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4 years ago

Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR?

Mathematics

2 answers:

zhenek [66]4 years ago

8 0

B) m∠C = m∠F
Because now m∠B = m∠E because of the 180 total rule, and if all 3 ∠s are = then they are similar

Anit [1.1K]4 years ago

8 0

Answer: B) m∠C = m∠F

Step-by-step explanation:

Given: In triangles ΔABC and Δ DEF

m∠A = m∠D

To prove both the triangles are similar, we need at-least one one information which is given in option B.

If m∠C = m∠F , then AA similarity criteria , ΔABC and Δ DEF are similar.

If we choose A) then it will not follow SAS criteria of similarity because ∠A and ∠D are not included angles of AB, CB and DE, FE respectively.

SAS similarity criteria for similar triangles says that if two sides of a triangle are proportional to two sides of another triangle and their included angles are equal, then the triangles are said to be similar.

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You use 6 gallons of water on 20 plants in your garden. At that rate, how much water will it take to water 30 plants?

arsen [322]

9 gallons.
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3 years ago

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample m

Georgia [21]

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46

- The sample mean after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

Cohen's d = $\frac{u2 - u1}{sd_p_o_o_l_e_d}$

- Where, the pooled standard deviation (sd_pooled) is calculated using the formula:

$sd_p_o_o_l_e_d =\sqrt{\frac{SD_1^2 +SD_2^2}{2} }$

- Assuming that population standard deviation and sample standard deviation are same:

SD_1 = SD_2 = σ = 4

- Then,

$sd_p_o_o_l_e_d =\sqrt{\frac{4^2 +4^2}{2} } = 4$

- The cohen's d can now be evaliated:

Cohen's d = $\frac{48 - 46}{4} = 0.5$

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3 years ago

Elizabeth has 8 ounces of chopped vegetables in a mixing bowl. She needs to have a minimum of 50 ounces for a party-sized salad

Lorico [155]

Answer:

the inequality is 50 = 3x -8 because Elizabeth needs 50 ounces but she already has 8 ounces, so you would have to subtract 8 from 50 first. Then to would have to see how many times 3 can fit in the difference

Visual explanation

50 = 3x - 8

take 8 from both sides

42 = 3x

divide 3 from both sides

14 = x

She needs at least 14 cups of chopped vegetables

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3 years ago

What is the total cost of a sweatshirt if the regular price is $55 and the salses tax is 5.5% round to the nearest cent

garik1379 [7]

Answer:

I believe it is $65

Step-by-step explanation:

$55/5.5

Divide the $55 by 5.5 and you get $10, then add it to your original $55, that makes $65, right?

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3 years ago

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3 years ago