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Juli2301 [7.4K]

3 years ago

11

How many triangles exist with the given angle measures? 32 degrees, 51 degrees, 97 degrees

2 answers:

Montano1993 [528]3 years ago

8 0

Answer:

B

Step-by-step explanation:

mario62 [17]3 years ago

5 0

Answer: The correct answer is B.

The first thing to check is the sum of the angles. 32 + 51 + 97 = 180. Therefore, the sides equal 180 and we can have a triangle because all triangles have exactly 180 degrees.

Second, the number of triangles with these measures is endless. Imagine taking the initial triangle and doubling the size. The angles don't change but the triangle does. We could keep doubling the size forever.

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Need help on 11, 12, and 13

Sati [7]

11. is 25°
(Both triangles have two congruent angles which means the 3rd angle is bound to be the same. Just add the 90° and the 65° to get 155 and subtract from 180° because all triangles equal 180°)
12. is 25°
(Same as before, two of the angles are congruent so the third one is the same. Add all of the angles together and have them equal 180° because their is a variable present. 2x+60+70=180 or 2x+130=180. subtract 130 from both sides to get the equation 2x=50 and then divide both sides by 2 to get x=25.)
13. y=14 and x=11.6 (assuming m<d says 15x ÷ 2 because I couldn't really read it)
(m<a = m<d and m<b = m<e because they are lined up together in the ABC and DEF equation. so 3y=42 and (15x÷2=87)

7 0

2 years ago

The cost of pumpkin seeds is proportional to

zheka24 [161]

Answer:

Part 1) The unit rate is $\$0.25\ per\ ounce$

Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

Find the value of the constant of proportionality k

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

substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

$\$0.25\ per\ ounce$

Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

6 0

3 years ago

there were 18 cans ona shelf. a customer bought 7 cans. then jake put 6 cans on the shelf. how many cans are on the shelf now?

Rainbow [258]

18-7+6=17

17 cans are on the shelf.

3 0

2 years ago

Read 2 more answers

The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m

balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that $a = 18.5, b = 40.5$

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

$P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773$

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0

2 years ago

R is less than or equal to -9

Damm [24]

R<_-9

Hope this helps

5 0

3 years ago