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Vitek1552 [10]
3 years ago
8

Write 3 different equivalent expression of 6(3x plus 8) plus 32 plus 12x

Mathematics
2 answers:
Delvig [45]3 years ago
7 0
18x + 48 + 33 + 12x
30x + 48 + 33
30x + 81
qwelly [4]3 years ago
5 0
18x+24+32+12x
56+18x+12x
56+30x
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If the measure of the exterior angle adjacent to the vertex angle of an isosceles triangle is 105 degrees find the measure of th
Nina [5.8K]

Given:

The measure of the exterior angle adjacent to the vertex angle of an isosceles triangle is 105 degrees.

To find:

The measure of the base angle.

Solution:

We know that the base angles of an isosceles triangle are equal.

Exterior angle theorem: In a triangle, the sum of two interior angles of the triangle is equal to the opposite exterior angle.

Let x be the measure of the base angle. Then the other base angle is also x.

Sum of base angles = x + x

                                 = 2x

Using exterior angle theorem,

Sum of base angles = Measure of the exterior angle adjacent to the vertex

2x=105^\circ

x=\dfrac{105^\circ}{2}

x=52.5^\circ

Therefore, the measure of the base angle is equal to 52.5 degrees.

3 0
3 years ago
A product of 9 and number plus one is 19. Write an equation?
Degger [83]

Answer:

9x + 1 = 19. hope this helps

Step-by-step explanation:

- Zombie

6 0
2 years ago
Read 2 more answers
Of the 150 students that attended the science camp, 82 were sixth graders. Marco says that less than half of the campers were si
erastovalidia [21]

Answer:

Incorrect

Step-by-step explanation:

150 students are 100%,

82 students are x%

(82*100)/150=54,67%, so  that is more than half of all students

4 0
3 years ago
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4. You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:1
Dvinal [7]

Answer:

48 mph

Step-by-step explanation:

First we need to find the distance from Elkhart to Chicago. Toledo to Elkhart is 136 miles and Toledo to Chicago 244 miles.

So the distance from Elkhart to Chicago can be calculated, since Chicago is farther from Toledo than Elkhart, as: distance(Toledo to Chicago) - distance(Toledo to Elkhart). These distances are given in the problem, so the distance from Elkhat to Chicago is: 244 miles - 136 miles = 108 miles.

This problem basically wants to know the slowest you can be yet still ariving on time. If you are the minimum speed, you will arrive in Chicago exactly at 10:30 A.M. So you have 2 hours and 15 minutes(10:30 A.M - 8.15A.M.) to drive 108 miles.

15 minutes is a fourth of a hour, so you have 2.25hours to go through 108 miles.

The minimum speed you must maintain is 108mph/2.25h = 48mph.

5 0
3 years ago
Andre earns $4,000 a month at his new job in order to track his spending and saving he created a monthly budget. Andre divided h
Alik [6]

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

3 0
3 years ago
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