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3 years ago

Are these triangles similar? if so, what postulate or theorem justifies that they are similar?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

7 0

Answer:

Yes The triangles are similar by SAS Similarity Theorem

Step-by-step explanation:

we know that

Side-Angle-Side Similarity, states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar

In this problem

Angle L is congruent with Angle Z

Verify if the included sides are proportional

$\frac{LJ}{ZY}=\frac{KL}{XZ}$

substitute the values

$\frac{3}{1.5}=\frac{4}{2}$

$2=2$ -----> is true

therefore

The triangles are similar by SAS

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Please help! 2x-20° x+5° x=?

strojnjashka [21]

answer=

2 • (x - 10)

x + 5 is just x + 5

7 0

2 years ago

Determine the value of n that makes the polynomial a perfect square trinomial. Then factor as the square of a binomial. Express

blsea [12.9K]

Answer:

Step-by-step explanation:

$y^2-11y+n\\=(y-(11/2))^2+n-(11/2)^2$

So in order the trinomial a perfect square we need

$n-(11/2)^2 =0\\n= (11/2)^2\\n=\frac{121}{4}$

When n is equal to this number that we have

$y^2-11y+n = (y- (11/2))^2$

6 0

2 years ago

The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed. Use the g

valentina_108 [34]

Answer:

Yes, the value 1411.8 cm³ is significantly high.

Step-by-step explanation:

Consider the provided information.

The brain volumes (cm cubed) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.

The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:

The range rule of thumb identifying significant values are as.

Significantly low values are μ-2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2-2(125.3)=860.6

Significantly high values are μ+2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2+2(125.3)=1361.8

The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.

Hence, Yes, the value 1411.8 cm³ is significantly high.

3 0

2 years ago

A department store sells t-shirts for $16.00. Every month that a t-shirt doesn’t sell, the store reduces the selling price by 25

algol13

Answer:

Step-by-step explanation:

A = 25% of 16 = $=\frac{25}{100}*8=\frac{1}{4}*8=2$

Selling price after reduction = 16 - 2 = $14

B= 25% of 14

$=\frac{25}{100}*14=\frac{1}{4}*14=\frac{7}{2}$

= 3.5

Selling price = 14 - 3.5 = $10.5

C = 25% of 10.5

$=\frac{25}{100}*10.5=\frac{10.5}{4}$

= 2.625 = $ 2.63

Selling price = 10.5 - 2.63 = $ 7.87

5 0

2 years ago

Read 2 more answers

suppose A and B are complementary angles, m a =(3x+5) and m b= (2x-15). Solve for x and then find m a and m b

vlada-n [284]

2 angles are complementary if the sum of their measures is 90°.

For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.

Thus A and B are complementary means that m(A)=m(B)=90°:

(3x+5°) + (2x-15°) =90°

5x-10°=90°

5x=100°

x=20°

Thus

m(A)=3x+5°=3* 20°+5°=60°+5°=65°

m(B)=2x-15°=2*20°-15°=40°-15°=25°

8 0

2 years ago