9514 1404 393
Answer:
x = 7
Step-by-step explanation:
10.5 maps to x with a scale factor of 2/3:
x = 10.5 × 2/3
x = 7
Answer:
35
Step-by-step explanation:
So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.
So we know one equation to solve is:
x+x+35=180 where x is the base angle in the left triangle picture.
Combine like terms:
2x+35=180
Subtract 35 on both sides:
2x=180-35
Simplify:
2x=145
Divide both sides by 2:
x=72.5
So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.
So we know that 72.5+72.5+h=180.
Combine like terms:
145+h=180
Subtract 145 on both sides:
h=180-145
Simplify:
h=35
This equation is telling you to subtract the value of f(x) from the value of g(x).
f(x)= x + 2
g(x) = 3x + 5
so x + 2 - 3x -5 = -2x-3
The answer to your question is option "D"
Answer:
50
Step-by-step explanation:
So you can think of this by grouping it like this:
(1-2) + (3-4) + (5-6) + ... + (97-98) + 99
which is equal to: (-1) + (-1) + (-1)... + (-1) + 99
(each group is equal to -1, and 99 won't have a pair since it's the last one)
then, find how many groups of -1 there are:
the groups start at 1 and end at 98, but there are two in each group, so 98/2 = 49. this means there are 49 groups.
so now, you know that there are 49 -1s, so 49 * (-1) = -49.
finally, you can't forget the extra 99 that didn't have a pair, so -49 + 99 = 50.
