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Anettt [7]
3 years ago
8

Which pairs of angles are alternate exterior angles? Choose all answers that are correct.

Mathematics
2 answers:
Maksim231197 [3]3 years ago
6 0
A and D are the correct answers. They are on opposite sides of the transversal and are on the outside of the parallel lines.<span />
tekilochka [14]3 years ago
6 0
It would be A and H , B and G
this is because they are completely opposite each other as you can see in the diagram.<span />
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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
I need help ASAP!! Please explain how to solve the problem
a_sh-v [17]

Answer:

Surface area=114 cm^2

Step-by-step explanation:

Surface area of a cuboid is given be 2(lb+bh+lh). ATQ, l=3, h=3, b=8. Plugging them into the formula, we will get surface area=114 cm^2

3 0
3 years ago
Question 5
viva [34]
Marlee will have 21.05 inches of wire left, here is why;
115-25.75=89.25
89.25+30=119.25
119.25-38=81.25
81.25-60.2=21.05
She has 21.05 inches of wire left.
4 0
3 years ago
What is the volume of a shape that has 13h,13l and 10w
creativ13 [48]

Answer:

<em>1690</em>

Step-by-step explanation:

V = LWH

V = 13 * 10 * 13

V = 1690

8 0
3 years ago
Help me please i’ll give points !!
Keith_Richards [23]

Answer:

Slope of PV = -4

Step-by-step explanation:

Coordinates of the vertices of the given triangle PSV,

P → (2, 4)

S → (3, 4)

V → (3, 0)

Slope of the segment between two points (x_1,y_1) and (x_2,y_2) is given by,

Slope = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of segment PV will be,

Slope = \frac{4-0}{2-3}

          = -4

Slope of PV = -4

6 0
3 years ago
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