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3 years ago

What is the measure of angle 1

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

3 0

Answer:

Angle 1 is 75 degrees (c) & Angle 2 is 105 degrees (e)

Sum of 6 & 7 is 180

Step-by-step explanation:

75 degrees is directly across from angle 1, meaning they are the same. These are vertical angles.

Angle 2 & 75 degrees are supplementary angles, meaning they add up to 180 degrees.

Knowing that, we can do 180 - 75 = 105

6 & 7 are also supplementary, meaning that they are equal to 180 (a straight line).

Hope this helped. :)

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Red and white paint are mixed to make pink paint. If the amount of red paint needed is half the amount of white paint, how many

Lady_Fox [76]

Answer:

We will need about 3.3 gallons of red paint.

Step-by-step explanation:

Let

r = amount of red paint

w = amount of white paint

The amount of red paint is half the amount of white paint.

r = 1/2 w

w = 2r [1]

We need to make a total of 10 gallons. Then,

r + w = 10 [2]

Replacing [1] in [2]

r + (2r) = 10

3r = 10

r = 3.3

We will need about 3.3 gallons of red paint.

5 0

3 years ago

Name the force that is responsible for the upward movement of water in xylem tissues

GenaCL600 [577]

Answer:

Root Pressure is the answer

6 0

3 years ago

Janice examines the given triangle and estimates that

den301095 [7]

Answer:

Janice examines the given triangle and estimates that the longest side has a length of 25 units―if it is a right triangle. How does her estimate compare to the actual length? It is under by approximately 0.6 units.

Step-by-step explanation:

4 0

3 years ago

The number of peanuts in bags is normally distributed with a mean of 184.7 peanuts

ioda

Standard deviation = 3.3

The data point = 178

The mean = 184.7

<h2>Further Explanation</h2>

To calculate the Z-score of a bag containing 178 peanuts, we should use the formula to calculating a z-score.

The formula for calculating a Z-score is as follows

$z = \frac{data Point - Mean}{Standard Deviation}$

This also implies

$z = \frac{178 - 184.7}{3.3}$

$Z= -2.03$

therefore, the correct answer is -2.03

A z-score determine the number of standard deviation from the mean a data point is.

some important factors about z-score include:

if it is a positive z-score, it indicates the data point is above average
if it is a negative Z-score, it indicates the data point is below average
if the z-score is close to 0, it then means the data point is close to average
if the z-score is above 3 or below -3, it is considered to be unusual

Learn More about Z-score at:

brainly.com/question/12876715

#learnwithbrainly

8 0

3 years ago

Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

torisob [31]

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

The correct question is

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

$1\ nickel=\$0.05$

$1\ quarter=\$0.25$

we know that

Mary has 15 coins

$x+y=15$ -----> equation A

The total value of the coins is $1.75

$0.05x+0.25y=1.75$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

8 0

3 years ago