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3 years ago

In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?

Mathematics

2 answers:

Svetllana [295]3 years ago

4 0

B is the correct answer

hoa [83]3 years ago

3 0

Answer:

The correct answer is option B.

m<3 = m<6

Step-by-step explanation:

From the figure we an see that, a and b are parallel lines and line t is the traversal on the lines.

<u>To find the correct option</u>

From the given figure we get

Corresponding angles are,

<1 & <5, <2&<6, <2&<7 and <4 &<8

Alternate interior angles are,

<3 & <6 and <4 &<5

Alternate interior angles are equal.

m<3 = m<6

Therefore the correct answer is optionB

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In triangle abc, if A=120 degrees, a=8 and b=3, then angle B=

CaHeK987 [17]

The angle of B is $\angle B=19^{\circ}$

Explanation:

It is given that $\angle A=120^{\circ}$ and $a=8, b=3$

To determine the $\angle B$ , let us use the law of sine formula.

Thus, we have,

$\frac{Sin A}{a} =\frac{Sin B}{b}$

Substituting the values in the formula, we have,

$\frac{Sin 120}{8} =\frac{Sin B}{3}$

Multiplying both sides by 3,we get,

$\frac{3(0.866)}{8} ={Sin B}$

Simplifying and dividing, we get,

$0.32475=Sin B$

Multiplying both sides by $\sin ^{-1}$ , we get,

$\sin ^{-1}(0.32475)=B$

Thus, $B=18.95^{\circ}=19^{\circ}$

Hence, The angle of B is $\angle B=19^{\circ}$

6 0

3 years ago

A rectangular swimming pool is represented by x as the width and one less than twice the width as the length. If the area of the

VLD [36.1K]

Answer:

C. 28 = (2x - 1)(x)

Step-by-step explanation:

Given :

There is a rectangular swimming pool.

Width of swimming pool is x

Length is one less than twice the width

Area of the swimming pool is 28 sq ft.

To Find : Equation could be used to model the area of the swimming pool.

Solution:

Since we are given that Length is one less than twice the width.

And width is x (given)

So, length = 2x-1

Area of the swimming pool is 28 sq ft.

Now ,

Formula of area of rectangle : Length*Width

⇒28= (2x-1)(x)

So, equation used to model the area of the swimming pool: 28= (2x-1)(x)

Hence Option c is correct.

3 0

3 years ago

In the given right triangle, find the missing length to the nearest tenth.

NemiM [27]

Use pythagorean's theorem to solve for missing sides of a right triangle.

a^2 + b^2 = c^2

a = 11
b = 17
c = We don't know yet so I'll call it x

11^2 + 17^2 = c^2

121 + 289 = c^2

410 = c^2

c = √410

c = 20.2

Thus, the answer is B.

Hope this helps, and May the Force Be With You!

-Jabba

5 0

3 years ago

Plz help will make brainlyist

siniylev [52]

Answer:

A. 6

B. 143

C. The words "less than", "equal to", and "no more than"

Step-by-step explanation:

For a, we would want to first make an equation to represent the problem. It appears you've already figured that out though, so lets solve it!

Subtract 56 on both sides.

-6m=-36

Now divide -36 by -6 to isolate m.

m=6

It will take her 6 minutes.

For B, we need to make another equation.

2.95b<450-28

First, we can subtract 28 from the total, because she has already spent $28.

Now our equation is 2.95b<422

Lastly, just divide both sides by 2.95 to isolate b.

Our solution is 143. So she can buy 143 batteries.

Lastly, for 13, we can say that the words "less than", "equal to" and "no more than" can indicate an inequality in a real word problem.

Hope this helps!

3 0

3 years ago

What are the first three terms of the Arithmetic Sequence a, = 15 - 2(n - 1)?

IgorC [24]

Answer:

Step-by-step explanation:

Plug 1, 2, and 3 into n and you'll get 15, 13, and 11 respectively

4 0

3 years ago