Answer:
116 square cm
Step-by-step explanation:
Find the area of each shape
7*10=70
4*4=16
1/2(15)*4=30
70+16+30=116
X = 8
y = 40
the two base angles are equal to each other so you would do 5x = 40 and solve for x
a triangle has 180 total degrees. 40*2 = 80
180 - 80 = 100
2y + 20 = 100
2y = 80
y = 40
Y = -4/3x + 5....the slope here is -4/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the original slope and change the sign. So we have -4/3....we flip it and it becomes - 3/4....we change the sign and it becomes 3/4. So the perpendicular line will have a slope of 3/4.
y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub into the formula and find b, the y int
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
-31/4 = b
so ur perpendicular equation is : y = 3/4x + (-31/4) which is written as :
y = 3/4x - 13/4 <== ur answer
Answer:
option c and d
Step-by-step explanation:
Answer:
<em>99,595</em>
Step-by-step explanation:
We are looking at division and remainders. What do you do when a remainder is present? You usually add it when multiplying to get the final number, but since we are doing this backwards, we have to subtract the numbers divided by the remainder.
25 - 20 = 5
30 - 25 = 5
40 - 35 = 5
Look for the LCM (Least Common Multiple) for 20, 30, and 40 :
600
Now for the equation :
n + 5 = Multiple of all numbers and LCM =
n + 5 = 166 * 600 = 99,600
n = 99,600 - 5 = <u>99,595</u>