All categories

3 years ago

Iiiiiiiiytffhjhffjdjhdhdhdhdhhdhdd

Mathematics

1 answer:

SVEN [57.7K]3 years ago

8 0

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 interior angles of a triangle = 180°, hence

x + x + 10 + 3x + 20 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

You might be interested in

What is the distance between (0, 0) and

sp2606 [1]

Answer:

C. 17

Step-by-step explanation:

Distance formula:

$\sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } \\ \\ = \sqrt{ {(8 - 0)}^{2} + ( {15 - 0})^{2} } \\ \\ = \sqrt{ {(8)}^{2} + {(15)}^{2} } \\ \\ = \sqrt{64 + 225} \\ \\ = \sqrt{289} \\ \\ = 17$

6 0

3 years ago

In an election of 2 candidates, Freda received 60% of the votes and Sonja the rest. If Freda won by 28 votes, how many people vo

klemol [59]

Answer:

Total number of people who voted in the elections = 140.

Step-by-step explanation:

Votes received by Freda = 60%

So, the votes received by Sonja = (100 - 60)% = 40%

So difference between the votes of Sonja and Freda = 60% - 40% = 20%

Also Freda won by 28 votes, so difference between their votes = 28 votes

Let the total number of people voted = K

Now, according to the question

20 % of K = 28

$\frac{20}{100} \times K = 28\\$

⇒ K = 2800/20 = 140

So, the total number of people who voted in the elections are 140.

8 0

4 years ago

Someone tell me the answer of an expression equivalent to 4-2(x+5). Please and Thank you.

igomit [66]

Answer:

-2x - 6

Step-by-step explanation:

Multiplication must be done before addition or subtraction. Thus, we leave '4' as is and multiply out -2(x + 5), obtaining:

4 - 2x - 10, or -2x - 6

5 0

3 years ago

5/4 hour = __ minutes

Rudik [331]

Answer:

hour= 1.25

MINUTES ANSWER= 75 minutes

Step-by-step explanation:

hope that helps>3

5 0

3 years ago

Read 2 more answers

Heather received $100 for her 13th birthday if she saves it in a bank with 3% interest compounded quarterly how much money will

ololo11 [35]

Answer:

109.38

Step-by-step explanation:

Recall the formula for compound interest is as follows:

A = P·(1 + r/n)nt , where

P = principal amount (initial amount deposited)

r = annual rate of interest (in decimal form)

t = # of years amount is deposited for

n = # of times interest is compounded per year

A = amount accumulated after t years, including interest

The problem asks how much money Heather will have in the bank by her 16th birthday when she deposited $100 on her 13th birthday in a bank with 3% interest compounded quarterly. From this, we have the following information:

P = $100

r = 0.03 ==> 3%/100% = 0.03

t = 3 years ==> 16 - 13 = 3

n = 4 ==> since there are 12 months per year and 12/4 = 3 months,

then interest is compounded every 3 months which is a total of 4 times per year

Therefore,

A = P(1 + r/n)nt

= 100(1 + 0.03/4)4·3

= 100(1 + 0.0075)12

= 100(1.0075)12

= 109.38069

≈ 109.38

Thus, Heather will have $109.38 in the bank by her 16th birthda

6 0

3 years ago