In the diagram, the measures of 22, 23 and 26 are 40°. The measure of 21
is 140°. Are lines cand d parallel?

Answer:

AB=5

Step-by-step explanation:

Triangle TAB is similar to triangle TWE. This can be proven through AA congruency. Because line AB is parallel to line segment WE, angle TAB is congruent to angle TWE (corresponding angles) and angle TEW is congruent to angle TEW(corresponding angles). Now, having proved that triangle TAB is similar to triangle TWE, we know that similar triangles have proportional sides. We can do [tex]\frac{TB}{AB} = \frac{TE}{WE}[/tex], plug in values for [tex]\frac{4}{AB} = \frac{16}{20}[/tex]  , simplify   [tex]\frac{4}{AB} = \frac{4}{5}[/tex], both fractions have a four in the numerator and must be equal to each other so AB=5.

Answer:

u know area of rectangle is length × breadth

therefore, area = (3x+4)×(7x-2)

= 21x²-6x+28x-8

= 21x²+22x-8

= d ans

Answer:

42

Step-by-step explanation:

46-4=42

Answer:

son is 14

Step-by-step explanation:

s = son's age

46 = 4 + 3s

42 = 3s

s = 14

a+b cannot be simplified any further.

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hope it helps

Answer:

a+b is at its simplest form

Answer: x > -11

Step-by-step explanation:

-5x+9<64

-5x<55

x > -11

The sign flips bc you are diving by a negative number.

Answer:

[tex]x > - 11[/tex]

Step by step explanations:

1) Subtract 9 from both sides.

[tex] - 5x < 64 - 9[/tex]

2) Simplify 64 - 9 to 55.

[tex] - 5x < 55[/tex]

3) Divide both sides by -5.

[tex]x > - \frac{55}{5} [/tex]

4) Simplify 55/5 to 11.

[tex]x > - 11[/tex]

therefor, the answer is x > - 11.

Answer:

3

Step-by-step explanation:

l*h*w=volume

8*h*2=48

16h=48

h=3

Answer:

17/6

Step-by-step explanation:

We know that,

perimeter of rectangle=2(l+b)

or,50=2(2x+x+4)

or,50=2(3x+4)

or,25=6x+8

or,17=6x

•x=17/6

Answer:  36k or 36 * k

Step-by-step explanation:

Each ticket costs $36 each and there are k tickets to b purchased.

To find the cost, you need to multiply the cost of one ticket by the total number of tickets which is k:

= 36 * k

That is the relevant equation.

For instance, assume k is 5. The cost of 5 tickets would be:

= 36 * k

= 36 * 5

= $180

Answer:

90 Minutes

Step-by-step explanation:

7020 divide by 78 = 90

Answer:

Yes, he divided correctly

Step-by-step explanation:

Given

[tex]Parts = 8[/tex]

[tex]Location = \frac{1}{8}[/tex]

Required

Was his calculation correct?

Yes, he divided the number line correctly.

Given that the number of intervals on the number line is x.

When divided into 8 parts, we have:

[tex]Location = \frac{x}{8}[/tex]

[tex]Location = \frac{1}{8}x[/tex]

This means that each point on the number line will be located at 1/8 interval between one another.

Hence, Dave is correct

Answer:

x = 20

Step-by-step explanation:

You can solve this problem using similar triangles; you know the triangles are similar due to the AAA property because of the Corresponding Angles Theorem.

To find x, you need to identify what sides 8 and x correspond to:

8 corresponds to 14 (6 + 8)

x corresponds to (x + 15)

Now, you need to find the scale factor by dividing 14 by 8:

14 ÷ 8 = 7/4

At this point, you can write and solve an equation for x:

7/4x = x + 15

3/4x = 15 (subtract x from both sides)

x = 20 (multiply both sides by 3/4)

Answer:

Step-by-step explanation:

They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)

It's a good idea to get into the habit of

using parenthses when substituting

numbers in for variables.

Since x = -4 and y = -2, 5x - y is 5(-4) - (-2).

Now, 5(-4) is -20 and minus a negative 2

can be thought of as plus a positive 2.

So we have (-20) + (+2) which equals -18.

Answer:

10.82 or [tex] \sqrt{117} [/tex]

Step-by-step explanation:

pythagorean theorem is x^2+y^2=r^2

9^2+6^2=r^2

117=r^2

r= [tex] \sqrt{117} [/tex]

Answer:

10.81665383 about 10.8 units

Step-by-step explanation:

how to find the hypotenuse is a^2 + b^2 = c^2

a = 9

b = 6

9^2 + 6^2

9 x 9 = 81

6 x 6 = 36

81 + 36 = 117

177 = c^2

find the square root of 177 = 10.81665383 about 10.8

Answer: 7458 grams

find 12% of 8,475 which is 8475*0.12=1017

this just subtract that from 8475 which is 7458

Answer:

40%

Step-by-step explanation:

15+10 = 25

25 divided by 5 = 5

100 divided by 5 = 20

10 divided by 5 = 2

2*20 = 40

40% of the mix is raisins

Answer:

D im pretty sure :) hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= y+10

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    2.5

Answer:

x=4 y=6

Step-by-step explanation:

because they passing through the line and cut

hope it helps

Answer:

625 miles in 10 hours

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

[tex]52=x^2+16\\ \\ x^2=52-16\\ \\ x^2=36\\ \\ x=\sqrt{36}\\ \\ x=6[/tex]

From the picture we see that the base is 8. The vertical line representing the length of x cuts the base into two equal parts. Knowing this fact allows us to use the Pythagorean Theorem.

(leg)^2 + (leg)^2 = (hypotenuse)^2

(4)^2 + (x)^2 = [sqrt{52}]^2

16 + x^2 = 52

x^2 = 52 - 16

x^2 = 36

sqrt{x^2} = sqrt{36}

x = -6 and x = 6.

We reject x = -6 because length is never negative.

Answer: x = 6

Answer:

Step-by-step explanation:

J(x)=b(x)

3x-2=|x+2|

3x-2=±(x+2)

when 3x-2=x+2

3x-x=2+2

2x=4

x=4/2=2

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

3x-2=-x-2

4x=-2+2=0

x=0

it is rejected as 0-2≠|0+2|

or -2=2

so x=2

Answer:

Step-by-step explanation:

(x / -5) + 7 ≥ 1

Answer:

y=2x-1

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Every 1 x the line goes across it goes up 2 so x=2.  You will also notice that the line passes through -1 on the y so y=2x-1/  BTW great graphing calculator to check lines and equations

desmos calculator