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quester [9]
3 years ago
15

Given that ABCD is a rhombus, what is the value of x?

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

B

Step-by-step explanation:

A rhombus is divided into four congruent triangles. The two given angles are complementary, meaning they add up to 90 degrees. Set up an equation:

(4x-25)+x=90

4x-25+x=90   Take out the parentheses

5x-25=90   Combine like terms

5x=115   Add 25 to both sides so as to isolate the variable

x=23   Divide both sides by 5

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Find the area of a triangle with a base length of 4 units and height of 5 units.
ruslelena [56]
Area of a Triangle = 1/2 * b * h
A = 1/2 * 4 * 5
A = 1/2 * 20
A = 10 units

In short, Your Answer would be Option C

Hope this helps!
7 0
3 years ago
Augustin has 20 different chess boards. If he played 3 games per day, each game played on a different board, how long would it t
Nutka1998 [239]

Answer:

514 days

Step-by-step explanation:

We use the formula (r+n-1)/r(n-1)

There are 1540 combinations. Then, we'll divide them by three because were not just finding the amount of combinations, but the time it'd take to play them all.

We get 513.333(cont.)

thats not really possible, so we're gonna go with 514 instead, rounding up. Normally we'd round down, because the number behind the decimal is below 5, but we really want to make sure we get every combination in there.

Hope this is helpful!

8 0
3 years ago
What is the value of x?enter your answer in the box .
Katarina [22]

By pythagoras Theorem.

x² +12²=13²

=>x² +144 =169

=>x² =169-144=25

=>x=√25=5 unit.

Hence x=5 is your answer.

Hope it helps...

Regards,

Leukonov/Olegion.

4 0
3 years ago
There are 45 Students per bus. Find the number of students on 5 buses
ss7ja [257]

Answer:

225 students

Step-by-step explanation:

45 x 5 = 225

6 0
3 years ago
Read 2 more answers
Solve using substitution<br><br> y=1/2x<br> x+4y=18
Aleks [24]

Answer:

The solution set is (6,3)

Step-by-step explanation:

Begin by multiplying equation 1 by 2. You'll see why in a moment

2y = 2*(1/2) x

2y = x

Substitute this value into equation 2.

2y + 4y = 18                  Combine like terms on the left

6y = 18                          Divide both sides by 6

6y/6 = 18/6                    Do the division

y = 3

To solve for x just use the top equation

y = 1/2x

3 = 1/2x                          Multiply by 2

3*2 = x

x = 6


7 0
3 years ago
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