Answers
[tex]\bold{\huge{\purple{\underline{ Solutions}}}}[/tex]
Answer 5 :-We have,
[tex]\sf{ HE = 2x cm \: and \: OR = ( x + 5)cm}[/tex]
We know that,
Parallelogram has opposite sides parallel and equal.From above property,
[tex]\sf{ HE = OR }[/tex]
[tex]\sf{ 2x = x + 5}[/tex]
[tex]\sf{ 2x - x = 5}[/tex]
[tex]\sf{ x = 5}[/tex]
Thus, The value of x is 5cm
Therefore,
The value of HE
[tex]\sf{ = 2x}[/tex]
[tex]\sf{ = 2× 5}[/tex]
[tex]\sf{\red{ = 10 cm}}[/tex]
The measurement of HE is 10 cm
Hence, Option A is correct
Answer 6 :-We have,
[tex]\sf{m}{\sf{\angle{HER = 5y - 26° \: and\: m }}}{\sf{\angle{ ROH = 2y + 40°}}}[/tex]
In parallelograms, Opposite angles are equalFrom above property,
[tex]\sf{m}{\sf{\angle{HER = }}}{\sf{\angle{ ROH}}}[/tex]
[tex]\sf{ 5y - 26° = 2y + 40°}[/tex]
[tex]\sf{ 5y - 2y = 40 + 26}[/tex]
[tex]\sf{ 3y = 40 + 26}[/tex]
[tex]\sf{ y = 66/3}[/tex]
[tex]\sf{ y = 22°}[/tex]
Thus, The value of y is 22°
Therefore,
The measurement of Angle HER
[tex]\sf{ = 5 × 22 - 26 }[/tex]
[tex]\sf{ = 110 - 26 }[/tex]
[tex]\sf{\red{= 84° }}[/tex]
The measurement of angle HER is 84°
Hence option D is correct
Answer 7 :-We have,
[tex]\sf{ HZ = 4a - 5 \:and \:RZ = 3a + 5 }[/tex]
The diagonals of parallelogram are equal in length Here, RZ is the bisector of diagonal HR[tex]\sf{ 4a - 5 = 3a + 5 }[/tex]
[tex]\sf{ 4a - 3a = 5 + 5}[/tex]
[tex]\sf{ a = 10}[/tex]
Thus, The value of a is 10
Therefore,
The measurement of HZ
[tex]\sf{ = 4 × 10 - 5 }[/tex]
[tex]\sf{ = 40 - 5 }[/tex]
[tex]\sf{\red{= 35 \: cm }}[/tex]
The measurement of HZ is 35 cm
Hence, Option C is correct
Answer 8 :-We have ,
One diagonals = 5x - 47
Another diagonal = 2x + 34
In isosceles trapezoid, Diagonals are equal in length.From above property,
[tex]\sf{ 5x - 47 = 2x + 34 }[/tex]
[tex]\sf{ 5x - 2x = 34 + 47}[/tex]
[tex]\sf{ 3x = 81 }[/tex]
[tex]\sf{ x = 81/3 }[/tex]
[tex]\sf{ x = 27}[/tex]
Thus, The value of x is 27
Hence, Option A is correct
Answer 9 :-We have,
The sides of parallelogram GAME are (7x - 1 ) , ( 5x + 10 ) , (6x) , ( 7x - 2 )
In parallelogram, Opposite sides are equalFrom above property,
[tex]\sf{ 7x - 1 = 6x }[/tex]
[tex]\sf{ 7x - 6x = 1 }[/tex]
[tex]\sf{ x = 1 }[/tex]
[tex]\sf{ 5x + 10 = 7x - 2}[/tex]
[tex]\sf{ 7x - 5x = 10 + 2 }[/tex]
[tex]\sf{ 2x = 12}[/tex]
[tex]\sf{ x = 12/2 }[/tex]
[tex]\sf{ x = 6 }[/tex]
Thus, measurements of parallelogram GAME in inches is 1 and 6 .
Hence, Option B is correct
Answer 10 :-We have,
[tex]\sf{ ES = 18 cm}[/tex]
The diagonals of rectangle are equal in length. Here, NP = OE PS and NS act as a bisector in OE and OS and ES act as a bisector in NPFrom above we can say that,
[tex]\sf{ OE = OS + ES }[/tex]
[tex]\sf{ OE = 2ES ( OS = ES bisector}[/tex]
[tex]\sf{ OE = 2 × 18 }[/tex]
[tex]\sf{ OE = 36cm }[/tex]
Thus, The value of OE is 38 cm
Therefore,
[tex]\sf{ OE = NP }[/tex]
[ Diagonals of the given rectangle ]
[tex]\sf{\red{NP = 36 cm }}[/tex]
Thus , The value of NP is 36 cm
Hence, Option C is correct
Related Questions
What is the slope of -5,6 and -9,-6
Answers
Answer:
0
Step-by-step explanation:
picture
Coach Brown had to buy baseballs for his team. He bought practice baseballs at $1.75 each, rubber pitching machine balls at $2.80 each, and leather game balls at $6.25 each. He bought 250 balls in total, and 20 fewer game balls than pitching machine balls.
If the total came to $974.65, then how many of each ball were ordered?
A. 130 practice, 113 machine, and 93 game balls
B. 44 practice, 113 machine, and 93 game balls
C. 206 practice, 113 machine, and 93 game balls
D. 114 practice, 113 machine, and 73 game balls
Answers
44 practice, 113 machine, and 93 game balls
===========================================================
Explanation:
x = number of practice baseballsy = number of pitching machine baseballsz = number of game ballsHe bought 20 fewer game balls than pitching machine baseballs, which means,
z = y-20
Since the coach bought 250 baseballs total we can also write
x+y+z = 250
Let's replace z with y-20 and simplify
x+y+z = 250
x+y+y-20 = 250
x+2y = 250+20
x+2y = 270
Now let's calculate the subtotal costs for each type of baseball
1.75x = cost of just the practice baseballs2.80y = cost of just the pitching machine baseballs6.25z = cost of just the leather game balls.Those subtotals add to this
1.75x+2.80y+6.25z = total cost = $974.65
1.75x+2.80y+6.25z = 974.65
Like before, I'll replace z with y-20
1.75x+2.80y+6.25(y-20) = 974.65
1.75x+2.80y+6.25y-125 = 974.65
1.75x+9.05y = 974.65+125
1.75x+9.05y = 1099.65
------------------------------
So far we have this system of equations
[tex]\begin{cases}x+2y = 270\\1.75x+9.05y = 1099.65\end{cases}[/tex]
I'll use substitution to solve the system.
Isolate x in equation (1)
x+2y = 270
x = 270-2y
Then plug this into equation (2) and solve for y.
1.75x+9.05y = 1099.65
1.75(270-2y)+9.05y = 1099.65
472.5-3.5y+9.05y = 1099.65
472.5+5.55y = 1099.65
5.55y = 1099.65-472.5
5.55y = 627.15
y = 627.15/5.55
y = 113
There are 113 pitching machine baseballs.
Use this y value to find x
x = 270-2y
x = 270-2(113)
x = 270-226
x = 44
There are 44 practice baseballs.
Also, we can say,
z = y-20
z = 113-20
z = 93
There are 93 game balls.
------------------------------
Check:
x+y+z = 44+113+93 = 250 baseballs total
A = 1.75*x = 1.75*44 = 77 = cost of just the practice baseballsB = 2.80*y = 2.80*113 = 316.40 = cost of just the pitching machine baseballsC = 6.25*z = 6.25*93 = 581.25 = cost of just the game ballsA+B+C = 77+316.40+581.25 = 974.65 = total cost
Everything checks out. Also note that value of z is 20 fewer than the value of y.
When the rejection region is in the lower tail of the sampling distribution, the p-value is the area under the curve _____.
Answers
Answer:
less than or equal to the test statistic.
Step-by-step explanation:
A shirt at the store is being offered at a 5% discount. If the original price of the shirt is x, which answer choice shows an expression that represents the discounted price of the shirt?
1. 0.95x
2. 1.05x
3. 0.05x
4. x + 0.05
Answers
Answer:
1. 0.95x
Step-by-step explanation:
The amount of the discount is 0.05x, so the discounted price is ...
x - 0.05x = x(1 -0.05) = 0.95x
Natasha is a regional manager for a chain of supermarkets. She has been tasked with researching the weekly sales records of two branch locations over the past month, which she must present to her board of directors. She was able to assemble the relevant information in the table below, but it is scrambled and hard to read. Sales are listed in thousands of dollars. Week 4 1 1 3 4 2 3 2 Sales 16. 3 17. 8 23. 1 15. 2 20. 2 23. 4 22. 9 17. 6 Branch North South North South South North North South In order to make the data more readable, Natasha has decided to put it into a graph. Which of the following graphs accurately matches the information in the table? I. A bar graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23. Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2. II. A line graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. III. A graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. Points are plotted all over the graph. IV. A pie chart titled Sales (dollars times 1,000). North 1, 16. 3; North 2, 17. 8; North 3, 23. 1; North 4, 15. 2; South 1, 20. 2; South 2, 23. 4; South 3, 22. 9; South 4, 17. 6. A. I b. II c. III d. IV.
Answers
The graph which accurately matches Natasha's data for chain of supermarkets is bar graph.
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Natasha was able to assemble the relevant information in the table below,
Sales listed in thousands of dollars.
Week - 4 1 1 3 4 2 3 2
Sales- 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6
Branch- North South North South South North North South
To show the sales with respect to the time period, the best data chart is the bar graph. In a bar graph, the height of the bars is proportional to the data value it posses.
Here , for the sales by the Natasha the bar graph should be used as, the bar graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23.
Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2.
Hence, the graph which accurately matches Natasha's data for chain of supermarkets is bar graph.
Learn more about the data table here;
https://brainly.com/question/15602982
Answer: A. I
Step-by-step explanation:
its on edge 2022 and the answer they gave made me get it wrong. its A :)
What is the equation of the non-proportional relationship given by the table below?
x y
3 76
6 70
9 64
12 58
15 52
y=2x+76
y=-2x+82
y=-2x-76
y=2x-82
Answers
Answer:
i like cheese and GAN rubik's cubes
get one at TheCubicle.com
free 2-3 day shipping unlike amazon
Step-by-step explanation:
Frances gets 6 paychecks in 12 weeks.How many paychecks dose she get in 52 weeks
Answers
Please like and brainiest
Answer:
26.
Step-by-step explanation:
6 paychecks in 12 weeks is 1 paycheck every 2 weeks.
52 divided by 2 is 26. She gets 26 paychecks in 52 weeks.
2) Father earns Rs 21,600 in a month. He spends 15% of his earning on the education of his children and 25% on food. a (i) Find his total expense on education and food. (ii) How much does he save in a month ? (iii) How much does he save in 1 year ? (iv) If he spends 80% of his annual saving to buy a piece of land, What is the cost of the land ?
Answers
Answer:
a) i) Rs 8,640
ii) Rs 12,960
iii) Rs 155,520
iv) Rs 124,416
Step-by-step explanation:
Salary = Rs 21,600 per month
a) i)
Percentage of salary spent on education = 15%
⇒ 15% of 21600 = 0.15 x 21600 = 3240
Percentage of salary spent on food = 25%
⇒ 25% of 21600 = 0.25 x 21600 = 5400
Therefore, total monthly expenses = 3240 + 5400 = 8640
ii) Monthly savings = monthly salary - monthly expenses
= 21600 - 8640
= 12960
iii) 1 year savings = monthly savings x 12
= 12960 x 12
= 155520
iv) 80% of savings = 0.8 x 155520 = 124416
Jessica uses a food delivery service to order dinner. She paid $27.44 for dinner, which included the cost of the food and a delivery
fee, which was 12% of the cost of the food
What was the cost of Jessica's dinner before the delivery fee?
Enter your answer in the box
Answers
Answer:
3.29
Step-by-step explanation:
Turn 12% to 0.12.
Multiply 27.44 times 0.12.
Answer:
$24.50
Step-by-step explanation:
Total cost = food cost + (food cost x 12%)
27.44 = x + (x • 0.12)
(rearrange and distribute)
1x + 0.12x = 27.44
(solve for x)
1.12x = 27.44
x = 27.44 / 1.12 = 24.50
Original food cost is $24.50
What is the area?
4 mm
6 mm
6 mm
Answers
If AS = 20 and BS = 5, what is the measure of AC? Round to the nearest hundredth. Show all your work.
Answers
Answer:
When a radius and a tangent meet it us always 90 degrees therefore as is the hypotenuse and the length of a radius in a circle stays constant finding ac is easy as you use pythagoras theorem
C2-a2=b2
[tex] \sqrt{20 ^{2} } - 5^{2} [/tex]
=19.36
20
Distributive Property to multiply 3x(x+5)
Answers
Answer: 3x^2+15x
Step-by-step explanation:
3x(x+5)
(x * x = x^2 and x * a number = a coefficent)
= 3x^2+15x
Answer: [tex]3x^{2}[/tex]+15x
Step-by-step explanation: 3x(x+5) then you distribute the 2x to all numbers in the parentheses leaving [tex]3x^{2}[/tex]+15x which is already simplified
To convert a temperature measured in degrees Fahrenheit to degrees Celsius, there is a formula
C=5/9(F-32)
where C represents the temperature in degrees Celsius and F represents the temperature in degrees Fahrenheit.
If a temperature is 113`F, what is that temperature measured in Celsius?
Answers
Answer:
113`F= 46.11° Celsius
Step-by-step explanation:
(Celsius°C × 9/5) + 32 = Fahrenheit
(Celsius°C × 9/5) + 32 = 113
(Celsius°C × 9/5) = 113 - 32
(Celsius°C × 9/5) = 83
Celsius = 5(83)/9
Celsius = 46.11° Celsius
[tex]\\ \tt\hookrightarrow C=5/9(F-32)[/tex]
[tex]\\ \tt\hookrightarrow C=5/9(113-32)[/tex]
[tex]\\ \tt\hookrightarrow C=5/9(81)[/tex]
[tex]\\ \tt\hookrightarrow C=5(9)[/tex]
[tex]\\ \tt\hookrightarrow C=45°C[/tex]
PLSSS SOMEONE HELP ME FASTt
Answers
Answer:
50%
Step-by-step explanation:
29/58 = 0.5
0.5 = 50%
What is the first step in solving the equation? 7 (x - 3) = 15+ x
a. Distribute by multiplying 7 by the terms in the parentheses
b. Multiply by 7 on both sides of the equation
c. Add 3 to both sides of the equation
d. Subtract x from both sides of the equation
Answers
Answer:
The first step is A, distributing and multiplying 7 to the x and -3 in the parentheses
Step-by-step explanation:
It’s kind of hard to offer and explanation for this, so sry!
(Please award brainliest if possible!)
Answer:
(a).
Step-by-step explanation:
7 is outside the parentheses and needs to be distributed to x and -3 before trying to isolate the x.
12. Suppose n is an integer. Select all statements below that are true:
O n2+ n is always an even integer
O n2+ n is always an even integer when n is even
O n2+ n is always an evet integer when n is odd
O n2+ n is never an even integer when n is odd
O n2+n is is never an even integer
O n2+ n is sometimes an even integer
Answers
Answer:
True statements
n is always an even integer when n is evenn is never an even integer when n is oddn is sometimes an even integerStep-by-step explanation:
Integer: a whole number that can be positive, negative, or zeroe.g. ...-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 ...
True statements
n is always an even integer when n is evenn is never an even integer when n is oddn is sometimes an even integerHELP ASAP!!!
3 2/5 + 5 1/5 + 2 4/5
Answers
Answer:
See below.
Step-by-step explanation:
3 2/5 as a mixed fraction is 17/5.
5 1/5 as a mixed fraction is 26/5.
2 4/5 as a mixed fraction is 14/5.
So, the expression is 17/5 + 26/5 - 14/5, or C.
-hope it helps
A tv cost £800 plus VAT at 20%. What is the total cost of the tv
Answers
Answer:
£960
Step-by-step explanation:
100%=£800
20% of £800= 800/100 x 20 = £160
£800+VAT=120%= £800+£160=960
Please help??!?!??? Bplease
Answers
Answer:
radical 7<14÷5
bcoz radical 7 is 2.645
and 14÷5 is 2.8
Felicia has a garden in the shape of a parallelogram as shown.
What is the area of her garden?
72 ft
75 ft
92 ft
96 ft
Answers
Answer:
72 ft
Step-by-step explanation:
i got this question correct
A video game costs $16.40 before tax. What is the total cost after the 5% sales tax?
Answers
Answer:
$17.22
Step-by-step explanation:
→ Find the multiplier
( 100 + 5 ) ÷ 100 = 1.05
→ Multiply answer by cost
16.40 × 1.05 = $17.22
please the question is in the screenshot
Answers
a triangle has an area of 63 square inches. if the height s 9 inches. what is the length of the base
Answers
Answer:
14 = b or b = 14
Step-by-step explanation:
Area of a triangle: 1/2*b*h
Area = 1/2*b*h
63 = 1/2*b*9
63 = 9/2b
2(63 = 9/2b)
126 = 9b
/9 /9
14 = b or b = 14
Check:
63 = 1/2*b*9
63 = 1/2*14*9
63 = 7 * 9
63 = 63
Hope this helps!
You will do it reversed
So you will do 63*2
Which is 126 and then you will do 126/9
Which is 14
The length is 14.
Check your work
A=b*h/2
63=9*14/2
63=126/2
63=63
If a stadium pays $11,000 for labor and $7,000 for parking, what would the stadium's parking revenue have to be if the stadium is hoping parking labor is 6% of parking revenue?
Answers
Answer:
183,333
Step-by-step explanation:
does somebody know the answer to this?
Answers
j- 120 degrees
k- 38 degrees
For j...
The formula to find the total interior angle measurement for one angle is [tex]\frac{(x-2)180}{2}[/tex]. "x" is the number of angles. So in this case [tex]\frac{(6-2)180}{2}[/tex].
For k...
opposite vertical angles are equal, so the measurement provided will be the same for k.
Can someone check my answers?
Answers
Answer:
givenvertical angle congruenceAA similarity theoremStep-by-step explanation:
1. ∠C ≅ ∠E . . . . given
2. ∠ABC ≅ ∠DBE . . . . vertical angle congruence theorem
3. ΔABC ~ ΔDBE . . . . AA similarity theorem
_____
When showing similarity of triangles with no marked sides, theorems that involve sides (SSS, SAS, AAS) do not apply. The only theorem you can invoke is the AA similarity theorem.
A proof generally begins by restating those things that are "given," that form the basis for the rest of the proof. Here, the arcs on the diagram show that angles C and E are congruent. That is "given."
Lee recorded the number of push ups he did each each day for six days his data are listed below 68,41,58,75,48,40 what are the mean and the median of lees data set
Hleppppp please
Answers
Answer:
mean : 55; median : 53
Step-by-step explanation:
Given inputs: 68, 41, 58, 75, 48, 40
total numbers of input = 6
total value = 68 + 41 + 58 + 75 + 48 + 40 = 330
Mean → total value / total numbers of input = 330 / 6
= 55
arrange in increasing order: 40, 41, 48, 58, 68, 75
we can see that the median is between, 48 and 58,
so median → (48+58)/2 → 53
can someone help me with this problem pls!
Answers
Answer:
blank 3 = 152
blank 4 = 240
blank 5 = 480
Step-by-step explanation:
6×80=(3×8)+3×_
480=24+3x
3x= 480-24
x = 480-24/3
x=152
B
с
8x - 7
H
7x + 2
E
10x - 1
к
A
D
What is the length of AD ?
AD =
Answers
Answer:
Step-by-step explanation:
55
A bike was recently marked down $200. 00 from its initial price. If you have a coupon for an additional 30% off after the markdown, how much will the bike cost if it was originally $950. 00?.
Answers
Percentage is represented by '%' symbol. The final cost of the bike will be equal to $490.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
Given to us
The initial cost of the bike, P = $950
Additional coupon = 30%
Marked down = $200
We know the original cost of the bike which is $950. therefore, when the price of the bike was marked down, its cost will be,
$900 - $200 = $700
Thus, the marked-down cost of the bike will be $700.
As it is given that we have an additional 30% off after the markdown, therefore, cost of the bike will be 70% of the marked price,
[tex]70\%\ of\ \$700\\\\ = 0.70 \times 700\\\\= \$490[/tex]
Hence, the final cost of the bike will be equal to $490.
Learn more about Percentage:
https://brainly.com/question/6972121