First, find the ratio between the two polygons. Lets take segment MG and TV since they are congruent. MG is 4, TV is 3. The ratio of MG to TV is 4:3. We can write it as 4/3. Since other arts are congruent as well, then NK is congruent to PR, and has a ratio of 4:3. This means that (3x-2)/(x+4) is equal to 4/3. Now solve for x
(3x-2)/(x+4)=4/3
3(3x-2)=4(x+4) ---cross multiply
9x-6=4x+16
9x-4x-6=4x-4x+16 ---subtract 4x from both sides
5x-6=16
5x-6+6=16+6 ---add 6 on both sides
5x=22
5x/5=22/5 ---divide 5 on both sides
x=22/5
Answer:
(15x- 20) x squared
Step-by-step explanation:
Answer:
She would collect $27.
Step-by-step explanation:
A dozen means that it is a set of twelve items, so in order to find the amount of cupcakes she sold, you have to multiply 12 for the number of dozens she baked which was 3:
12*3=36
Now that you know the number of cupcakes she sold, you have to multiply this for the price of each cupcake:
36*$0.75= $27
According to this, the answer is that she would collect $27.
Answer:
326.6 m^2
to nearest tenth.
Step-by-step explanation:
The radius of the flower bed = 1/2 * 22 = 11m
The radius of the whole area included the sidewalk = 11 + 4 = 15 m
So the area of the sidewalk = area of the whole - area of flower bed
= 3.14 * 15^2 - 3.14* 11^2
= 326.6 m^2.