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STALIN [3.7K]
1 year ago
11

] Complete the explanation of how you know whether the triangles are similar. If possible, find the Indicated length. A P 2.0 1.

7 B B Q 1.2 C С R Because two pairs of angles are congruent, the triangles are similar by the SSS Triangle Similarity Theorem QR =

Mathematics
1 answer:
disa [49]1 year ago
5 0

1. The two triangles are similar because the two pairs of angles are equal, therefore the third angles of both triangles must also be equal.

We can call this the AAA similarity criterion

2. To find QR, we must use ratios between 2 known similar sides of both triangles,

\frac{2.0}{1.7}=\frac{1.2}{QR}\text{  , QR=}\frac{1.2\times1.7}{2.0}=\text{ 1.02}

So, QR =1.02

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What is the solution to the following system of linear equations?
djverab [1.8K]

Answer:

There is no solution.

Step-by-step explanation:

4y − 36 = −12x

3x + y = −9

Add 12x and 36 to both sides of the first equation.

12x + 4y = 36

3x + y = -9

Multiply both sides of the second equation by -4.

12x + 4y = 36

-12x - 4y = 36

Add the two equations.

0 = 72

Since 0 = 72 is a false statement, this system of equations has no solution.

7 0
3 years ago
A store buys a pair of pants from a manufacturer for $35.00 and marks them up 65%. What is the price the customer must pay? Writ
QveST [7]
Costumer must pay $ 57.75

100%-----------35
165%-----------x

100x = 35x165
100x = 5,775
X= 57.75 The proportion is 35/100 = x/165
6 0
4 years ago
One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to th
Aleonysh [2.5K]

Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation will be,

x = 5y -------(1)

If 22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, (x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

Learn more,

brainly.com/question/12422372

5 0
3 years ago
Question 35
natulia [17]
1....Please make more sense
8 0
4 years ago
A weight-management researcher was interested in whether the size of breakfast could deter overall food consumption throughout t
Masja [62]

Answer:

The question is not correctly stated, here is the correctly stated question:

A weight-management researcher was interested in whether the size of breakfast could deter overall food consumption throughout the rest of the day. He creates two breakfast groups, a 350-calorie breakfast and a 750-calorie breakfast, assigns six participants to each group and tracks their total calories eaten in one day. Because of the detailed attention needed to accurately interview participants about their eating, he works with the high-calorie group and has his assistant interview the low-calorie group.

How many levels does the independent variable have in this study?

a. 1

b. 2

c. 6

d. It is impossible determine with the information given.

The correct answer is 2 (b)

Step-by-step explanation:

Variables are properties, of an experiment that take on different amount or values, unlike a constant that has one unchanging value assigned to it.

There are two kinds of variables; dependent and independent variables. Independent variables are variables that the scientist/experimenter has the power to manipulate at will. In our example, the independent variable is "the size of breakfast" because the experimenter chose by reason of will to either use 350-calories or 750- calories breakfast. While the dependent variables are variables whose outcomes are with respect to the change in the independent variable. The experiment is actually out to observe how the dependent variable plays out during the experiment. In our example, the dependent variable is "overall food consumption throughout the rest of the day". The outcome of the overall food consumption throughout the rest of the day is as a result of the size of breakfast taken.

Next, the independent variable can take on various levels, and the number of levels are the number of experimental conditions that the independent variables can take. In our example the independent variable (size of breakfast), was either 350-calories breakfast or 750-calories breakfast, hence it took 2 experimental conditions. Most of the time, 2 level independent variables are the independent and the control variables. For clarity, another example is; "a research to determine the effect of five kinds of body creams on the skin color after 2 years", the dependent variable is the skin color, while the independent variable is the type of cream and in this case there are five types of creams, hence the level of the independent variable is 5.

5 0
3 years ago
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