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3 years ago

Which pair is a pair of vertical angles?

Mathematics

1 answer:

Mariulka [41]3 years ago

8 0

Answer:

Angles that are directly across from each other

Step-by-step explanation:

Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree

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If ∠WXZ≅∠YXZ and WZ = 38, what is YZ?

hodyreva [135]

Answer:

YZ = 38

Step-by-step explanation:

Corresponding parts of congruent triangles are equal.

YZ = WZ

YZ = 38

5 0

3 years ago

Elavter of using distuburting propties a. 17×102 b. 477×1035 -477×35

V125BC [204]

Answer: a. 1734 b. 477000

Step-by-step explanation:

We know that,

Distributive property : a(b+c) = ab+ac

a. 17 x 102

= 17 (100+2)

= 17 x 100 + 17 x 2 [Distributive property ]

= 1700+34

= 1734

b. 477×1035 -477×35

= 477 (1035-35) [Distributive property ]

= 477 (1000)

= 477000

3 0

3 years ago

In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

To find the value of b,

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

4 years ago

Read 2 more answers

Jill is factoring the expression 13XY -52y. Her work is shown below

Sunny_sXe [5.5K]

Answer:13y(x-4)

Step-by-step explanation:

13xy-52y =13y(x-4)

3 0

3 years ago

A circuit starts and ends at different vertices. True False

belka [17]

Answer:

False, a circuit must end in the same spot unless it is an Eurel circuit.

Step-by-step explanation:

4 0

3 years ago