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3 years ago

In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

Mathematics

1 answer:

RUDIKE [14]3 years ago

3 0

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

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The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what

patriot [66]

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

8 0

2 years ago

The results of the first 100 students who voted are represented in the table. There are still 50 more students left to vote. Bas

Volgvan

Answer:

1-50

Step-by-step explanation:

5 0

3 years ago

Suppose a kite has two congruent angles of 100°. Of the remaining angles, one is four times larger than the other. What is the m

Pani-rosa [81]

Answer:

The measure of the largest angle in the kite is 128 degrees

Step-by-step explanation:

we know that

The sum of the interior angles in any quadrilateral must be equal to 360 degrees

A kite is a quadrilateral

Let

A,B,C and D the measure of the interior angles

$A+B+C+D=360^o$

we have that

$A=B=100^o$

substitute

$100^o+100^o+C+D=360^o$

$C+D=160^o$ ----> equation A

Remember that

one is four times larger than the other

$C=4D$ ----> equation B

substitute equation B in equation A

$4D+D=160$

solve for D

$5D=160\\D=32^o$

Find the measure of angle C

$C=4(32)=128^o$

therefore

The measure of the largest angle in the kite is 128 degrees

5 0

3 years ago

Find the measures of the indicated angles pictures included!!!

vazorg [7]

Answer:

Step-by-step explanation:

The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.

3 0

3 years ago

Find ‘x’ in:- <br> x:6 :: 5 : 11

melomori [17]

Answer:

x = 6*5/11=30/11

7 0

2 years ago