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3 years ago

What is the value of x that makes l1||l2? A. 15 B. 25 C. 18 D. 29

Mathematics

2 answers:

zhenek [66]3 years ago

7 0

Answer:

x = 29

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

3x+17 = 4x-12

Subtract 3x from each side

3x+17-3x = 4x-12-3x

17 = x-12

Add 12 to each side

17+12 = x-12+12

29 =x

AfilCa [17]3 years ago

5 0

Answer:

D. 29

Step-by-step explanation:

If you plug in 29 in the missing values for L1 and L2, you get

L1 = 3(29) + 17 = 104

L2 = 4(29) - 12 = 104

I know I am correct because since both L1 and L2 are parallel and T in cutting them, I know that they are both going to be the same degrees, 104.

So, your answer would be D. 29

Hope the helps! :)

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ad-work [718]

Answer:

${2}^{7}$

Step-by-step explanation:

${2}^{7} = 128$

${7}^{2} = 49$

So,

$128 > 49 \\ {2}^{7} \: \: \: \: > {7}^{2}$

Therefore 2^7 is greater

4 0

3 years ago

Identify an equation in slope-intercept form for the line parallel to y=5x+2 that passes through (-6,-1).

Roman55 [17]

Answer:

Step-by-step explanation:

gradient for the line y=5x+2 = 5 from y=mx+c where m =gradient

parallel lines have equal gradients thus M2=5

equation for line passing through point (-6,-1) and gradient , m=5 will be

(change in y/change in x)=M2

(y--1/x--6)=5

y+1/x+6 =5

y+1=5(x+6)

y+1=5x+30

y=5x+29

3 0

3 years ago

Solve.

Eva8 [605]

$2x^2+x-1=2\ \ \ |-2\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\ \ |-3\\2x=-3\ \ \ |:2\\x=-\frac{3}{2}\\\\x-1=0\ \ \ |+1\\x=1$

Answer: C 1, -3/2

4 0

3 years ago

An ounce is equal to about 28 g. If 1 g of soil contains 2.5 billion bacteria, how many bacteria are in 1 oz of soil?

Nimfa-mama [501]

Answer:

About 700 billion bacteria

Step-by-step explanation:

Given

$1oz \approx 28g$

$1g = 25\ billion\ bacteria$

Required

Number of bacteria in 1 oz

$1g = 25\ billion\ bacteria$

Multiply both sides by 28

$28 * 1g = 25\ billion\ bacteria * 28$

$28g = 700\ billion\ bacteria$

Recall that

$1oz \approx 28g$

This means:

$1oz \approx 700\ billion\ bacteria$

5 0

3 years ago

If M is the midpoint of PQ and X is the midpoint of PM then PX = a PQ Which statement is True? a is equal to 1 a is equal to 1/2

garik1379 [7]

Answer:

D. a is equal to $\frac{1}{4}$

Step-by-step explanation:

Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.

Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.

Then;

PX = aPQ

⇒ = a x 8

= 8a

Therefore, a must be equal to $\frac{1}{4}$ , so that;

PX = 8a

= 8 x $\frac{1}{4}$

= 2 units

Thus, a is equal to $\frac{1}{4}$ is the correct option.

6 0

3 years ago