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3 years ago

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

Mathematics

1 answer:

Misha Larkins [42]3 years ago

7 0

Question:

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.

A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent.

C.Each pair of supplementary angles is congruent.

D.Each pair of alternate interior angles is congruent.

Answer:

The following statements are true

A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent

D.Each pair of alternate interior angles is congruent.

Step-by-step explanation:

When straight lines intersect, vertical angles appear.

Vertical angles are ALWAYS equal in measure,

whether the lines are parallel or not.They share the same Vertex

Two angles, one in the interior and one in the exterior, that are on the same side of the traversal are Known as Corresponding angles. Corresponding angles are non-adjacent and congruent.

Alternate interior angles are two angles in the interior of the parallel lines, and on opposite (alternate) sides of the transversal. Alternate interior angles are non-adjacent and congruent.

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This table contains equivalent ratics between x and y.

nikitadnepr [17]

Answer:

x y

2 8

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Step-by-step explanation:

5 x 12 = 60

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3 years ago

LOMMON COREATHEMATICS CURRICULUM

Gelneren [198K]

Answer:

The total length of string needed for 17 identical decorative bottles is 35.70 meters

Step-by-step explanation:

Let us solve the question

∵ String A is 35 centimeters long

∵ String B is 5 times as long as String A

→ Multiply the length of A by 5 to get the length of B

∴ The length of string B = 35 × 5 = 175 cm

∵ Both are necessary to create a decorative bottle

∴ The length needed for 1 bottle = 35 + 175 = 210 cm

∴ Each bottle needs 210 cm to be decorated

∵ There are 17 identical bottles

→ Multiply the length needed for 1 bottle by 17

∴ The total length needed = 17 × 210 = 3570 cm

∴ The total length needed to decorate 17 bottles is 3570 cm

∵ 1 meter = 100 centimeter

→ Divide the total length by 100 to express it in meters

∴ 3570 cm ÷ 100 = 35.70 m

The total length of string needed for 17 identical decorative bottles is 35.70 meters

7 0

3 years ago

Examine the diagram and information to answer the question. Rectangle EFGH has vertices at E(7,7), F(1,5), G(2,2), and H(8,4). H

schepotkina [342]

Answer:

Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)

Step-by-step explanation:

First we find the distance of the length and width of the rectangle.

Distance between E and F = Distance EF

Distance EF = √(∆y²-∆x²)

= √[(5-7)² + (1-7)²] = √[(-2)² + (-6)²]

= √(4+36) = √40

Distance EF = 2√10

Distance between F and G = Distance FG

Distance FG = √(∆y²-∆x²)

= √[(2-5)² + (2-1)²] = √[(-3)² + (1)²]

= √(9+1) = √10

Distance FG = √10

Length= distance EF = distance HG

And width = distance FG = distance EH

Perimeter of rectangle = 2(length + width)

Perimeter of rectangle = 2(2√10 + √10)

= 2(3√10)

Perimeter of rectangle = 6√10 units (the attachment isnt clear. It seems the answer is in option B)

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4 years ago

Simplify -2(4f+6)+3(4f-6)

hoa [83]

It will be 4f-30. Using substitution, you get (-8f-12) + (12f-18). Adding this together you get -8f-12+12f-18. Then you add -8f and 12f to get 4f, and add -12 and -18 to get -30.

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3 years ago

Find the slope of the line that passes through the points (3,6) and (5, 3). -3/2 3/2 2/3

Natalija [7]

Answer:

-3/2.

Step-by-step explanation:

To find the slope, we find the rise over run.

In this case, the rise is 6 - 3 = 3.

The run is 3 - 5 = -2.

The slope is 3 / (-2) = -3/2.

Hope this helps!

7 0

3 years ago

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