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4 years ago

Are the two triangles below similar?

Mathematics

2 answers:

dedylja [7]4 years ago

5 0

I think the answer is B but I'm not sure

Ahat [919]4 years ago

5 0

Answer:

A-Yes they have congruent corresponding angles

C-Yes they have proportional corresponding sides

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

The measure in the angle B is: 180° - 38° - 84° = 58° = angle E

The measure in the angle D is: 180° - 38° - 58° = 84° = angle A

So their corresponding angles are congruent .

From law of sine:

12/sin(84°) = BA/sin(38°)

[12/sin(84°)]*sin(38°) = BA

7.65 ≈ BA

12/sin(84°) = AC/sin(58°)

[12/sin(84°)]*sin(58°) = AC

10.2 ≈ AC

8/sin(58°) = EF/sin(84°)

8/sin(58°)*sin(84°) = EF

9.41 ≈ EF

The next proportion is also satisfied 12/9.41 = 7.65/6 = 10.2/8 = 1.275. Then, the corresponding sides are in proportion.

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A garden that is 24 ft by 14 ft has a walkway that is 4 ft wide around it. What is the amount of fencing needed to surround the

SCORPION-xisa [38]

The garden is 24 ft by 14 ft
The walkway stretches all the way around the garden
The walkway is 4 ft wide

Perimeter is found by adding the length of the four sides so this would be 24 + 14 + 24 + 14 = 76
24 + 24 = 48
14 + 14 = 28
48 + 28 = 76

I don't know for sure but I think the length would be 34 using the length formula
p / 2 - w
so 76 / 2 - 4
38 - 4
34

I have no clue though. A picture would make it easier

5 0

4 years ago

Which must be true in order for the relationship

disa [49]

According to the AA similarity theorem, the statement that must be true is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.

<h3>What is the AA Similarity Theorem?</h3>

The AA similarity theorem states that if two angles in one triangle is congruent to two corresponding angles in another triangle, then both triangles are similar.

For △ZYX ~ △WVU, any two pairs of corresponding angles must be congruent.

Therefore, the statement that must be true based on the AA similarity theorem is: D. ∠Z ≅ ∠W and ∠X ≅ ∠U.

Learn more about AA similarity theorem on:

brainly.com/question/21247688

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8 0

2 years ago

What is the equation, in slope-intercept form, for the line that passes through the point (2, −3) and is perpendicular to the li

diamong [38]

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

where m is the slope and b is the y-intercept

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25

6 0

3 years ago

Please HELP ASAP 31 points on

nlexa [21]

Answer:

It's way too small and I can't read it...

Step-by-step explanation:

4 0

3 years ago

Chelsea drew two parallel lines KL and MN intersected by a transversal PQ, as shown below:

Ilia_Sergeevich [38]

Answer:

The correct answer choice would be:

C (Same-Side Interior Angles Theorem)

Hope this helps! :)

5 0

3 years ago

Read 2 more answers