9514 1404 393
Answer:
x = 28
Step-by-step explanation:
The marked angles are supplementary, so you have ...
(3x +10) +(3x +2) = 180
6x +12 = 180 . . . . . . . . . . simplify
x +2 = 30 . . . . . . . . divide by 6
x = 28 . . . . . . . subtract 2
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<em>Additional comment</em>
You might generally solve a 2-step linear equation by doing the subtraction first, then the division by the coefficient of the variable. If all of the numbers are a multiple of that coefficient, I like to do the division as soon as I can. That way, the numbers I'm working with are as small as possible, and once I isolate the variable term, I have the answer.
The obtuse angle (on the left) is 94°; the acute angle is 86°.
1 ton = 2000 lbs
t tons = 60,000 lbs
Divide 60,000 by 2000 you get 30
That means
1 ton = 2000 lbs
x 30 x30
-----------------------------
t tons = 60,000 lbs
And so 1 x 30 = 30
So your final answer is
Answer:
48
Step-by-step explanation:
In similar polygons, every side of one polygon is a certain number of times bigger than the corresponding side of the other polygon. This number is the scale factor. Since the perimeter of each polygon is the sum of the lengths of the sides of that polygon, the perimeters also have the same scale factor that the sides do.
For example, if a triangle has 3 sides measuring 5 cm each and a similar triangle has 3 sides measuring 10 cm each, you see that each side of the second triangle is 2 times the length of the corresponding side of the first triangle. The scale factor from the smaller triangle to the larger triangle is 2. Now look at the perimeters. Since 5 + 5 + 5 = 15 and 10 + 10 + 10 = 30, the perimeters are 15 cm and 30 cm, and again, the perimeter of the second triangle is the same 2 times bigger than the perimeter of the first triangle.
Now look at your problem.
The perimeter of the smaller flag to the right is 16.
We see a side on the larger flag is 15, but we don't see the same side length on the smaller flag, so 15 does not help us.
Now we see that a side of the smaller flag measures 4 and the corresponding side of the larger flag measures 12. We divide the larger side length by the corresponding smaller side length to find the scale factor.
12/4 = 3
The scale factor from the smaller flag to the larger flag is 3. The perimeters also have the same scale factor of 3.
perimeter = 3 * 16 = 48
Answer: 48
Answer:
2 miles = 3,520 yards
first we need to find how many yards she's walked already :
400×5=2,000 yards
now subtract :
3,520-2,000= 1,520 yards
Keisha needs to walk 1,520 more yards to complete 2 miles
hope this helped
Step-by-step explanation:
