Ask question

Ask question

All categories

2 years ago

8

B(3x -4) A(9x + 17) C(6x -31) solve for angle A

1 answer:

myrzilka [38]2 years ago

5 0

Answer:

Angle $A=116\°$

Step-by-step explanation:

Given:

Three angles of a triangle ABC.

$A(9x+17)\\B(3x-4)\\C(6x-31)$

Angle sum of a triangle is always = 180°

∴ $A+B+C=180\°$

Plugging in values of $A,B \ and\ C$

$(9x+17)+(3x-4)+(6x-31)=180$

Combining like terms.

$9x+3x+6x+17-4-31=180$

$18x-18=180$

Adding 18 both sides.

$18x-18+18=180+18$

$18x=198$

Dividing both sides by 18.

$\frac{18x}{18}=\frac{198}{18}$

∴ $x=11$

Angle $A=9x+17$

Plugging in value of $x$

Angle $A=9(11)+17$

Angle $A=99+17$

Angle $A=116\°$

You might be interested in

What is the slope of the line 5x + 5y = 15

Illusion [34]

Answer:

5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Find the slope of the line that passes through each pair of points.

e-lub [12.9K]

Answer:

<u>0.5</u>

Step-by-step explanation:

Slope (m) =

ΔY

ΔX

=

1

2

= 0.5

θ =

arctan( ΔY ) + 180°

ΔX

= 206.56505117708°

ΔX = 0 – 2 = -2

ΔY = 0 – 1 = -1

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = 0.5x

When x=0, y = 0

When y=0, x = -0

BRAINIEST PLEASE??

8 0

2 years ago

Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the nu

Allushta [10]

Answer:

i believe that it is a function.

Step-by-step explanation:

you do not have any of the exact same numbers with arrows ot one another.

5 0

2 years ago

Nayeli buys some packs of rubber bracelets. There are 8 bracelets in each pack

IceJOKER [234]

Answer:

Hey! Ok so the answer is 6.

Step-by-step explanation:

If 1 pack has 8 bracelets in each and she has 48 in total then you would have to divide the total to the number of bracelets in each pack so therefore 48 divided by 8 which is 6

Hoped this helped! Have an amazing day! Im Eve btw. also consider marking this brainliest thank you so much if you do!✨

6 0

2 years ago

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0

2 years ago