TS is an angle bisector. If m∠RTS=x+10 and m∠UTS=2x+5, find m∠RTU.

answer choices below


30°30 degrees

15°15 degrees

80°80 degrees

5°

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Work Shown:

n = number of sides = 6

i = measure of interior angle

i = 180(n-2)/n

i = 180(6-2)/6

i = 180(4)/6

i = 720/6

i = 120

Each interior angle of this regular hexagon is 120 degrees.

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Alternative Approach:

E = exterior angle

E = 360/n

E = 360/6

E = 60

Each exterior angle of this regular hexagon is 60 degrees

i+E = 180

i = 180-E

i = 180-60

i = 120

We get the same answer.

Answer:

could you explain it more

Step-by-step explanation:

Answer:

The Chine family installed 24 square yards

Step-by-step explanation:

Make an equation:

$249 prior to installing carpet

$9: per square yard, 9 can be represented as 9x because we don't know how many square yards are being installed  

$465: total spent

9x + 249 = 465

subtract 249 from 465

then divide 9 by whatever 249 - 465 equals  

Answer:

Y=8x-9

Step-by-step explanation:

The interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).

Domain of a function is the set of all the possible input values which are valid for that function. Range of a function is the set of all the possible output values which are valid for that function.

The given function is,

[tex]f(x) = x^2 + 2[/tex]

The domain of this function is all real numbers. As the quadratic function has the constant value of 2. The vertex of the function is at 0,-2. Thus, the range of this function is,

[tex]y\in R, y\geq -2[/tex]

Thus, the interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).

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Answer:

His average grade would be 91.6... (or 92% if you're rounding up)

Step-by-step explanation:

Add 100, 96, 96, 88, 70, and 100 to get 550, then divide by 6 because there are 6 total grades.

Answer:

its either quantitive data ( numerical measurements) or categorical data (cannot be expressed using numbers)

Two way frequency table: Pairs categorical values to list frequencies  

Step-by-step explanation:

For example: One hundred students were surveyed about which beverage they chose at lunch. Some of the results are shown in the two-way frrequency table below.

Lunch Bevarage

genders               Juice.           Milk.         Water.     Total

Girl :                     10                  13              17            40

Boy:                     15                  24             21            60

Total:                   25                 37             38      =    100

Answer:

7+x3

Step-by-step explanation:

Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.

5/6 yards

Step-by-step explanation:

[tex] \frac{1}{6} + \frac{4}{6} = \frac{5}{6} [/tex]

Answer:

5/6 yards of fabric

Step-by-step explanation:

4/6 yards + 1/6 yards = 5/6 yards

Answer:

Presumably when they refer to the number of zeros, they're talking about co-ordinates with a y value of zero.  In that case, the answer is C, The graph has no zeros.

Answer:

823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4 = 123.2

Balance = Principle + interest

700 + 123.2 = 823.2

Answer - 823.2

Hope this helps!!!

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

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Answer:

37.5*i

Step-by-step explanation:

4√88*√-1

4*(9.4)*i

37,7*i

Answer:

x = 9.6

Step-by-step explanation:

Answer:

crackhead

Step-by-step explanation:

he plays to much and needs exercise

Answer:

can you help me with my recent question??? pleaseeee

Answer:

The slope is 1

Step-by-step explanation:

[tex]\frac{3-0}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Answer:

Mary

Step-by-step explanation:

just do it trust me

Answer:

2,730

Step-by-step explanation:

4200 x 0.35 = 1470, 4200 - 1470 = 2730

Answer:

35% markdown of 4200 mean;

4200 - 35% of 4200

= 4300 - 1470 = 2730

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

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Answer:

the first one

Step-by-step explanation:

because the negative number is the least, and the positive is the greatest

Answer:

95% of house sizes lie between 955.7 and 1454.1 square feet.

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

In the above question,

Mean (μ)= 1204.9 square feet

Standard deviation (σ) = 124.6 square feet.

We are to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 square feet.

Step 1

We have to find the number of standard deviation from the mean

μ – xσ

1204.9 - 124.6x = 955.7

1204.9 - 955.7 = 124.6x

249.2 = 124.6x

x = 249.2/124.6

x = 2

μ + xσ

1204.9 + 124.6x = 1454.1

124.6x = 1454.1 - 1204.9

124.6x = 249.2

x = 249.2/124.6

x = 2

Therefore from the calculation above, it is 2 standard deviations from the mean, hence: from the empirical formula above,

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ

Answer:

ad

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

1. Let y represent the amount of money earned, and x the number of cars they wash. Then

y = 5x

Why? Each car wash costs $5. So no car washes means no earnings; 1 car wash earns $5; 2 washes earn $10; 3 washes earn $15, and so on, so that x car washes generate $5x.

2. No matter how many cars they end up washing, they will have spent $75 to set up the operation, so you subtract 75 from the equation is part (1).

3. Taking into account the setup cost of $75, the profit they make is given by

y = 5x - 75

4. When x = 0, meaning no cars get washed, the profit is -$75, meaning the team loses $75.

5. Set the profit function equal to 0 and solve for x :

5x - 75 = 0

5x = 75

x = 75/5

x = 15

So the team has to wash at least 15 cars to break even.

Answer:

The setup cost is $75. To account for the setup cost, you need to subtract 75 from the right side of the equation obtained in part A.

Step-by-step explanation: