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3 years ago

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.

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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

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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:

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3 years ago