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2 years ago

Find the degree measure of each angle in the triangle.

Mathematics

1 answer:

Alex777 [14]2 years ago

4 0

Answer:

∠R = 56°
∠Q = 90°
∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(2x + 38)°
(5x - 11)°

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (2x + 38)° + (5x - 11)° = 180°

$\longrightarrow$ 117° + 7x = 180°

$\longrightarrow$ 7x = 180° - 117°

$\longrightarrow$ 7x = 63°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 2(9) + 38

$\longrightarrow$ 56°

$\longrightarrow$ 5(9) - 11

$\longrightarrow$ 34°

∠R = 56°
∠Q = 90°
∠S = 34°

The angles are 56°, 90° and 34°.

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g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic condition

SOVA2 [1]

Answer:

We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%

Step-by-step explanation:

From the question we are told that

The sample proportion is $\r p = 43\% = 0.43$

The standard error is $SE = 0.017$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100-95)\%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * SE$

=> $E = 1.96 * 0.017$

=> $E = 0.03332$

Generally 95% confidence interval is mathematically represented as

$\r p -E < p < \r p +E$

=> $0.43 -0.03332 < p < 0.43 + 0.03332$

=> $0.39668 < p < 0.46332$

Converting to percentage

$(0.39668 * 100)< p < (0.46332*100)$

$39.7\% < p < 46.33 \%$

7 0

3 years ago

What are the intercepts for x and y ? thanks in advance

SpyIntel [72]

Answer:

see explanation

Step-by-step explanation:

The x- intercept is the value of x where the line crosses the x- axis.

The x- intercept is (0.3, 0)

The y- intercept is the value of y where the line crosses the y- axis

The y- intercept is (0, 0.4)

3 0

2 years ago

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-inte

GalinKa [24]

Y=2/9x+9

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5 0

3 years ago

Skill Sum

Nataly_w [17]

Answer:

I don't know

Step-by-step explanation:

I don't know

3 0

3 years ago

ANYONE...........help

KATRIN_1 [288]

Answer:

1 cm

Step-by-step explanation:

Sides of the picture added margin:

l = 8 + 2x
w = 5 + 2x

A(margin) = 30 cm²

Solution:

A(margin) = Total area - A(picture)
(8 + 2x)(5 + 2x) - 5*8 = 30
4x² + 10x + 16x + 40 - 40 - 30 = 0
4x² + 26x - 30 = 0
2x² + 13x - 15 = 0
x = (-13 + √(13² + 2*4*15))/4
x = (-13 + 17)/4
x = 1 cm

Note. The other root is ignored as negative.

3 0

3 years ago