All categories

3 years ago

In the diagram below, what is the measure of angle 1?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

8 0

Answer: 82 degrees

Step-by-step explanation:

kramer3 years ago

8 0

15 degrees is the answer to this question

You might be interested in

Dilate a triangle with vertices (0,0), (0,2) and (2,0) using the scale factor k=3. What is the value of the ratio (new to origin

seropon [69]

Answer:

Part a) The ratio of the perimeters is $3$

Part b) The ratio of the areas is $9$

Step-by-step explanation:

Part A) What is the value of the ratio (new to original) of the perimeters?

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of the new triangle

y-----> the perimeter of the original triangle

$z=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3$

Part B) What is the value of the ratio (new to original) of the areas?

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the new triangle

y-----> the area of the original triangle

$z^{2}=\frac{x}{y}$

we have

$z=3$

substitute

$\frac{x}{y}=3^{2}$

$\frac{x}{y}=9}$

3 0

3 years ago

Select the correct answer. What is the solution to |x − 6| ≥ 5? A. 1 ≤ x ≤ 11 B. -11 ≤ x ≤ 1 C. x ≥ 11 or x ≤ 1 D. x ≥ 1 or x ≤

diamong [38]

The absolute value of a number a is written as |a| . And represents the distance between a and 0 on a number line.

So, Option C. x≥ 11 or x ≤ 1 is correct answer

Inequality given is,

|x − 6| ≥ 5

Taking positive case,

x − 6 ≥ 5

x − 6 + 6 ≥ 5 + 6

x ≥ 11

Taking negative case,

x − 6 ≤ - 5

x - 6 + 6 ≤ -5 + 6

x ≤ 1

So, solution of given inequality is x ≥ 11 or x ≤ 1

Learn more:

brainly.com/question/1779337

5 0

2 years ago

Express 68.3 as a mixed number?

iragen [17]

683/100 would be the correct answer In mixed fraction

5 0

3 years ago

Read 2 more answers

On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24

Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

$T(t)=M_0+(T_0-M_0)e^{-kt}$ , where