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3 years ago

Someone plz help me with this question with an explanation

Mathematics

1 answer:

Furkat [3]3 years ago

4 0

To use the angle-angle similarity theorem you need to know 2 corresponding angles of each triangle are the same.

You are already shown that angles H and M are the same.

The sets of corresponding angles are:

H and M, N and I, and O and J

The answer would be angle O and angle J are similar.

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A caterer makes 15 3/4 quarts of tomato soup. He pours 2 cups of soup into each bowl. How many quarts of soup are in each bowl?

Sindrei [870]

<u>ANSWER: </u>

There are 0.5 quarts in each bowl. There are 31 fully filled bowls. And left over soup is 1 cup of soup.

<u>SOLUTION: </u>

Given, a caterer makes $15 \frac{3}{4}$ which is equal to $\frac{63}{4}$ quarts of tomato soup.

He pours 2 cups of soup into each bowl.

Now let us find how many quarts of soup are in each bowl?

We know that, 1 us liquid quart equals to 4 us cups.

Then, 1 quart = 4 cups

1 cup = $\frac{1}{4}$ quarts

Here, in each bowl caterer pours two cups,

So, 2 cups = $2 \times \frac{1}{4}$ quarts

$= \frac{1}{2} = 0.5 quarts$

Hence, there are 0.5 quarts in each bowl.

Now let us find how many 2-cup bowls of soup can the caterer fill to the top?

From above part, we know that, each bowl has 0.5 quarts.

Then, total bowls with 2- cups of soup = $\frac{\text {total soup}}{\text {soup in one bowl}}$

$=\frac{\frac{63}{4}}{\frac{1}{2}}$

$=\frac{63}{4} \times \frac{2}{1}$$=\frac{63}{2}$$=31.5$$

Here, 0.5 means that a bowl which is not filled to the top. So there are 31 fully filled bowls.

Now, let us find how many cups of soup are left over?

From above part we saw that, there are 31 fully filled bowls but there is a bowl with 0.5 quarts and which is not fully filled.

So, it is the amount of soup which is left over. i.e. 0.5 times of a bowl.

We know that, each bowl will have two cups.

Here left over bowl has half of it filled with soup

So the left over soup is 1 cup of soup.

5 0

3 years ago

1. What is the slope of the graph? (HINT: Pay close attention to what the x and y axes are counting by!) 2. What does the slope

lidiya [134]

Slope = -4/5

Jeremiah looses money every time he buys a ticket

hope this helped a little

6 0

3 years ago

Write an equation of the line that passes through (2,−5) and is parallel to the line 2y=3x+10

LenaWriter [7]

Step-by-step explanation:

Divide two on both sides to get rid of it and the make the equation in the form y = mx + c

$\frac{2}{2} y = \frac{3}{2} x + \frac{10}{2}$

y = 3/2x + 5

since both lines are parallel they must have the same gradient which is 3/2

y = 3/2x + c

All you have to do now is to replace x and y with (2, -5) to find c

x = 2

y = -5

-5 = 3/2 × 2 + c

-5 = 3 + c

c = -5-3

c = -8

$y = \frac{3}{2} x - 8$

8 0

2 years ago

In the parallelogram below, z = ?°

katrin [286]

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

7 0

2 years ago

Simplify the ratio 11/33 and then give 2 more equivalent ratios

KATRIN_1 [288]

The simplest ratio is 1/3. Equivalent ratios would be 3/9 and 5/15.

4 0

3 years ago