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Bogdan [553]
3 years ago
12

Find the value of x that makes m parallel to n.

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0
I think x is equal to 6, cuz (16x - 6) is a corresponding angle to the 90 degree angel, corresponding is congruent, so 90=16x-6, solve that and you get x = 6
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Solve for the two acute angles
sineoko [7]

Answer:

Angle A = 37 degrees, and Angle B = 53 degrees.

Step-by-step explanation:

We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.

Angle A = 6x + 7

Angle B = 11x-2

Angle C = 90 degrees

A + B + C = 180

Substitute:

6x + 7 + 11x - 2 + 90 = 180

17x + 5 + 90 = 180

17x + 5 = 90

17x = 85

x = 5

Now substitute 5 for x in both acute angles and you will get your answer.

Angle A = 6(5) + 7

Angle A = 30 + 7

Angle A = 37

Angle B = 11(5) - 2

Angle B = 55 - 2

Angle B = 53

Angle A = 37 degrees, and Angle B = 53 degrees.

Hope this helps.

7 0
2 years ago
Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at
Anna71 [15]

Answer:

ShopRite by 20 cents per pound.

Step-by-step explanation:

5 0
3 years ago
The sum of 3 consecutive even integers is 576. Find the integers
alisha [4.7K]
You can write the equation
x+1+x+3+x+5=576
Combine like terms
3x+9=576
Subtract 9 from both sides
3x+9-9=576-9
3x=567
Divide both sides by 3
3x/3=567/3
x=189
 The first integer is 190, the second is 192 and the third is 194 (enter it into the original equation to get those answers)
4 0
3 years ago
The following data summarizes results from 939 pedestrian deaths that were caused by accidents . If one of the pedestrian deaths
olganol [36]

Answer:

Step-by-step explanation:

Hello!

The contingency table is attached.

The total of pedestrians is 909, not 939, there are 30 accidents less in the given data.

I've calculated the asked probabilities using a total of 909.

1. The probability that the pedestrian was intoxicated or the driver was intoxicated.

Two events are mutually exclusive when the occurrence of one prevents the occurrence of the other in one single performance of the experiment. (i.e there is no intersection between the events P(A∩B)=0)

When two events are mutually exclusive, the probability of the union of both elements is equal to the sum of their individual probabilities P(A∪B)= P(A) + P(B).

When the events aren't mutually exclusive, the probability of their union is equal to the summary of their probabilities minus the probability of the intersection between these two events P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

∪ is the union of both events, in colloquial language represents "or"

∩ is the union of both events, or intersection of the events, in colloquial language represents "and"

In this case P(P₁ ∪ D₁) = P(P₁) + P(D₁) - P(P₁ ∩ D₁) = \frac{306}{909} + \frac{132}{909} - \frac{81}{909} = 0.393

P₁ and D₁ are not mutually exclusive

2. The probability of the pedestrian was intoxicated or the driver was not intoxicated.

These two events aren't mutually exclusive.

P(P₁ ∪ D₂)= P(P₁) + P(D₂) - P(P₁ ∩ D₂)= \frac{306}{909} +\frac{777}{909} *-\frac{225}{909}= 0.944

I hope it helps!

3 0
3 years ago
Plz help!!!!!!!!!!!! Will be marked BRAINLIEST
s344n2d4d5 [400]

dk

dk

dk

kd

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kd

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dlk

dk

dkl

bye

5 0
2 years ago
Read 2 more answers
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