Answer:

**Answer:**

x = 115° , y = 140° , z = 40°

**Step-by-step explanation:**

40° , x and 25° lie on a straight line and sum to 180° , that is

x + 40° + 25° = 180°

x + 65° = 180° ( subtract 65° from both sides )

x = 115°

z and 40° are vertically opposite angles and are congruent , then

z = 40°

y and z lie on a straight line and sum to 180° , that is

y + 40° = 180° ( subtract 40° from both sides )

y = 140°

Whart is 1 divided by 1/2

Is -2/3 a rational, irrational, whole, natural, or integer number?(ik its a integer. you can also choose more then one)

Toy company produces rubber balls that have a radius of 1.7 cm.A sphere has a radius of 1.7 centimeters.What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter.

Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM

suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. How far would the top of the ladder move down the wall by pulling out the bottom of the ladder by 5 feet?

Is -2/3 a rational, irrational, whole, natural, or integer number?(ik its a integer. you can also choose more then one)

Toy company produces rubber balls that have a radius of 1.7 cm.A sphere has a radius of 1.7 centimeters.What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter.

Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM

suppose a ladder 20 feet long is placed against a vertical wall 20 feet high. How far would the top of the ladder move down the wall by pulling out the bottom of the ladder by 5 feet?

(Do not round until the final answer. Then round to three decimal places as? needed.)

b. How many subjects were included in the study?

The total number of subjects in the study was___.

c. How many subjects did not use marijuana?

A total of ___subjects did not use marijuana.

**Answer:**

(a)0.615

(b)304

(c)183

**Step-by-step explanation:**

Among 147 subjects with positive test results, there are 30 false positive (actually negative) results;

Among 157 negative results, there are 4 false-negative (actual positive) results.

The table below summarises the given data.

(a)The probability that a randomly selected subject tested negative or did not use marijuana

P(negative or did not use marijuana)

=P(negative)+P(did not use marijuana)-P(both)

(b)There were a total of 304 subjects in the study.

(c)A total of 183 subjects did not use marijuana.

Answer:

θ = 76.4°

θ = 1.33 radians

Step-by-step explanation:

Length of an arc is given as

L = (θ/360) × 2πr

L = 4 m

θ = angle subtended at the centre of the circle by the arc in degrees = ?

r = radius of the circle = 3 m

4 = (θ/360) × 2π(3)

θ = (4×360)/6π

θ = 76.4°

L = θ r

where θ = angle subtended at the centre of the circle by the arc in radians

4 = θ × 3

θ = (4/3) = 1.33 radians

OR we could do a direct conversion

360° = 2π radians

76.4° = (76.4 × 2π)/360

θ = (4/3) radians = 1.33 radians

Hope this Helps!!!

Step-by-step explanation:

Below is an attachment containing the solution.

**Zeros **of the given **function **f(x) = (x-1)(x-7) is (1, 0) and (7, 0).

Given **function **f(x) = (x - 1)(x - 7). **Zeros **of the function to be determined?

**Functions **are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the **independent **variable while Y is the **dependent **variable.

f(x) = (x - 1)(x - 7)

for finding **zero **we must equal the function to zero.

f(x) = 0

(x - 1)(x - 7) = 0

Here equal to zero implies one of the parenthesis must be zero,

x - 1 = 0 or x - 7 =

x = 1 or x = 7

It shows x must be 1 or 7 so the function gives zero, i.e. **coordinates **(1, 0) and (7, 0) are zeros of the **function **f(x) = (x - 1)(x - 7).

Thus, **zeros **of the given **function **f(x) = (x-1)(x-7) is (1, 0) and (7, 0).

Learn more about **function **here:

**#SPJ5**

Answer:

(1,0) (7,0) so it’s 1 and 7

Step-by-step explanation:

You need to find the values of x that make the output equal to zero.

In a function like this, simple take the inverse of the number in each parentheses. For example if the number is -5, the zero is 5. And if it’s 5, the zero is -5.

This only works if the coefficient of x is 1.

Please mark as brainliest if you’re satisfied :)

The measure of angle U will be equal to the measure of angle W.

Because W is pronounced "double u", W = 2 * U.

Therefore U = W and U = 2 * W, so both U and W = 0.

Just kidding.

The correct answer is the smallest prime number greater than 40.

**Answer:**

The maximum height is the y-value of the vertex.

h(t) = -4.9t² + 20t + 65

a=-4.9 b=20 c=65

h(2) = -4.9(2)² + 20(2) + 65

= -19.6 + 40 + 65

= 85.4

**Step-by-step explanation:**

Note that the first function is f(x) = 4 for x less than 2 and for the second function f(x) = -1 for x greater than or equal to 2

So the limit as x approaches two from the left is 4 and the limit as x approaches 2 from the right is -1.

so looks like you would need the third choice: 4; -1

So the limit as x approaches two from the left is 4 and the limit as x approaches 2 from the right is -1.

so looks like you would need the third choice: 4; -1