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°

## Related Questions

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among 147 subjects with positive test results, there are 30 false positive results; among 157 negative results, there are 4 false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.)a. The probability that a randomly selected subject tested negative or did not use marijuana is___________.
(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.

(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.

A central angle θ in a circle of radius 3 m is subtended by an arc of length 4 m. Find the measure of θ in degrees. (Round your answer to one decimal place.) θ = ° Find the measure of θ in radians. (Round your answer to two decimal places.) θ = rad

θ = 76.4°

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

76.4° = (76.4 × 2π)/360

Hope this Helps!!!

Step-by-step explanation:

Below is an attachment containing the solution.

Plot the zeos of this function: f(x) = (x-1)(x-7)​

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?

### What are functions?

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).

brainly.com/question/21145944

#SPJ5

(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 :)

angle U and angle W are vertical angles. If measurement angle u = 6x+11 and measurement angle W = 10x-9, find measurement angle U.

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.

An object is launched at 20 m/s from a height of 65 m. The equation for the height (h) in terms of time (t) is given by h(t) = -4.912 + 20t + 65. What is theobject's maximum height?

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:

BRAINLIEST AND FIVE STARS TO CORRECT ANSWER