Two angles form a linear pair. The measure of one of the angles is 62º.

What is the measure of the other angle in the linear pair?
[A] 118
[B] 62
[C] 28
[D] I don't know.

What is the value of x in this figure?
[A] x = 23
[B] x = 67
[C] x = 113
[D] I don't know.

What is the relationship between ∠AXE and ∠EXD in this figure?
[A] Complementary angles.
[B] Supplementary angles.
[C] Neither complementary nor supplementary angles.
[D] I don't know.

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

Answer:

[tex] \sf \: x = 5[/tex]

Step-by-step explanation:

Given equation,

→ 3(2x - 7) = 5 - (1 - x)

Now the value of x will be,

→ 3(2x - 7) = 5 - (1 - x)

→ 6x - 21 = 5 - 1 + x

→ 6x - x = 4 + 21

→ 5x = 25

→ x = 25/5

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

240 cm²

Step-by-step explanation:

Split the shape into a trapezoid (top half) and a rectangle (bottom half).

Area of a rectangle = width x length

⇒ area = 6.5 x 20 = 130 cm²

[tex]\textsf{Area of a trapezoid} = \frac{1}{2}(a+b)h[/tex]

(where a and b are the lengths of the base and top, and h is the height)

⇒ [tex]\textsf{area} = \frac{1}{2}(20+20)\times5.5[/tex]

⇒ area = 110 cm²

Total area = area of rectangle + area of trapezoid

⇒ area = 130 + 110 = 240 cm²

Answer:

[tex] x\ intercept = (-8,0)\\\\ y\ intercept = (0,-4)[/tex]

Step-by-step explanation:

A equation is given and we need to find out the x and y intercept . The given equation is ,

[tex]\longrightarrow -2x + 4y =-16[/tex]

In order to find out the y intercept , substitute x = 0 in the given equation,as;

[tex] -2x + 4y =-16\\\\\longrightarrow -2(0)+4y =-16\\\\\longrightarrow 4y = -16\\\\\longrightarrow y =\dfrac{-16}{4}\\\\\longrightarrow y = -4 [/tex]

Again to find x intercept substitute y = 0 in the given equation, as ;

[tex]\longrightarrow -2x + 4y = -16 \\\\\longrightarrow -2x +4(0)=16\\\\\longrightarrow -2x = 16\\\\\longrightarrow x =\dfrac{16}{-2}\\\\\longrightarrow x =-8[/tex]

This is the required answer !

percentage is a ratio of a number or fraction to 100

percentage =per(every) + cent (100)

per cent = per 100

percentage calculation formula (%) = (part / whole ) ×100

percentage increase equation = 100 ×( final - initial) /initial

ex1 : 2% is 2 percent = 2/100 =2:100

ex2: 35% = 35/100

48% = 48/100

ex3 : find the following 10% of 25,000

step 1 : convert 10% into fraction = 10/100

step 2 : multiply the fraction with value = 10/100× 25,000

answer = 2,500

ex4 : what is 7% of 68m ?

step 1 : convert 7% into fraction = 7/100

step 2 : multiply the fraction with value = 7/100 × 68

answer = 4.76 m

ex5 : The original price of a shirt was $10. It was decreased to $5 . What is the percent decrease of the price of this shirt?

step 1 : find the amount decreased = $10–$5 =$5

step 2 : write as part / whole = $5 / $10 = $0.5

step 3 : multiply by 100 = 0.5 × 100 = 50%

ex6 : Mary has a monthly salary of $21,000. She spends $350 per month on food. What percent of her monthly salary does she spend on food?

step 1 : write as part /whole and multiply by 100

= ( 350 / 21000 ) ×100 = 1.7 %

ex6 : The price of a pair of shoes was decreased by 21% to $100. What was the original price of the trousers?

step 1 : write % as fraction = 21/100

original price = y

(y × 21/100 ) = amount decreased --------- 1

y - amount decreased = $100 -------------- 2

rearrange equation 2 as;

y - $100 = amount decreased -------------- 3

when you equate both equation 1 and 3 you should get the ans y = $ 126.58

ex6 : The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?

step 1 : part / whole = (120 - 100) / 120 = 0.17 = 17%

step 2 : part / whole = (100 - 80) / 100 = 0.20 = 20%

The part were the same in both cases but the whole was smaller in the second decrease.

ex7 : A family had dinner in a restaurant and paid $35 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner?

for food = $35

sale tax = 9.5/100 × 35 = $3.33

tip = 10 /100 × 35 = 3.5

total = $45.83

ex8 : Smith invested $5000 for two years. For the first year, the rate of interest was 7% and the second year it was 8.5%. How much interest did he earn at the end of the two year period?

Answer

Interest at the end of the first year

7/100 * 5000 = $350

Interest at the end of the second year

8.5/100 * (5000 + 350) = $454.75

Total interest at the end of the two year period is

$350 + $454.75 = $804.75

.23 times 5 is 1.15

the answer would be she used 1.15 feet of ribbon

Answer:

Step-by-step explanation:

Given:

Given equation:

Solve:

In total, Tanya used 1.15 feet of ribbon.

The height of the flagpole to the nearest hundredth is 11.41 m

In order to get the height of the flagpole, we will use the similarity theorem of shapes.

From the given diagram, we will have the expression

1.65/1.15 = x/7.95

Cross multiply

1.15x = 1.65 * 7.95

1.15x = 13.1175

x = 13.1175/1.15

x = 11.406

Hence the height of the flagpole to the nearest hundredth is 11.41 m

Learn more on similar shapes here: https://brainly.com/question/2644832

Answer:

85%

Step-by-step explanation:

Answer:

8/21

9/10

6/19

that cuz they are already in their simplest from or

Answer:

I am not quite sure of the answer but probably

125 dollars

Step-by-step explanation:

375÷3

=125

The Pie Chart is the best type of chart that could be used to represent the distribution of this data.

A pie chart is a type of circular statistical graph used for the representation of a data set. The graph's segments are proportionate to the percentage of the total in each group.  

However, the proportion of each portion of the pie chart is proportional to the number of the group as a whole.

Therefore, from the given information contains many data sets, each data can be represented in each portion to make a full Pie Chart.

Learn more about Pie Chart here:

https://brainly.com/question/25796636

Answer:

3 minutes

Step-by-step explanation:

if it takes 3 minutes to ride around your neighborhood it would make all of these statements true, it would mean that it takes 1 minute to ride in your block.

Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

Step-by-step explanation:

Add the ones with like terms.

which means the ones with things in common.

4/5x^2 + 1/4x^2 i'm adding this first because we have x^2 on both sides.

(4/5 + 1/4)x^2

= (5+16/20)x^2

= (21/20)x^2

the next terms are those with x as common.

(1/4 +- 1/5)x...take the sign into consideration while dealing with the terms within the equations.

=(1/4 - 1/5)x

=(5 - 4/ 20)x

= (1/20)x

= (1 × x) / 20

= x/20.

last ones are the constant terms(numbers)

1/6 + 2/3

=12 + 3 / 18

= 15/18...we can simplify this one as well.

= 5 × 3 / 6 × 3

= 5/6.

Now write all the results as a one equation.

descending order starting from the highest degree which is 6/5x^2 --> 1/20x ---> 5/6.

21/20x^2 + x/20+ 5/6.

Solution:

To factorize an expression, the minuend and the subtrahend must be divisible to a number.

In this case, 6 and 30 are divisible by 6, which is the GCF. The factorized form of the expression is:

Now, if we substitute the values into the distributive property....

Learn more about factorization: https://brainly.com/question/22097012

Answer:

I think it's B or A. Im not sure. sorry if i'm wrong.

Given :-

To Find :-

Solution :-

Here the cost price for Raj is Rs 400 and Selling price is Rs420 .

Here since SP > CP , so there's a profit .

→ Profit = SP - CP

→ Profit = Rs420 - Rs400

→ Profit = Rs 20

Now we can calculate the profit% as ,

→ Profit/CP * 100

→ Rs 20/ Rs 400 * 100 %

→ 20/4%

→ 5%

Hence the profit is 5% .

I hope this helps .

Answer:

Step-by-step explanation:

Cost price of the article = Rs 400

Selling price of the article = Rs 420

As, S.P > C.P

Profit = S.P – C.P

= Rs( 420 – 400)

⠀⠀⠀= Rs 20

So,

Profit percent = (20/400 × 100)%

⠀⠀⠀⠀⠀⠀⠀⠀ = (20/4) %

⠀⠀⠀⠀⠀⠀⠀⠀ = 5 %

Answer:

https://brainly.com/question/26694904

Step-by-step explanation:

this question has f.r.e.e points, answer is saying yes pls

Answer:

5. x = 8

11. x = 57.6

13. x = 11

15. x = 5

Step-by-step explanation:

In each part, I set up a proportion and cross multiplied to solve.

5. 4/3 = 2x + 4/x + 7

    x = 8

11. 25/30 = 48/x

    x = 57.6

13. 32/2x + 6 = 60/52.5

     x = 11

15. To find missing part: 35 - 20 = 15

     20/7x - 11 = 15/4x - 2

     x = 5

Answer:

I would say it is close to 4, but not 4.

Step-by-step explanation:

So I rounded the distance between the 2 plots with a line, and I got either 3.8 or 3.1

square root of 10 = 3.1

square root of 15 = 3.8

The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.

(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the square root of 10 choice.)

Answer:

see below

Step-by-step explanation:

f(4) = -11

g(x) = 2,x = 0

Answer:

f(x)= x^3+x^2-16x-16

By the factor theorem,

f(4)=4^3+4^2-(16×4)-16 =0

Since f(4)=0, (x-4) is a factor of x^3+x^2-16x-16

Step-by-step explanation:

Answer: B, it will be multiplied

Step-by-step explanation:

I just did the USATestprep

Answer:

11.8 m:

Step-by-step explanation:

Volume = pi×r²×h
95 = pi×1.6²×h
h = 95/(pi×1.6²)
h = 11.8122809326
h = 11.8 m (nearest tenth)

Answer:

11.8 m:

Step-by-step explanation:

Volume = pi×r²×h

95 = pi×1.6²×h

h = 95/(pi×1.6²)

h = 11.8122809326

h = 11.8 m (nearest tenth)

Answer :

hmmm ... :0 ?

Answer:

true

Step-by-step explanation:

Answer: 6.67

Step-by-step explanation:

Using the similarity theory, we get the equation

5/30 = BM/40

BM = 5*40/30 = 20/3 = 6.67

Answer number 2

Answer:

(150, 100) is the solution for the system of equations

Step-by-step explanation:

Without more context, I cannot give you an exact answer, but this graph shows the solution to a system of equations. When y is 100, x is 150.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

r = 20

Hope this helps!

Answer:

Circumference: 62.83

Step-by-step explanation:

Formula:

2 • π • r

OR

2 • 3.14 • 10

Since the radius is 10, replace the r variable for 10 and complete the equation. Hopefully this helps!

Answer:

(3, -6)

Step-by-step explanation:

Both equations are equal to y, so you can make them equal to each other:

-2x = 5x-21

Get the same terms on the same side by subtracting 5x from both sides"

-7x = -21

Get x alone by dividing both sides by -7:

x = 3

The simplest way to find y is by filling in 3 for x in the first equation:

y = -2(3)

Multiply:

y = -6

Check your answer by filling in 3 for x in the second equation:

y = 5(3) - 21

Multiply:

y = 15 - 21

Subtract:

y = -6

To check both answers together, fill in 3 for x and -6 for y in both equations (although we already checked both answers above):

-6 = -2(3)

-6 = -6

-6 = 5(3) - 21

-6 = 15 - 21

-6 = -6

Answer:

3,-6

Step-by-step explanation: