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Over [174]
3 years ago
9

Can anyone explain this to me..please?

Mathematics
2 answers:
vodka [1.7K]3 years ago
5 0

Answer:

x = 37°

Step-by-step explanation:

If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

oee [108]3 years ago
3 0
If the lines are parallel x = 37° because corresponding angles are equal.
You might be interested in
Find the value of x in the following figure
loris [4]
I think it’s 90 just add them up the subtract 180




4 0
2 years ago
Solve each inequality, and then drag the correct solution graph to the inequality.
Nesterboy [21]

The correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

4(9x-18)>3(8x+12)

First, clear the brackets,

36x-72>24x+36

Then, collect like terms

36x-24x>36+72\\12x >108

Now divide both sides by 12

\frac{12x}{12} > \frac{108}{12}

∴ x > 9

For the second inequality

-\frac{1}{3}(12x+6) \geq -2x +14

First, clear the fraction by multiplying both sides by 3

3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)

-1(12x+6) \geq -6x +42

Now, open the bracket

-12x-6 \geq -6x +42

Collect like terms

-6 -42\geq -6x +12x

-48\geq 6x

Divide both sides by 6

\frac{-48}{6} \geq \frac{6x}{6}

-8\geq x

∴ x\leq  -8

For the third inequality,

1.6(x+8)\geq 38.4

First, clear the brackets

1.6x + 12.8\geq 38.4

Collect likes terms

1.6x \geq 38.4-12.8

1.6x \geq 25.6

Divide both sides by 1.6

\frac{1.6x}{1.6}\geq  \frac{25.6}{1.6}

∴ x \geq  16

Let the graphs be A, B and C from left to right

The first graph (A) shows x\leq  -8 and this matches the 2nd inequality

The second graph (B) shows x \geq  16 and this matches the 3rd inequality

The third graph (C) shows x > 9 and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

4(9x-18)>3(8x+12)  →  C

-\frac{1}{3}(12x+6) \geq -2x +14  → A

1.6(x+8)\geq 38.4  →  B

Learn more here: brainly.com/question/17448505

8 0
2 years ago
HELP ALGEBRA IS KILLING ME IMAGE IS BELOW
djyliett [7]

Answer:

58240

Step-by-step explanation:

1425 ------ 45600

1820 ------   x

1425*x = 1425x

45600*1820 = 82992000

1425x = 82992000

82992000/1425 = x

58240 = x

6 0
2 years ago
How do you solve 90% of 20?
Marizza181 [45]
All you would do is multiply .9 by 20
.9*20=18

90% of 20 is 18
3 0
3 years ago
The product of which expression contains four decimal places?​
dalvyx [7]

Answer: we need to see the problem

Step-by-step explanation:

3 0
3 years ago
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