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3 years ago

PLZ HELP 100 PTS!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

The mistake made here is in making 130 = 9x + 7. They are not the same.

The central angle = 130 degrees.

Any angle sharing the endpoints of the central angle and having it's vertex on the same side of the central angle is 1/2 the central angle.

1/2 the central angle = 130 /2 = 65

Cyclic quadrilaterals (those with all 4 points touching a circle's circumference) have opposite angles supplementary.

65 + 9x + 7 = 180 Combine like terms on the left

72 + 9x = 180 Subtract 72 from both sides

72 - 72 + 9x = 180-72 Combine

9x = 108 Divide by 9

9x/9 = 108/9

x = 12

iVinArrow [24]3 years ago

6 0

Answer:

CORRECT ans is x=12

Step-by-step explanation:

mAC=130

mAC is the central angle = 2 * inscribed angle, <ABC

2 * <ABC=130

<ABC=65

ABCD is an inscribed quadrilateral so its opposite angles are supplemental

<ABC + <ADC=180

65+9x+7=180

9x=108

x=12

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A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d

Bas_tet [7]

Answer: $(4.0845,\ 6.5755)$

Step-by-step explanation:

As per given , we have

n = 11

$\overline{x}=5.33\\\\ s=1.33$

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

$t_{\alpha/2,\ n-1}=3.106$ [using two-tailed t-value table]

Confidence interval :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)$

Hence, 99% confidence interval for the mean amount of time that students spend in the shower each day.= $(4.0845,\ 6.5755)$

7 0

3 years ago

Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with t

boyakko [2]

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = $\frac{4}{2}$

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = $\frac{6}{3}$

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = $\frac{10}{5}$

⇒x = 2

Verified

7 0

3 years ago

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

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3 years ago

Michelle purchased a kids table with a square top if the area of the square top is 400 square inches what is the length of one o

worty [1.4K]

400 in² = (20 in)²

The area of a square is the square of the side length.

The length of one of the sides is 20 inches.

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VashaNatasha [74]

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3 years ago

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