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san4es73 [151]
3 years ago
10

PLEASE HELP 25 POINTS

Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

a

Step-by-step explanation:

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Solve. 3 + x > -9 A) x > 3 B) x > -6 C) x > -3 D) x > -12
IRISSAK [1]

so did you get what I solved the answer is D ok

5 0
3 years ago
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures
aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

x = \dfrac{140^{\circ}}{70} = 2^{\circ}

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0
2 years ago
Given the equation -2x + 8y = 24, determine the x- and y-intercepts. PLZ HELP???
attashe74 [19]

Answer:

x=(-12,0)

y=(0,3)

Step-by-step explanation:

<u><em>x-intercept</em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

x=4y-12

x=4(0)-12

x=-12

<u><em>y-intercept </em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

-4y=-12-x

y=-\frac{-12-x}{4}

y=-\frac{-12-(0)}{4}

y=\frac{12}{4}

y=3

5 0
3 years ago
X is normally distributed with mean 250 and standard deviation 40. what value of x does only the top 15% exceed?
lubasha [3.4K]
The top 15% (85th percentile) is the cutoff value x such that

\mathbb P(X\le x)=\mathbb P\left(\dfrac{X-250}{40}\le\dfrac{x-250}{40}\right)=\mathbb P(Z\le z)=0.85

where z is the corresponding cutoff for the standardized normal distribution. We have z\approx1.0364, and so

\dfrac{x-250}{40}=z\implies x\approx291.456
3 0
3 years ago
Write the equation of the line that passes through the points (1, -7) and (-6, -9).
jek_recluse [69]

Answer:

y = 2/7 x - 51/7

Step-by-step explanation:

Equation of the line

(y-y1)/(y2-y1) = (x-x1)/(x2-x1)

(y-(-7)/(-9-(-7) = (x-1)/(-6-1)

(y+7)/-2 = (x-1)/-7

(-y-7)/2 = (-x+1)/7

-y-7 = -2/7 x + 2/7

-y = -2/7x +2/7 + 7

y = 2/7 x - 2/7 - 7

y = 2/7 x + (-2-49)/7

y = 2/7 x - 51/7

3 0
3 years ago
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