Answer:
D
Step-by-step explanation:
These two triangles are similar triangles. The two angles marked are the same and the two angles at the intersection where you see the square are also the same, making it clear that the last angle must be the same as well.
Therefore,
length 8 from the top triangle is similar to length 6 on the bottom triangle,
length 10 from the top is similar to b on the bottom triangle,
length 6 from the top is similar to a on the bottom.
To find the ratio of similarity, you would compare the length 8 to length 6, and divide them. 8/6 = 1.33333
Now that you've found the proportionality constant, you divide the other two lengths on the top triangle with the constant to get <em>b </em> and <em>a</em>.
b = 10/1.3333 = 7.5
a = 6/1.3333 = 4.5
Therefore, the answer is D: a = 9/2, b = 15/2.
Answer:
a) v = 0
b) b = 7 / 6
c) a = any number
Step-by-step explanation:
a) 7(2+5v)=3v+14
7 x 2 + 7 x 5v = 3v + 14 .... distributive
14 + 35v = 3v + 14
35v - 3v = 14 - 14
32v = 0
v = 0 ...... only v value can fit
b) -3 (3-6b)=6b+5
-9 + 18b = 6b + 5
18b - 6b = 5 + 9
12b = 14
b = 14 / 12 = 7 / 6
c) 2 (a-2)=2a-4
2a - 4 = 2a - 4
2a -4 + 4 = 2a -4 + 4
2a = 2a
a = a ........ a cab be any number
Answer:
- baseball: 5 ounces
- basketball: 20 ounces
Step-by-step explanation:
Let "e" represent the weight of a baseball, and "k" represent the weight of a basketball, all weights being in ounces. Then the given information can be summarized as ...
8e +2k = 80
5e +3k = 85
We can divide the first equation by 2 and subtract 4e to get ...
k = 40 -4e
This can be substituted into the second equation to give ...
5e +3(40 -4e) = 85
-7e +120 = 85 . . . . . . . simplify
35 = 7e . . . . . . . . . . . . add 7e-85
5 = e . . . . . . . . . . . . . . divide by 7
k = 40 -4·5 = 20 . . . . . find k using the above equation
The weight of a baseball is 5 ounces; a basketball, 20 ounces.
Answer:
56
Step-by-step explanation:
Answer:
x = 135
Step-by-step explanation:
The two angles form a straight line so their sum is 180
x+2 + 43 = 180
Combine like terms
x+45 =180
Subtract 45 from each side
x+45-45 =180-45
x = 135