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3 years ago

Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?

Mathematics

1 answer:

m_a_m_a [10]3 years ago

5 0

Answer:

SAS Theorem

Step-by-step explanation:

It would be the SAS theorem because you know 2 sides that have an angle in common on both triangles.

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Help with word problems and inequalities?

jeyben [28]

Answer:

what is your question

Step-by-step explanation:

8 0

4 years ago

The fencing of the left border costs $4 per foot, while the fencing of the lower border costs $1 per foot. (no fencing is requir

lord [1]

Answer 
Left border = 8 feet
Lower border =32 feet
Area=128 〖ft〗^2

Explanation 
The area is a right triangle.
Let us take the left border to be y feet and the lower border to be x feet
Area=1/2 yx
The cost of fencing would be 4y+x=64.
From this expression x=64-4y
Substituting this value of x in the area we have;
Area=1/2 y(64-4y)
A=32y-2y^2
To get the maximum area of the triangle the first derivative of the area would te equal to zero.
A=32y-2y^2
dA/dy=32-4y=0
4y=32
y=8
Since x=64-4y
x=64-(4×8)=32
The dimensions of the garden are 8 feet by 32 feet.
Since the garden is a right triangle,
Area=1/2×8×32
Area=128 〖ft〗^2

3 0

3 years ago

Mrs. Kim is teaching a 5th grade class. She is standing 48 feet in front of Lester. Carey is sitting to Lester's right. If Carey

victus00 [196]

Lester and Carey are 14 feet apart

Step-by-step explanation:

Mrs. Kim is teaching a 5th grade class

She is standing 48 feet in front of Lester
Carey is sitting to Lester's right
Carey and Mrs. Kim are 50 feet apart

We need to find how far apart Lester and Carey

Look to the attached figure

The positions of Mrs. Kim, Lester, and Carey formed a right triangle

∵ The distance between Mrs. Kim and Carey is 50 feet

∴ The length of the hypotenuse of the Δ = 50 feet

∵ The distance between Mrs. Kim and Lester is 48 feet

∴ The length of one leg of the Δ = 48 feet

The formula of length of the sides of the right Δ is:

$(hypotenuse)^{2}=(leg_{1})^{2}+(leg_{2})^{2}$

Substitute the length of the hypotenuse and the length of the given leg in the formula above

∵ (50)² = (48)² + (leg)²

∴ 2500 = 2304 + (leg)²

- Subtract 2304 from both sides

∴ 196 = (leg)²

- Take square for both sides

∴ 14 = leg

∵ This leg represents the distance between Lester and Carey

∴ The distance between Lester and Carey = 14 feet

Lester and Carey are 14 feet apart

Learn more:

You can learn more about the right triangle in brainly.com/question/1238144

#LearnwithBrainly

8 0

3 years ago

Solve the inequality. -5-x/3<4

lora16 [44]

Hey there! :)

(-5 - x)/(3) < 4

Start out by multiplying both sides by 3. This is to get rid of any fractions we have!

3 • (-5 - x)/(3) < 4 • 3

Simplify!

-5 -x < 12

Add 5 to both sides so that we can isolate our variable.

-5 - x + 5 < 12 + 5

Simplify!

-x < 17

Divide both sides by -1.

Keep in mind that when dividing by a negative number, you must change the sign of the “crocodile mouth.” So, < turns into >.

-1 / -x > 17 / -1

Simplify.

x > -17

Hope this helped! :)

6 0

3 years ago

Read 2 more answers

triangle M is similar to triangle N . Triangle M has 2 angles with measures of 32 degrees and 93 degrees . Which 2 angles could

Llana [10]

From the wording of the question ... especially the word "which" ...
I understand that the question includes some answer choices, which
you decided not to share with us.

OK. So be it. Here are all the pairs of angles that could be included
in triangle-N:

-- 32°, 93°
-- 32°, 55°
-- 93°, 55°

6 0

3 years ago

Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?​

Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?