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3 years ago

Angle measures and segment lengths. Algebra Find the value of each variable.

Mathematics

1 answer:

dolphi86 [110]3 years ago

8 0

Answer:

x = 60°

Step-by-step explanation:

According to the Outside Angles Theorem, the angle formed by the two tangents in the diagram above is equal to half of the difference of the measures of two arcs that are intercepted.

Therefore:

$x = \frac{1}{2}(360 - 120) - 120)$

$x = \frac{1}{2}(240 - 120)$

$x = \frac{1}{2}(120)$

x = 60°

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PEOPLE WHO ARE GOOD AT MATH CAN YOU PLEASE HELP ME!!!

OlgaM077 [116]

The cost of using 19 HCF of water is $32.49

Given in the question:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

The cost for using 17 HCF of water is using $32.13

and, the cost of using 35 HCF is $61.83.

To find the cost of using 19 HCF of water.

Now, According to the question:

The cost for using 17 HCF of water is $32.13

and, the cost of using 35 HCF is $61.83.

To find the slope:

(17, 32.13) and (35, 61.83)

Slope = (61.83 - 32.13)/ (35 - 17) = 1.65

We know that:

Formula of slope :

y = mx + b

32.13 = 1.65 x 17 + b

b = 1.14

The equation will be :

C(x) = 1.65x + 1.14

Now, To find the cost of using 19 HCF of water.

C(19) = 1.65 × 19 + 1.14

C(19) = $32.49

Hence, the cost of using 19 HCF of water is $32.49.

Learn more about Slopes at:

brainly.com/question/3605446

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6 0

1 year ago

A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed tha

Genrish500 [490]

Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

The null hypothesis is:

$H_o : p = 10$

The alternative hypothesis is:

$H_1 : p > 10$

If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

i.e Decision Rule: fails to reject the null hypothesis

Then the interpretation of the decision is that, there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

8 0

3 years ago

Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2^x. She makes these

GalinKa [24]

General Idea:

Domain is the values of x which gives a defined output to the function, and Range is the values of y that we get by substituting domain values of x. For the function f(x) = a^x, where a > 0, the domain will be all real numbers and range will be all values greater than 0. That is the graph will be very close to x-axis but will never touch it.

Applying the concept:

From the attached table, we can notice that as x increases infinitely, the y-values are continually doubled for each single increase in x and as x decreases infinitely, the y-values are continually halved for each single decrease in x.

Option 1: "Statement 1 is incorrect because the y-values are increased by 2, not doubled".

Option 1 is INCORRECT because Statement 1 is TRUE & CORRECT.

Option 2: "Statement 2 is incorrect because the y-values are doubled, not halved".

Option 2 is INCORRECT because Statement 2 is TRUE & CORRECT.

Option 3: "The conclusion is incorrect because the range is limited to the set of the integers"

Option 3 is INCORRECT because, the range will be always greater than 0, because irrespective of how many times y is halved for each single decrease in x, the y will still be a positive fraction and won't be a negative.

Option 4: "The conclusion is incorrect because the range is limited to the set of positive real numbers"

Option 4 is CORRECT because y value will be positive irrespective of whatever x we substitute in the function.

8 0

3 years ago

Read 2 more answers

Aunt bess uses 3 cups of oatmeal to bake 6 dozen cookies how many cups of oatmeal will she need to bake 18 dozen cookies

Andrei [34K]

There are several important information's already given in the question. Based on those information's the answer to the question can be easily deduced.
Number of cups of Oatmeal
required by Aunt Bess for making 6 dozen cookies = 3
Then
Number of cups of oatmeal
required by Aunt Bess for making 1 dozen cookies = (3/6)
= 1/2
So
Number of cups of oatmeal
required by Aunt Bess for making 18 dozen cookies = (1/2) * 18
= 9 cups
So Aunt Bess will require 9 cups of oatmeal for baking 18 dozen cookies. I hope the procedure is clear enough for you to undestand.

4 0

4 years ago

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned i

olganol [36]

Answer:

Point C at (-18/7)

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴ $\frac{AC}{CB} =\frac{3}{4} = \frac{x}{8-x}$

Using cross multiplication

3 (8-x) = 4x

24 - 3x = 4x

24 = 7x

x = 24/7

So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

7 0

3 years ago

Read 2 more answers