All categories

3 years ago

Find the value of x, please helppp

Mathematics

1 answer:

Ratling [72]3 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

The two triangles at the left have the same angles and share a side, so they are congruent. Therefore, the vertical side is also 6x−2.

Using the same logic, the two triangles on the right have the same angles and share a side, so they are congruent. Therefore, the vertical side is also 9x−11.

So:

6x − 2 = 9x − 11

9 = 3x

x = 3

You might be interested in

HELLPPPPP PLS INCLUDE EXPLANATION ON HOW TO DO IT SO I CAN DO IT ON MY OWN!!!!

ale4655 [162]

Answer: 0.000021 in scientific notation is

2.1 × 10-5

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form

m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.

To convert 0.000021 into scientific notation, follow these steps:

Move the decimal 5 times to right in the number so that the resulting number, m = 2.1, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form m × 10n

= 2.1 × 10-5

Therefore,

2.1 × 10-5 is the scientific notation form of 0.000021 number and 2.1e-5 is the scientific e-notation form for 0.000021

** Hope this helps you! Good Luck!

3 0

3 years ago

∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?

Natalka [10]

Answer:

x = 8

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. If ABC and DBC are complimentary, then when added together, it equals 90 degrees.

ABC + DBC = 90

6x+13+4x−3 = 90

10x+10 = 90

10x = 80

x = 8

6 0

3 years ago

The hockey team won 63 out of the 84 games it played this year.what percent of the games did the team win

Deffense [45]

63 is 75% of 84.
Percent of a Total

3 0

3 years ago

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

vesna_86 [32]

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

2). There are 33 dimes and 57 quarters in the bank.

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

D + 2.5Q = 175.50 ------------(2)

Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = $\frac{85.5}{1.5}$

= 57

By putting Q = 57 in the equation (1)

D + 57 = 90

D = 90 - 57 = 33

Therefore, there are 33 dimes and 57 quarters in the bank.

4 0

3 years ago

an orchard owner wants to plant 64 cherry tree seedlings and 96 peach tree seedlings in a rows each row is to have the same numb

NikAS [45]

The difference of these numbers (32) is also a divisor of both, so that is the greatest common divisor (GCD) and the answer to your question.

The orchard can consist of 32 rows, each with 3 peach trees and 2 cherry trees.

4 0

3 years ago