10^2+2/10^-2+3 really need the help

Find the degree measure of each angle in the triangle.

Alex777 [14]

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°.

4 0

3 years ago

(8.18) A state representative wants to know how voters in his district feel about enacting a statewide smoking ban in all enclos

ivann1987 [24]

Answer: 770 voters in his district.

Step-by-step explanation:

Population is the largest group of individuals carrying some specific similar characteristics.
A sample is a subset of population that is used to represents the entire population.

Given : A state representative wants to know how voters in his district feel about enacting a statewide smoking ban in all enclosed public places, including bars and restaurants, as well as several other current statewide issues.

So the population here is : Voters in His districts .

He mails a questionnaire addressing these issues to an SRS (simple random sample) of 770 voters in his district. Of the 770 questionnaires mailed, 147 were returned.

Thus , the sample is : 770 voters in his district.

Basically 770 voters is a subset of the entire population voters in his district.

5 0

3 years ago

Justin is marking a border for a garden. He walks 200 feet to the east, then turns and

ELEN [110]

Answer:

d = 233.23 feet

Step-by-step explanation:

Given that,

Justin walks 200 feet to the east, then turns and walks 120 feet due south.

We need to find the total distance walked by Justin. Let the distance be d.

We can use the Pythagoras theorem to find it such that,

$d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet$

So, he walk 233.23 feet in all.

3 0

3 years ago

Daisy, the african elephant weighs 10,250 pounds. The daily feed intake for an elephant is approximately 1.5% of the animals bod

AlexFokin [52]

Answer: a) 154 kilograms

Step-by-step explanation:

Given : Daisy, the african elephant weighs 10,250 pounds.

The daily feed intake for an elephant is approximately 1.5% of the animals body weight.

1.5% can be written as 0.015.

Now, the amount of feed is to be feed to Daisy to meet her requirements will be :_

$0.015\times10250=153.75\approx154$

Hence, 154 kilograms of feed is to be feed to Daisy to meet her requirements.

4 0

3 years ago

The equation y−5=-2(x−3) is in point-slope form. Which shows this equation in slope-intercept form?

dybincka [34]

The easiest way to do this is by graphing the equation. I'll do it:

We see that the y intercept is 11.

Formula for slope-intercept: y = mx + b

mx = slope

b = y-intercept

Now we have y = mx + 11. What's mx? We can find that out from the graph.

Let's find two points: (0,11) (4,3)

Using (y2 - y1)/x2 - x1): We see that the slope is -2.

Now we finish the slope-intercept form and plug it all in:

y = -2x + 11

8 0

3 years ago