Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.

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Answer:

D.   150°

Step-by-step explanation:

∠X and ∠W are supplementary

Let a = m∠X

Then 5a = m∠W

m∠X + m∠W = 180

a + 5a = 180

6a = 180

a = 30

m∠W = 5a = 5(30) = 150°

Answer:

17y

Step-by-step explanation:

Answer:

206 miles more

Step-by-step explanation:

Divide 2240 and 28 and you get 280 then divide 2368 and 32 and subtract 280- 74

60+90=180

=150

180-150

= -30

brainyest pls

The distance of the jungle gym to swing is 120 feet.

We have given that the diagram

we have to find the distance between jungle gym and swings is,

suppose that x is shorter length then the hypotenuse is 2x and  [tex]x\sqrt{3}[/tex]

is the longer length

By using the Pythagoras formula we have

The length of CA is,

[tex]CA=60(2)=120[/tex]

Therefore the distance of the jungle gym to swing is 120 feet.

To learn more about the right angle triangle visit:

https://brainly.com/question/343682

Answer:

By using pythagoras theorem the problem can be solved;

(hypotenuse)^2=(pythagoras)^2+(base)^2

h^2=(20 mi)^2+(40 mi)^2

h^2=(400+1600) mi^2

h^2=2000 mi^2

h=√2000 mi^2

h=20√5 mi

Answer:

C

Step-by-step explanation:

we should set the equations based on what we know using y=mx+b

in the first set, we have m=5 and the +b as 100. This gives y=5x+100

in the second, we  m=20  and the +b of 10. This gives y=20x+10

I belive C would match this. Hope this helps!

Answer:

y=10x+20

y=5x+100

Step-by-step explanation:

Answer:

Part A)  2(n/6) - 9

Part B)  the expression would change to 2(n/6) + 9 if  it said 'more than'

Step-by-step explanation:

Answer:

x ≈ 12.22

Step-by-step explanation:

SOH CAH TOA(Tangent = opposite side/adjacent side)

tan (48°) = x/11

=> x = tan (48°) × 11

=> x ≈ 12.22

Answer and Step-by-step explanation:

Anything that is to the power of 0 is equal to 1. This is why 2 to the power of 0 is equal to 0.

0 is the only number such that for any number x, x + 0 = x. So, the reason that any number to the zero power is one is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

multiply by 2^x

[tex]2^0 \times 2^x=2^{0+x}=2^x\\[/tex]

when you multiply any number by 1 ,you get the same number.

here when you multiply 2^x by 2^0 ,you get 2^x

Hence 2^0=1

Answer:

Step-by-step explanation:

p and q vary inversely:

If p = 26, q = 9, find k:

The equation is:

When p = 18, q is:

Answer:8.7

Step-by-step explanation:

Using proportions, it is found that:

A proportion is a fraction of a total amount.

In this problem, the markup is of 40% over an amount of $1000, hence:

0.4 x $1000 = $400.

Considering the markup, 100 bracelets will be sold for $1,400, hence, the price of each bracelet will be given by:

$1,400/100 = $14.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

About 23%

Step-by-step explanation:

Do 23% × 13, and it show about 3 as the answer.

Answer:

2/13

Explanation:

The bag has 6 red, 3 green, 4 blue.

Total marbles = 13

Probability of getting blue the first time would be 4/13 because 4 of the 13 total marbles are blue

Because you're not putting back the first marble, the total would go down to 12, so the probability of getting red the second time would be 6/12 or 1/2

The probability that the first marble is blue and the second marble is red = (4/13)(6/12) = 2/13

Answer:

Four minus the product of one and a number x is 4−(1×x) .

Step-by-step explanation:

Given : Expression 'Four minus the product of one and a number x'.

To find : Write the expression in algebraic form ?

Solution :

Writing the expression as,

The product of one and a number x is written as 1×x .

Four minus the product of one and a number x is written as 4− (1×x)

Re-write the expression in simplest form is 4−x .

Therefore, Four minus the product of one and a number x is 4−(1×x) .

Answer:

144

Step-by-step explanation:

I will  explain later kinda busy

6x4x12=288

288/2 (because it is a triangle and triangles are half of squares)

Answer:

the third one

Step-by-step explanation:

3

Answer:

The third one

Step-by-step explanation:

3

Answer:

-14m -9m2 -9

Step-by-step explanation:

-6m -m -7m -3m2 -6m2 -9

Answer:

$21.8

Step-by-step explanation:

Carlos is buying a shirt that costs $20 the sales tax is 9% what is the total

Given data

Cost= $20

Tax= 9%

Amount of tax=

9/100*20

0.09*20

1.8

Total amount

=1.8+20

=$21.8

Answer:

B

Step-by-step explanation:

Combine Like terms

Answer:

The answer is letter B

Step-by-step explanation

Simply combine like terms in which

-2x^2 + 7x^2 = 5x^2

8x + 4x = 12x

-9 + 2 = 7

So we come up with the answer of the option letter B

Answer:

30 is the multiple of 10.

Answer:

30

Step-by-step explanation:

Multiples of 10 would include:

10

20

30

40

50

and so on...

Answer:

D. HFE is congruent to FHG

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Congruency.

Since here the congruency satisfied is SAS (side-angle-side)

hence the correct option is

D.) ∆HFE =~ ∆FHG

Answer:

1                    

------

x24

hope it helps have a great day bye

Step-by-step explanation:

Answer: 9 L

Step-by-step explanation:

Given

The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]

It is filled with [tex]\frac{3}{5}[/tex] of the height

Water present in the container

[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]

Also, [tex]1\ L=1000\ cm^3[/tex]

[tex]\therefore 18,000\ cm^3=18\ L[/tex]

Now, half of the water is poured out

So, half is left

[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]

Thus, 9 L of water is left in the container

Answer:

1 ton=2,000 pounds so 6,700 pounds

Step-by-step explanation: