Answer:
75 mm^2
Step-by-step explanation:
use pythageron theorem to find the area of the triangle
7^2=5^2+b^2
b=4.489mm
multiply the of b by the height (5mm) to get the area. usually for the area of a triangle you divide by two, but because there is an identical triangle on the other side, it will be doubled, so dividing it by 2 is redundant.
4.489*5 = 24.49mm^2
Make a rectangle in the middle of the shape, creating a triangle on the right, like they did on the left. That right triangle is included in the calcualtion above. the rectangle is base *height. The base is 15 - b which was 4.489. therefore the rectanlge is
5*10.1 = 50.5mm^2
add the areas together: 50.5 +24.49 = 75 mm^2
-16 and -1 multiply to be 16, but add to be -17
Answer:
x = 3
Step-by-step explanation:
given
4(x - 8) + 10 = - 10 ← subtract 10 from both sides
4(x - 8) = - 20 ← divide both sides by 4
x - 8 = - 5 ← add 8 to both sides
x = 3
Answer:
(2/3) x + 17
Step-by-step explanation:
One way we can solve this is to start at x and to work from there.
Since x represents the number of baseball cards that Barry's brother has, and the closest phrase to it is "two-thirds of the number of cards", we can start by writing that as "2/3 of x", or (2/3) * x.
Next, we have "17 more than two-thirds of ...". We have 17 more than the number we just got, so we have 17 more than (2/3) * x = 17 + (2/3) * x = (2/3)*x + 17 as our answer
