Answers
Answer:
a. m∠1 = 75°
b. m∠2 = 46°
c. m∠3 = 59°
d. m∠4 = 59°
e. m∠5 = 46°
f. m∠7 = 121°
g. m∠8 = 59°
h. m∠9 = 62°
i. m∠10 = 118°
j. m∠11 = 59°
k. m∠13 = 118°
i. m∠14 = 62°5
Example 5
m∠1 =78°
m∠2 = 102°
m∠3 = 59°
m∠4 = 102°
m∠5 = 38
m∠6 = 142°
m∠7 = 38°
m∠8 = 142°
m∠9 = 78°
m∠11 = 78°
m∠12 = 102°
m∠13 = 38°
m∠14 = 142°
Step-by-step explanation:
a. m∠1 ≅ m∠6 (Alternate angle theorem)
m∠1 = m∠6 = 75° (Definition of congruency)
m∠1 = 75°
b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)
m∠5 = 121° - 75° = 46°
m∠5 = 46°
m∠2 ≅ m∠5 (Alternate angle theorem)
m∠2 = m∠5 = 46° (Definition of congruency)
m∠2 = 46°
c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)
m∠3 = 180 - (75 + 46) = 59°
m∠3 = 59°
d. m∠4 = 180 - (m∠1 + m∠5)
m∠4 = 180 - (75 + 46) = 59°
m∠4 = 59°
e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)
m∠5 = 121° - 75° = 46°
m∠5 = 46°
f. m∠7 = m∠12 = 121° (Alternate angle theorem)
m∠7 = 121°
g. m∠8 = 180 - m∠7 = 180 - 121 = 59°
m∠8 = 59°
h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)
m∠9 = 180 - (59 + 59) = 62°
m∠9 = 62°
i. m∠10 = 180 - m∠9 = 180 - 62 = 118°
m∠10 = 118°
j. m∠11 = m∠8 = 59°
m∠11 = 59°
k. m∠13 = m∠10 = 118°
m∠13 = 118°
i. m∠14 = m∠9 = 62°
m∠14 = 62°
Example 5
m∠5 = m∠7 = 38
m∠5 = 38°
m∠6 = 180 - 38 = 142°
m∠6 = 142°
m∠8 = m∠6 = 142°
m∠8 = 142°
m∠12 = m∠10 = 102°
m∠12 = 102°
m∠11 = 180 - m∠12 = 180 - 102 = 78°
m∠11 = 78°
m∠9 = m∠11 = 78°
m∠9 = 78°
m∠1 = m∠9 = 78°
m∠1 =78°
m∠3 = 78°
m∠2 = m∠4 = m∠10 = 102°
m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°
m∠13 = 38°
m∠15 = 38°
m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°
m∠14 = 142°
m∠16 = 142°
Related Questions
Use the table to help determine the answer to the question below. If one cake needs 413 cup(s) of flour, how much flour will 3 cakes need?
Answers
Evaluate 8 - m/n + p² when m = 8, n = 2, p = 7.
Correct answer will be marked brainliest!!
Answers
Answer:
53
Step-by-step explanation:
so first of all we would have to plug in what were given and simplify:
[tex]8 - \frac{8}{2} + {7}^{2} \\ 8 - 4 + 49 = 4 + 4 9= 53[/tex]
PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answers
Answer:
C.
Step-by-step explanation:
GIVING BRAINLY FIRST TO ANSWER ACCURACTELY AND WITH AN AWESOME EXPLANATION!!
Answers
Hi! I believe your answer is 48 cups because there are 48 cups in 3 gallons, which is the most he can serve. I hope this helps you! Good luck and have a great day. ❤️ (Also, I see you play R0blox? Friend me: adriii_rose)
What is the product of 70 and 1.8 x 10^3 expressed in scientific notation?
Answers
Answer:
70 x 1800 = 126000=1.26 x 16^5
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
70 and 1.8 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be
⇒ 70 × 1.8 × 10³
⇒ 126 × 10³
The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.
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2 1/5 + 2 1/5 + 3 1/8 + 3 1/8
Answers
Answer:
Simplify the expression.
Exact Form:
213/20
Decimal Form:
10.65
Mixed Number Form:
10 13/20
Step-by-step explanation:
which is greater -0.53 or-0.51
Answers
Answer:
-.51 is greater
Step-by-step explanation:
-0.51 is greater than -0.53.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
-0.53 and -0.51
The number line from -0.50 to -0.55.
<_____-0.55__-0.54__-0.53__-0.52__-0.51__-0.50_____>
We see that,
-0.53 is less than -0.51
Thus,
-0.53 < -0.51
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9 to the 10th power
Answers
Answer:
3486784401
Step-by-step explanation:
Hi! 9 to the 10th power is written like this: [tex]9^{10}[/tex]. It equals 3,486,784,401. The equation is written like this: 9×9×9×9×9×9×9×9×9×9, NOT 9×10. I hope this helps you! Good luck and have a great day. ❤️
A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?
7x – 3
7x + 5
x + 5
x – 3
Answers
Answer:
x+5
Step-by-step explanation:
Answer:
which expression represents the measure of segment RS? x + 5
Step-by-step explanation:
on engenuity
pleassseee help will give good rating and brain :)
Answers
Answer:
Step-by-step explanation:
1. (x-3)(x+8)
x^2+5-24
2. (-3x+2)(4x+5)
-12x^2-7x+10
3. (x+4)(x-4)
x^2-16
4. (x+5)^2
x^2+10x+25
5. (2x-7)^2
4x^2-28x+49
6. (x-7)(x+7)
x^2-49
7. (5x-1)(2x+4x-3)
30x^2-13x+3
8. (3x^3+7x^2+7x+10
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?
Answers
Answer:
5.4 feet
Step-by-step explanation:
Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.
At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was 8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.
Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was 8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.
From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].
[tex]d= 10- (d_1+d_2)[/tex]
[tex]=10-(2.2+2.4)[/tex]
=5.4 feet
Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:
[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]
[tex]x_{1} = 10.4\,ft[/tex]
Now we determine the absolute elevation of the deck at 7 P.M.:
[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]
[tex]x_{2} = 7.6\,ft[/tex]
Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:
[tex]x' = 7.6\,ft - 2.2\,ft[/tex]
[tex]x' = 5.4\,ft[/tex]
The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.
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0.5b+4=2(b+2)
I need help on this question?
Answers
Answer: b=0
Step-by-step explanation:
0.5b+4=2(b+2)
0.5b+4=2b+4
4=1.5b+4
0=1.5b
b=0
Help me, pls! PLS! I need help ASAP, I'm stuck!! >:(
I would truly appreciate it if anyone can help me! Thank u!
(Science; Measuring Volume and Mass. Also, I'm not confused, it's just I've been seeing everyone answering Math questions more often and I kinda need my answers stat.)
Answers
Answer:
So the volume expands as kinetic energy is gained and the more mass there is the more kinetic energy there will be. Hopefully this helps you and if it doesn't I will add on to it, just lmk.
Use a common denominator to find –12+(-3).
Explain your answer.
Answers
The answer is 15 because you have two equal signs so they add up and that's why it gives that answer
Have a nice day / night!
Which table represents a linear function?
x---y
0---1
1---2
2---4
3---8
x---y
0---0
1---1
2---3
3---6
x---y
0---0
1---1
2---0
3---1
x---y
0---1
1---3
2---5
3---7
Answers
Answer:
I am pretty sure the last one is correct
The table that represents a linear function is:
x---y
0---1
1---2
2---4
3---8
Here, we have,
from the given tables, we get, the information that,
from the 1st table, we get,
x---y
0---1
1---2
2---4
3---8
In this table, the y-values increase by a constant difference of 1 as the x-values increase by a constant difference of 1.
This indicates a linear relationship between x and y, where the y-value is twice the x-value.
but, in the other tables, we can't get any linear relationship between x and y.
so, we get,
The table that represents a linear function is:
x---y
0---1
1---2
2---4
3---8
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Can someone please help me ?
Answers
Answer:
The answer is C because 40% of 1450 is 580.
1. Quinn is knitting a scarf with his grandmother. Yesterday, his grandmother
used 3/4 of a
skein of wool and Quinn used 1/12 of a skein. How much more wool did
Quinn's
grandmother use than Quinn?
Answers
George ate 2/3 of a container of Chinese food, Silvia ate1/5 of the same container of Chinese food. What fraction of the container of Chinese food did they eat all together?
Answers
Answer:
13/15
Step-by-step explanation:
2/3, 1/5
10/15 + 3/15 - find a common denominator
13/15 - add fractions, simplify if possible (in this case it is already simplified)
What are the x and y-intercepts of the line described by the equation?
2x + 4y = 12.4
Enter your answers, in decimal form, in the boxes.
x-intercept =
y-intercept =
Answers
Answer:
x-int (6.2, 0)
y-int (0, 3.1)
Step-by-step explanation:
x-intercept is found when y = 0.
y-intercept is found when x = 0.
Step 1: Define equation
2x + 4y = 12.4
Step 2: Find x-intercept
Substitute y for 0.
2x + 4(0) = 12.4
2x = 12.4
x = 6.2
(6.2, 0)
Step 3: Find y-intercept
Substitute x for 0.
2(0) + 4y = 12.4
4y = 12.4
y = 3.1
(0, 3.1)
Maya is working two summer jobs, making $7 per hour babysitting and $11 per hour landscaping. Last week Maya earned a total of $96 and worked 3 times as many hours babysitting as she worked hours landscaping. Determine the number of hours Maya worked babysitting last week and the number of hours she worked landscaping last week.
Answers
Answer:
3 hours for landscaping and 9 hr for babysitting
Step-by-step explanation:
So take x to be babysitting and y to be landscaping
The equation will be 7x+11y=96
$7 for the baby sitting and $11 for the landscaping and 96 for the total
So then it says 3 times as many hours than landscaping so x equation will look like this x=3*y
So replace the terms - 7*(3y)+11y=96
Simplify (7*3)y+11y=96
Simplify more 21y+11y=96
You get 32y=96
Divide both sides by 32 to have y only 32y/32=96/32
You will get y=3
So landscaping will be 3 hours and it says that babysitting is 3 times so multiply 3 you get 9
So landscaping is 3 hours and babysitting is 9 hours
Hope this help
(It may be wrong so if it is im sorry :( )
Answer:3 hours for landscaping and 9 hr for babysitting
Step-by-step explanation:
What is the solution to the inequality 5.25 – b ≥ 6.5? A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5. A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5. A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
Answers
Given:
The inequality is
[tex]5.25-b\geq 6.5[/tex]
To find:
The solution of the given inequality on the number line.
Solution:
We have,
[tex]5.25-b\geq 6.5[/tex]
Subtract 5.25 from both sides.
[tex]5.25-b-5.25\geq 6.5-5.25[/tex]
[tex]-b\geq 1.25[/tex]
Multiply both sides by -1 and change the sign of inequality.
[tex]b\leq -1.25[/tex]
The value of b always less than or equal to -1.25. Since -1.25 included in the solution set, therefore there is a solid circle on -1.25.
-1.25 lies between -2 and -1. It means the solid circle lies between -1 and -2.
[tex]b\leq -1.25[/tex], so the number line is shaded from the circle to negative 5.
A number line going from negative 5 to positive 5 is the required solution if a solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
Therefore, the correct option is A.
Answer:
the correct answer is option C
Step-by-step explanation:
I fixed my mistake from choosing option A
There are 2 out of 5 boxes shaded. What percent is not shaded?
Answers
Answer:
i am going to say 3/5 but am not sure
Step-by-step explanation:
PLS HELP ILL MARK BRAINEST DUE IN 20 minsss
Answers
Answer:
ill help
Step-by-step explanation:
A mobile company charges a fixed rate of x cents per minute for the first 120 minutes of talk time and another rate of y cents per minute for each additional minute of talk time. Ethan paid $26.80 and $32.40 for 175 mins and 210 minutes of talk time on two different occasions respectively. find the amount he has to pay if he uses 140 mins of talk time.
Answers
Answer:
$21.2
Step-by-step explanation:
From the problem given, we express them as algebra so that we can easily solve;
the total charge on a call greater than 120min is given as;
120x + y(n - 120) = total cost of call
where n is the number of minutes which is greater than 120;
Ethan paid $26.80 for 175 minsn = 175min here;
120x + y(175 - 120) = 26.80
120x + 55y = 26.80 ----- (I)
$32.40 for 210 minutesn = 210min
120x + y(210 - 120) = 32.4
120x + 90y = 32.4 ----- (II)
Now let us solve both equations for y and x;
120x + 55y = 26.80 ----- (I)
120x + 90y = 32.4 ----- (II)
subtract the two equations;
90y - 55y = 32.4 - 26.8
35y = 5.6
y = [tex]\frac{5.6}{35}[/tex] = 0.16cents
then x;
120x = 26.8 - 55y from equation I
120x = 26.8 - 55(0.16)
120x = 18
x = [tex]\frac{18}{120}[/tex] = 0.15cents
Find the cost of 140min of talk time;
n =140min;
= 120(0.15) + 0.16(140 - 120)
= 18 + 0.16(20)
= 18 + 3.2
= $21.2
Choose the definition, theorem, or postulate that justifies the statement.
A. Definition of a Right Angle
B. Definition of Complementary Angles
C. Congruent Complements Theorem
D. Complement Theorem
E. Definition of Supplementary Angles
F. Definition of Angle Bisector
G. Supplement Theorem
H. Definition of Perpendicular
I. Angle Addition Postulate
J. Vertical Angles Theorem
K. Congruent Supplements Theorem
L. Definition of Congruence
Answers
Answer:
its b i got it correct
Step-by-step explanation:
on ed 2020
The perimeter of triangle ABC is 138 cm and BC || DE. Is triangle ABC = triangle ADE? Which conjecture supports your conclusion?
please help me it’s due in 30 minutes!!
Answers
Answer
yes triangle ABC is equal to triangle ADE
Step-by-step explanation:
x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal
We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.
Given, (x + 4) + x + (x - 4) = 138.
3x = 138.
x = 46.
Now, BC = ED = (46 - 4) = 42 cm.
Assuming DA to be y.
∴ 46 + 42 + y = 138.
y = 50
And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.
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Jacob is going on a road trip across the country . He covers 10 miles in 15 minutes . He spends 10 minutes buying gas and some snacks at a gas station. He then continues on his road trip describe the distance traveled between 10 minutes and 15 minutes
Answers
Answer: 3.33miles
Step-by-step explanation:
given data:
distance covered in first 15 minutes = 10 miles
time spent buying gas and some snacks = 10mins.
= 10/15 * (15 –10 )
= 3.33miles
jacob has traveled 3.3miles between 10 and 15 minutes.
Answer:
3.33 miles!
Step-by-step explanation:
Use the order of operations to simplify the following expression.
11 - 3 × 2.4 + 5
8.8
1.2
24.2
59.2
Answers
Multiplying comes first (-3 x 2.4 = -7.2)
Next is addition and subtraction from left to right so (11 - 7.2 = 3.8 and then 3.8 + 5 = 8.8)
hope this helps :)
Which of these expressions has the same product as ()?
Select all that apply.
A.
()
B.
()
C.
()
D.
()
E.
()
Answers
Answer:
none
Step-by-step explanation:
I can't find any question there
8x+x(−2x+6)−7(−2x2+5x−6)
help me this
Answers
Answer: 12x2 -21x +42
Step-by-step explanation: