What is the product of 713 and 82

Answers

Answer 1

Answer: 713*82=58,466
Thats all :)

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If triangle MNO is similar to triangle PQR, which statement is true about the two triangles?Segment NO is proportional to segment QR, and angles M and P are congruent.

Segment MN is congruent to segment PQ, and angles O and R are congruent.

Segment NO is proportional to segment QR, and angles M and P are proportional.

Segment MN is congruent to segment PQ, and angles O and R are proportional.

Answers

Answer:

Option 1 is correct.

Step-by-step explanation:

Given if If triangle MNO is similar to triangle PQR, we have to choose the true statement about the two triangles.

As the two triangles are similar therefore their corresponding sides are proportional angle angles are congruent.

In the option 1,

Segment NO is proportional to segment QR, and angles M and P are congruent.

which is the correct option.

Option 2: Segment MN is congruent to segment PQ, and angles O and R are congruent.

If two triangles are similar then its not compulsory corresponding sides are congruent these are proportional.

Not correct.

Option 3: Segment NO is proportional to segment QR, and angles M and P are proportional.

here, angles must be congruent.

Not correct.

Option 4: Segment MN is congruent to segment PQ, and angles O and R are proportional.

If two triangles are similar then its not compulsory corresponding sides are congruent these are proportional.

Not correct.

The first one. Segment NO is proportional to segment QR, and angles M and P are congruent.

In similar triangles, their angles are congruent but their sides are only proportional. That is why the last three are not true.

Izzy is making cookies. The recipe for 1/4 cup of butter and 3/8 cup of sugar. How much sugar would Izzy use if she used 1 cup of butter? Write your answer as a mixed number

Answers

To solve this equation, we have to set up a proportion, because we want to keep the ratio of butter to sugar equal between the two recipes. Let x represent the amount of sugar that we are trying to find.

1/4 cup butter/3/8 cup sugar = 1 cup butter/ x cup sugar

To solve this proportion, we need to use cross products, or the multiplication of the numerator of one fraction by the denominator of the other, and setting them equal to one another. If done properly, the resulting equation is:

1/4x= 3/8

Finally, we just need to divide both sides by 1/4, which is the coefficient of x, as we are trying to get x alone. Your final answer is

x=1.5.

Therefore, this means that if Izzy uses 1 cup of butter, she would use 1 1/2 cups of sugar.

Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3