All categories

3 years ago

21) Find x. Show your work.

Mathematics

1 answer:

shepuryov [24]3 years ago

4 0

Answer:

x = 21

Step-by-step explanation:

Givens:

Every triangle's interior angles add up to 180°

The triangle has a right angle.

The triangle is isosceles (two equal sides and two equal angles)

Let's make an equation with the information we have already.

2 × (2x + 3) + 90 = 180

4x + 6 + 90 = 180

4x + 96 = 180

4x = 84

x = 21

You might be interested in

a store had 600 pounds of feed. after delivering equal amounts to 4 farmers , there are 60 pounds left. how many pounds did each

Daniel [21]

Answer: 135 pounds

Step-by-step explanation:

600-60=540

540/4=135

6 0

3 years ago

How many solutions does the equation below have?

Elina [12.6K]

Answer:

1.one solution is the answer

Step-by-step explanation:

3 0

3 years ago

7 qt. of a 27% saline solution was mixed

mamaluj [8]

Answer:

24% saline

Step-by-step explanation:

Find how much saline is in both solutions:

7(0.27)

= 1.89

3(0.17)

= 0.51

Add this together:

1.89 + 0.51

= 2.4

Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:

2.4/10

= 0.24

So, the concentration of the mixture is 24% saline

4 0

3 years ago

Please help me with this.

vivado [14]

Answer:

the ancer is 1

Step-by-step explanation:

6 0

3 years ago

Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue

Monica [59]

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{10}{12}=0.833$

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{5}{6}=0.833$

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{5}{12}=0.417$

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{10}{6}=1.667$

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

4 0

3 years ago

Read 2 more answers