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Solnce55 [7]
2 years ago
8

Please help!!!! 2 questions 50 points!!!!

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
7 0

Answer:

See below ~

Step-by-step explanation:

<u>Question 1</u>

<u>The missing angles</u>

  • Both the unknown angles have the same value as the other two angles in the triangles are the same
  • ∠(missing) = 180 - (72 x 2)
  • ∠(missing) = 180 - 144
  • ∠(missing) = 36°

⇒ The sides are <u>equal</u>

⇒ Angles are <u>not 90°</u>

⇒ It is a <u>rhombus</u>

<u></u>

<u>Question 2</u>

  • The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
  • NY = NW (given)
  • XN = NZ (given)
  • ∠XNY = ∠WXZ (vertically opposite angles)
  • ΔXNY ≅ ΔWXZ (SAS)
  • They form <u>two congruent triangles</u> (Statement 2)
  • From these two statements, it is evident the figure is a <u>parallelogram</u>
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Answer:

A

Step-by-step explanation:

3 cups of flour produces 2 batches of dinner rolls. So, if one batch makes 15 rolls, then 2 batches makes 30 rolls. Therefore, 3 cups of flour produces 30 rolls.

Laura wants to find how much flour she needs to make 12 rolls.

Here's the setup:

Let x be the number of cups of flour needed. Then,

(3 cups of flour)/(30 rolls)=(x cups of flour)/(12 rolls)

This is the set up for all equations involving ratios. The units should be consistent. Notice how I have flour/rolls=flour/rolls.

It is not necessary to solve the equation, but you should to make sure your answer makes sense. By cross-multiplying, we get x=(3*12)/30 or 1.2 cups.

This solution makes sense. Because 3 cups of flour produces 30 rolls, one cup produces 10 rolls. We need slightly more than 1 cup to get 12 rolls.

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2 years ago
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4/6 is equivalent to what fraction?
rusak2 [61]
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Slope -2/3 .x-intercept at 3 written in y=mx+b
siniylev [52]
Given the slope, m = -2/3, and the x-intercept, (3,0):

Use these values and plug into the slope-intercept form to solve for the y-intercept, b:

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3 years ago
Determine the number of degrees of freedom for the two-sample t test or CI in each of the following situations. (Round your answ
gulaghasi [49]

Answer:

Part a ) The degrees of freedom for the given two sample non-pooled t test is 24

Part b ) The degrees of freedom for the given two sample non-pooled t test is 30

Part c ) The degrees of freedom for the given two sample non-pooled t test is 30

Part d ) The degrees of freedom for the given two sample non-pooled t test is 25

Step-by-step explanation:

Degrees of freedom for a non-pooled two sample t-test is given by;

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Now given the information;

a) :- m = 12, n = 15, s₁ = 4.0, s₂ = 6.0

we substitute

Δf =  {[ 4²/12 + 6²/15 ]²} / {[( 4²/12)²/12-1] + [(6²/15)²/15-1]}

Δf  = 30184 / 1241

Δf  = 24.3223 ≈ 24 (down to the nearest whole number)

b) :- m = 12, n = 21, s₁ = 4.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 4²/12 + 6²/21 ]²} / {[( 4²/12)²/12-1] + [(6²/21)²/21-1]}

Δf = 56320 / 1871

Δf = 30.1015 ≈ 30 (down to the nearest whole number)

c) :- m = 12, n = 21, s₁ = 3.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 3²/12 + 6²/21 ]²} / {[( 3²/12)²/12-1] + [(6²/21)²/21-1]}

Δf = 29095 / 949

Δf = 30.6585 ≈ 30 (down to the nearest whole number)

d) :- m = 10, n = 24, s₁ = 4.0, s₂ = 6.0

we substitute using same formula

Δf = {[ s₁²/m + s₂²/n ]²} / {[( s₁²/m)²/m-1] + [(s₂²/n)²/n-1]}

Δf = {[ 4²/10 + 6²/24 ]²} / {[( 4²/10)²/10-1] + [(6²/24)²/24-1]}

Δf = 1044 / 41  

Δf = 25.4634 ≈ 25 (down to the nearest whole number).

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3 years ago
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Thepotemich [5.8K]
The given final course grade, 88%, is the average of Frank's four quarter grades. The average is the sum of all grades divided among the four quarters. Let x be the average,
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The value of x is equal to 86.9. Thus, the answer is letter C. 87%.

4 0
3 years ago
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