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Pavel [41]
3 years ago
8

I need help with number 1

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:∠1=55° ∠2=55° ∠3=55° ∠4=70° ∠5=55°

Step-by-step explanation:

We know that opposite angles of rhombus are congruent and the diagonals of rhombus cut the vertex angles into half. So ∠4=70° and ∠2=∠3=∠1=∠5.

Let ∠2+∠3=x

the sum of four angles of rhombus= 360°

70+70+ x +x = 360°

140+2x = 360°

2x=220°

x=110°

∠2=110°/2=55°=∠3=∠1=∠5

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Given two terms in artimetic sequence find the common difference, the 52 term, and the explicit formula. A15=139 and A30=259
quester [9]

139, 149, 159, 169, 179, 189, 199, 209, 219, 229, 239, 249, 259.


The common difference is 13.


Let n = 52


Let d = common difference


a_52 = 139 + (52 - 1)(13)


a_52 = 139 + (51)(13)


a_52 = 139 + 663


a_52 = 802




4 0
3 years ago
Can someone help me? <br>​
german

Step-by-step explanation:

p1=7

p2=10

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3 0
3 years ago
Bob decided to go to college, the cost of going to school will be $4,474 per semester, (there are 2 semesters per year) plus $38
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

1 semester = 4474

8 semester = 8* 4474                    35792

1 semester books = 389

8 semester books = 8* 389            <u> 3112 </u>

Total                                                38904  

If he is going to pay this off in 10 years, he would have to have an increase of 3890.40 (after all income taxes) to pay it off. Fewer years would mean dividing by the number of years.

So for 8 years for example, he would need 4863 every year.

That number is obtained by dividing 38904 / 8

In 6 years he would need

38904/6 = 6484 extra dollars.        

5 0
3 years ago
Step by step factoring: x^2-11xy+30y^2
oee [108]
Do you need it explained or just the answer

5 0
3 years ago
Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya​. How old is Elliot now?
Serggg [28]

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

4 0
3 years ago
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