All categories

3 years ago

HELP Lines a, b, c, and d intersect as shown below.What is x

Mathematics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

x = 109°

Step-by-step explanation:

Angle x lies outside of line d, and is also positioned just on the side of line a that is opposite to the side of line a occupied by angle 109°.

Therefore, angle x and the angle measure of 109° are alternate exterior angles.

Alternate exterior angles are congruent.

x = 109°.

You might be interested in

Juan is on his school's archery team. In a match, he gets 12 arrows to shoot at a target. He gets 8 points if the arrow hits the

ElenaW [278]

B is the answer
Hope that helps

7 0

3 years ago

An isosceles triangle has exactly two sides that are equal in length (congruent). If the base (the third side) measures 46 in

alexira [117]

Answer:

36.5 Inches

Step-by-step explanation:

The perimeter of the triangle is the sum of all three(3) sides.

let the length of one congruent side be 'a', Therefore;

a + a + 46 = 119

2a = 119 - 46

a = 73/2

a = 36.5 inches.

7 0

4 years ago

Solve to find x and y in the diagram.

Kipish [7]

Considering the given information in the question, the value of x is $12^{o}$ , and that of y is $7.5^{o}$ .

A transversal is a line that cuts through two given parallel lines. Thus it intersects each parallel line at a point, forming four angles each.

From the given information in the question, it can be inferred that:

the given bottom right angle of the first intersection and the bottom right angle with the second intersection are congruent (corresponding angle property).

So that,

$(5x+4y)^{o}$ = $(12y)^{o}$

$5x^{o}$ = $12y^{o}$ - $4y^{o}$

$5x^{o}$ = $8y^{o}$ ............ 1

Also given that the top right angle at the second intersection is a right angle, then;

$12y^{o}$ + $90^{o}$ = $180^{o}$ (sum of angles on a straight line)

This implies that;

$12y^{o}$ = $180^{o}$ - $90^{o}$

$12y^{o}$ = $90^{o}$

So that,

y = $\frac{90}{12}$

y = $7.5^{o}$

Thus substituting the value of y in equation 1, we have;

$5x^{o}$ = $8y^{o}$ ........ 1

= 8(7.5)

5x = 60

x = $\frac{60}{5}$

x = $12^{o}$

Therefore, x = $12^{o}$ and y = $7.5^{o}$

For more clarification on a transversal of two parallel lines, check: brainly.com/question/1751268

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

5 0

2 years ago

I really need help! If you could

sp2606 [1]

Answer:

I'm not 100% on this but I believe it is 68° as well

I hope this is good enough:

6 0

3 years ago

Graphing (y=x+6) (y=-2x-3)

nignag [31]

Answer:

srry its black but thats how you would graph it

Step-by-step explanation:

8 0

3 years ago