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2 years ago

Find the value of x I need help

Mathematics

1 answer:

astra-53 [7]2 years ago

3 0

Answer:

x =35

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+10 +x + 3x-5 = 180

Combine like terms

5x+5 = 180

Subtract 5 from each side

5x+5-5 =180-5

5x = 175

Divide by 5

5x/5 =175/5

x =35

You might be interested in

Simplify negative 5 minus the square root of negative 44 negative 5 minus 4 times the square root of 11 i negative 5 minus 4 i t

Anika [276]

Answer:

$-5-\sqrt{-44}=-5-2\sqrt{11}i$

Step-by-step explanation:

We want to simplify:

$-5-\sqrt{-44}$

We rewrite the expression under the radical sign to obtain:

$-5-\sqrt{4\times11\times -1}$

We split the expression under the radical sign to get:

$-5-\sqrt{4} \times \sqrt{11} \times \sqrt{-1}$

Recall that:

$\sqrt{-1}=i$

This implies that:

$-5-\sqrt{4} \times \sqrt{11} \times \sqrt{-1}=-5-2\sqrt{11}i$

Therefore $-5-\sqrt{-44}=-5-2\sqrt{11}i$

6 0

3 years ago

Question in attachment

kiruha [24]

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45 , C=90

6 0

3 years ago

A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,

Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

$Day = 86400\ seconds$

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

$86400/2 = 43200$

$43200/2=21600$

$21600/2=10800$

$10800/2=5400$

$5400/2= 2700$

$2700/2 = 1350$

$1350/2=675$

$675/3=225$

$225/3=75$

$75/3=25$

$25/5=5$

$5/5 = 1$

This implies that:

$86400 = 2^7 * 3^3 * 5^2$

The number of factors d is the solved by:

$d = (a+1)*(b+1) *(c+1)$

Where

$n = 2^a * 3^b * 5^c$

By comparison:

$a = 7$

$b = 3$

$c=2$

So:

$d = (7+1)*(3+1) *(2+1)$

$d = 8*4 *3$

$d = 96$

Hence, there are 96 total ways

7 0

3 years ago

three sets of the sum of a number and four are added to the sum of seven times the same number and thirteen

almond37 [142]

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

Solution:

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

Thus the algebraic expression for given statement is:

$3(x+4)+(7x + 13)$

Using distributive property in above expression

$a(b+c) = ab + bc$

Therefore,

$3(x+4)+(7x + 13) = 3x + 12 + 7x + 13$

Combine the like terms

$3(x+4)+(7x + 13) = 10x+25$

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

7 0

2 years ago

Five times the sum of 3 and twice some numbers is 70. What is the number?

Anna11 [10]

Let x represent some number
Sum of 3 and twice some number = 3 +2x
Five times the sum of 3 and twice some number: 5(3+2x)

5(3+2x)=70
15+10x=70
Subtract 15 from both sides to have 10x by itself
10x=55
Divide 10 on both sides to get x by itself
x=55/10
x=5.5

Hope this helped

8 0

3 years ago