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Murljashka [212]
4 years ago
13

The third angle of a triangle is the same size as the first. The second angle is 4 times the third. Find the measure of angles.

Mathematics
1 answer:
Marta_Voda [28]4 years ago
3 0

Answer:

1st angle 30°

2nd angle 120°

3rd angle 30°

Step-by-step explanation:

Let's call

A = 1st angle

B = 2nd angle

C = 3rd angle

In every triangle it holds

A + B + C = 180°

Now, if the third angle of the triangle is the same size as the first

A = C

If the second angle is 4 times the third

B = 4C

we have then

C + 4C + C = 180° ===> 6C = 180° ===> C = 30°

If C = 30° then A = 30° and B = 120°

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12 inches = 1 foot
144 square inches = 1 square foot
1250 square inches = 1250/144 = 8.68 square feet
4 0
4 years ago
Find the value of each variable in the parallelogram
wlad13 [49]

Answer:

B= 90

C= 80

D= 100

Step-by-step explanation:

So let’s start with the bottom angles.

We know that the adjacent angles in a parallelogram add up to 180° so our equation would be (b-10) + (b+10)=180. So let’s simplify it b and b are both the same variables so we will get 2b and -10 + 10 is 0 so we get the following equation 2b=180.

So now we divide 180 and 2 and we get 90 as b.

So one side will be 100 because of the +10 and the other 90 because of the -10.

Now for the next side.

d+c=180

So we know that b+10 is adjacent to c so 180-100 is 80, so 80 is c.

Now for d.

b-10 is 80 so 180-80 is 100, so d is 100.

7 0
4 years ago
Ally ran 5 miles in 6 minutes. Sami ran 6 mile. If ally ran at a faster rate than Sami ,in how many minutes could Sami have run
Veseljchak [2.6K]
Answer:6 minutes
(not really sure that is what i got)
8 0
3 years ago
Read 2 more answers
A motorboat maintained a constant speed of 28 miles per hour relative to the water in going 45 miles upstream and then returning
Sveta_85 [38]
The speed of the current is 7 miles per
hour.
Step-by-step explanation:
Let × represent speed of the current.
We have been given that a motorboat
maintained a constant speed of 11 miles per
hour relative to the water in going 18 miles
upstream and then returning.
The speed of motorboat while going
upstream would be 11
The speed of motorboat while going
downstream would be 11 + 2
Time
Distance
Speed
3 0
2 years ago
QUESTION 1) Line M passes through the points (-4, -11) and (3, 3). Line N passes through the points (5, -2) and (-6, 9). Which o
7nadin3 [17]

Answer:

Yes, lines M and N intersect because their slopes are different.

Step-by-step explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

(3--11) / (3--4)

(3+11) / (3+4)

14/7

2

Now we know that the slope of Line M is 2.

Slope of Line N:

(9--2) / (-6-5)

11/-11

The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

Hope this helps

4 0
3 years ago
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