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Goshia [24]
4 years ago
9

If ∠3 = 5x - 1, and ∠5 = 3x + 11, then x =

Mathematics
1 answer:
erma4kov [3.2K]4 years ago
8 0

5 = 3x + 11

Reorder the terms:

5 = 11 + 3x

Solving

5 = 11 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

5 + -3x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 + -3x = 11 + 0

5 + -3x = 11

Add '-5' to each side of the equation.

5 + -5 + -3x = 11 + -5

Combine like terms: 5 + -5 = 0

0 + -3x = 11 + -5

-3x = 11 + -5

Combine like terms: 11 + -5 = 6

-3x = 6

Divide each side by '-3'.

x = -2

Simplifying

x = -2

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A teacher is buying pencils for her classroom. If a dozen pencils cost $0.97, how many pencils can she purchase with $5?
mixas84 [53]

Answer:

The teacher can purchase 61 pencils with $5

Step-by-step explanation:

This is a simple proportion problem. It can be solved by pure logic reasoning without any formulas

It a dozen pencils cost $0.97, each pencil cost $0.97/12=0.08083

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6 0
3 years ago
Please I need help I don't understand
mario62 [17]

Answer:

Step-by-step explanation:

from the graph of f(x)

when x=1,f(x)=0

or f(1)=0

when f(x)=2,x=2

for g(x)

when x=6,g(x)=16

or g(6)=16

when g(x)=18,x=32

for h(x)

when x=14

h(x)=27x-7

h(14)=27×14-7=7(27×2-1)=7(54-1)=7×53=371

h(x)=-493

27x-7=-493

27 x=-493+7=-486

3 x=-54

x=-18

for p(t)

when t=94

p(t)=24

p(94)=24

p(t)=67

t=31

8 0
3 years ago
Three randomly selected households are surveyed. /The numbers of people in the households are 1, 3, and 8. Assume that samples o
inn [45]
The question is asking to find the variance for the said samples in the problem ans use the sample data to determine each variance, and base on my further computation and further calculation, I would say that the answer would be the following:
#1. 3.3 -> 1 and 3 -> 2/9
#2. 1-> 0->3/9
#3. 6.3 - > 8 and 3-> 2/9
#4 49-> 1 and 8-> 2/9
8 0
3 years ago
How do I work this problem out? 7/8-1/4
Tems11 [23]
<span>7/8 - 1/4 = 7/8 - 2/8 = 5/8</span>
8 0
3 years ago
Read 2 more answers
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