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2 years ago

Find the measures of 21 and 22 80° 2102°

Mathematics

1 answer:

cestrela7 [59]2 years ago

4 0

Answer:

Angle 1 is 22°

Angle 2 is 78°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

To find Angle 2, you would have to do 180° take away 102°.

180-102=78°

Angles in a triangle also add up to 180°.

So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.

80+78=158°

180-158=22°

Hope this helps :)

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A pet store holds training classes for dogs. The store has two different training programs. The first program charges a $35 memb

GrogVix [38]

The programs cost the same for 7 classes.

Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.

The first program charges $35 membership fee and $5 for each class.

The second program charges only $10 for each class.

Now the total cost say $t_{1}$ , for first program can be written in equation form as,

$t_{1} =35+5c$ , here c is the no. of classes.

Similarly, the total cost say $t_{2}$ , for second program can be written in equation form as,

$t_{2} =10c$ .

We have to find out the no. of classes for which the two programs cost the same.

according to the question,

$t_{1} =t_{2}$

$35+5c=10c\\10c-5c=35\\5c=35\\c=7$

Hence for 7 of classes the programs cost the same.

For more details follow the link:

brainly.com/question/4042361

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2 years ago

Read 2 more answers

The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization’s staff of

pishuonlain [190]

Answer:

Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

Let p = proportion of women in similar sales positions across the country in 2004

So, Null Hypothesis, $H_0$ : p $\geq$ 45%

Alternate Hypothesis, $H_A$ : p < 45%

Here, null hypothesis states that the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, alternate hypothesis states that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

T.S. = $\frac{\hat p -p}{\sqrt{\frac{\hta p(1-\hat p)}{n} } }$ ~ N(0,1)

Hence, the above hypothesis is appropriate for the given situation.

4 0

3 years ago

Please help on this I’m too dum

bezimeni [28]

For the first question, simply find a point that is on the line segment. For the second question, knowing that in quadrant iii the x values are negative and the y values are also positive using this fact find the point that has x negative and y positive.

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3 years ago

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A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find

natta225 [31]

The tension in the cable is given by the newton's first law will be 163.622 N.

<h3>What is newton's first law?</h3>

The summation of the force is equal to zero.

The formula is given as

ΣF = 0

Where m is the mass of the body and a is the acceleration.

A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.

Then the tension in the cable will be

Let T be the tension in the cable.

T sin 29° + T sin 53° – 210 = 0

On simplifying, we have

T (sin 29° + sin 53°) = 210

T = 163.622 N

More about the newton's first law link is given below.

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2 years ago

PLEASE HELP ME I BEG YOU

mylen [45]

The slope intercept form for a line is y = mx + b.
↑ ↑

m is the slope of the line or how steep it is. b is where the line runs into the y axis at one point. x and y are the values you plug in when you have a specific point you want to use (x, y).

For the first picture, you can see that the line "intercepts" or collides with the y axis at 1. Thus we know the b value.

To find the slope, you just pick 2 points on the line and plug them into a little equation (try to memorize this equation, it helps to find slope):

m = (y₂ - y₁)/(x₂ - x₁)

The two points we'll use are (1, 0) and (0, 1) since x goes through both of
those points. ↑ ↑ ↑ ↑
x₁ y₁ x₂ y₂

m = (1 - 0)/(0 - 1)

m = 1 / -1

m = -1

This makes sense - since the slope is going downward, the slope is negative.

So the equation is:

y = -x + 1

____________________________________________________________

For the second problem, We can see the line intercepts the y-axis at -5. That is our b value.

The the slope of this line is 0 since it is not going up or down, so that is our m value:

y = 0(x) - 5 = -5

The equation of the line is y = -5

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3 years ago