Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.

Answer:

x = 32

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(x+18) * 18 = 30^2

(x+18) * 18 = 900

Divide each side by 18

(x+18) * 18/18 = 900/18

(x+18)  = 50

Subtract 18 from each side

x+18-18 = 50-18

x=32

Answer:

50

Step-by-step explanation:

tangent-secant theorem

Answer:

I don't know what the answer choices are because this question is used twice But if im guessing correctly you mean the one where the answer choices are 6, 8, 12, and 24. The Correct answer is 6

a2 + 8a + 12 = (a + 2)(a + )

The answer is 6

Step-by-step explanation:

Answer: 2 hr and 13 min

Step-by-step explanation:

Given

Bilal starts at 3 PM and finishes at 5:38 PM

He took a rest of 25 min

Total time spent 2 hr and 38 min

time spend in cycling is given by

[tex]\Rightarrow 2\ hr\ 38\ min-25\ min\\\Rightarrow 2\ hr\ 13\ min\ or\\\Rightarrow 120\ min+13\ min=132\ min\ or\\\Rightarrow 2+0.21=2.21\ hr[/tex]

Answer:

to put in the value of any variable in this equation(for example 2 ) we will write it as

g(2) = 4(2) - 4(2)^2 + 7(2) -8

g(2) = 8 - 16 + 14 - 8

g(2) = -2

Step-by-step explanation:

Given:

John had to pay a combined electric and gas bill $150.

The electric portion of the bill was $90.

To find:

The ratio of money spent on electric to that on gas.

Solution:

Let x be the amount of gas bill.

The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150.  So,

[tex]90+x=150[/tex]

[tex]x=150-90[/tex]

[tex]x=60[/tex]

The gas portion of the bill was $60.

The ratio of money spent on electric to that on gas is:

[tex]\text{Required Ratio}=\dfrac{\text{Electric bill}}{\text{Gas bill}}[/tex]

[tex]\text{Required Ratio}=\dfrac{90}{60}[/tex]

[tex]\text{Required Ratio}=\dfrac{3}{2}[/tex]

[tex]\text{Required Ratio}=3:2[/tex]

Therefore, the ratio of money spent on electric to that on gas is 3:2.

Answer:

375

Step-by-step explanation:

Lily paid $750 each month for 36 months to pay off her car loan.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the amount that Lily paid each month, we can divide the total cost of the car by the number of monthly payments:

So,

Amount paid each month

= Total cost / Number of payments

In this case,

The total cost is $13,500 and the number of payments is 36:

Amount paid each month = $13,500 / 36

We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor of 13,500 and 36, which is 18:

Amount paid each month = $750

Therefore,

Lily paid $750 each month for 36 months to pay off her car loan.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

Divide the each part and get the circle 360 and triangle 180

Answer:

6 dollars per lbs

Step-by-step explanation:

Take the y value and divide by the x value  ( since the line goes through the point (0,0))

12 dollars/ 2 lbs

6 dollars per lbs

Answer:

Probability[Selected ball is a white ball without replacement (W)] = 5 / 22

Step-by-step explanation:

Given:

Number of white ball in jar = 5

Number of black ball in jar = 6

Find;

Probability[Selected ball is a white ball without replacement (W)]

Computation:

Probability of an event = Number of favorable outcomes / Total number of outcomes

Probability of 1st white ball = 5 / [5 + 6]

Probability of 1st white ball = 5 / 11

Probability of 2nd white ball [without replacement] = 5 / [11 - 1]

Probability of 2nd white ball [without replacement] = 5 / 10

Probability[Selected ball is a white ball without replacement (W)] = [5/11][5/10]

Probability[Selected ball is a white ball without replacement (W)] = 25 / 110

Probability[Selected ball is a white ball without replacement (W)] = 5 / 22

Answer:

7 1/8 lbs

Step-by-step explanation:

144 ounces * 1 lbs/ 16 ounces

The ounces cancel

144/16 lbs

7 1/8 lbs

Answer: TRY E

IF WRONG TRY E, D, F

Step-by-step explanation:

Answer:

15

15

10

Step-by-step explanation:

3/8 x £40 = £15 for Sarah

3/8 x £40 = £15 for Fiona

2/8 x£40 = £10 for david

Answer:

Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15

Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15

David gets [tex]\frac{2}{8}[/tex] × 40 = £10

Step-by-step explanation:

If £40 is shared between three person in the ratio of 3:3:2 then calculate the amount each person gets.

To find the amount each person gets we are goin to change the ratios of each person into fractions.

To turn to fraction add all portions in the ratio:

3 + 3 + 2 = 8 (this will be the denominator for all proportions.)

Therefore Sarah gets [tex]\frac{3}{8}[/tex], Fiona gets [tex]\frac{3}{8}[/tex] and David gets [tex]\frac{2}{8}[/tex].

Sarah gets [tex]\frac{3}{8}[/tex] × 40 = £15

Fiona gets [tex]\frac{3}{8}[/tex] × 40 = £15

David gets [tex]\frac{2}{8}[/tex] × 40 = £10

Answer:

81x^2 sq cm

Step-by-step explanation:

Area formula: length × width

Squares are the same size on all 4 sides, which means because 1 side is 9x cm, all other sides will also be 9x cm.

Area: 9x cm × 9x cm = 81x^2 cm^2

sq = ^2

Answer:

2/3

Step-by-step explanation:

There are 6 different letters and 4 of them are consonants, so:

4/6 simplify it by 2:

2/3

Answer:

38sq yards

Step-by-step explanation:

Separate it into parts

3x2 for the top section

8x4 for the bottom

6+32=38

I don't know what the question is but I'm pretty sure the answer is 5.5.

X = 5.5 or the price of each cake is 5.5$

Answer:

[tex]x = 51^o[/tex]

Step-by-step explanation:

Given

Intersecting lines

Required

Find x

To do this, we make use of:

[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line

Collect like terms

[tex]x + 2x = 180^o - 4^o - 23^o[/tex]

[tex]3x = 153^o[/tex]

Divide both sides by 3

[tex]x = 51^o[/tex]

Answer:

The answer is option c

Step-by-step explanation:

Product means we have to multiply

[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]

You then group like terms

[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]

And there's your answer

Answer: 12 stars

Step-by-step explanation:

First find out the number of stars he gained by scoring goals:

= Number of goals scored * Stars if goal is scored

= 5 * 3

= 15 stars

Then find out the number of stars he is to lose by missing the goal:

= No. of goals missed * stars if goal missed

= 4 * 3/4 stars

= 3 stars

The total number of stars he has are:

= Stars gained - Stars lost

= 15 - 3

= 12 stars

Answer:

Step-by-step explanation:

Answer:

gd

Step-by-step explanation:

line gd is congruent to kh

Answer:

6580 approx

Step-by-step explanation:

Given data

Population= 5000

Rate= 4%

Time = 7years

We are going to apply the compound interest formula

A=P(1+r)^t

substitute

A= 5000(1+0.04)^7

A= 5000(1.04)^7

A=5000*1.3159

A= 6579.5

Hence the population after 7 years is 6580 approx

Answer:322.64 (I think)

Step-by-step explanation:

550-227.36=322.64

Answer:

what the other person said here

Answer:

24

Step-by-step explanation:

4/5 of 30 = 4/5×30 = 24

___

Answer:

4/5 of 30 = 24

Step-by-step explanation:

4/5 x 30

4/1 x 6 = 24

Answer:

x = - [tex]\frac{3}{2}[/tex], x = 3

Step-by-step explanation:

To find the zeros let p(x) = 0 , that is

2x² - 3x - 9 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 9 = - 18 and sum = - 3

The factors are - 6 and + 3

Use these factors to split the x- term

2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)

2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term

(x - 3)(2x + 3) = 0

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

x - 3 = 0 ⇒ x = 3

Answer:

factor of 6 and 5

Step-by-step explanation: