Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
Answer:
(4, -5)
Step-by-step explanation:
Start from the origin, (0, 0). Go 4 units right and 5 units down.
K(4, -5)
Answer:
answer a
Step-by-step explanation:
< 
- Let's isolate
on one side of the equation. Ignore the inequality for now. We'll deal with that later.

- Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating
, but if this confuses you, just do your math and keep the inequality there.
< 
- On a number line, this would include every number <em>less than </em>
, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number <em>greater than </em>
. But, how do we decide between answers a and c? - If a line has point at its beginning,
, then that means that every number <em>less than or equal to</em> [ ≤ ] 6 is being shown, but our equation just says <em>less than </em>[ < ] 6, so answer a is our correct answer.
Here is the equation:

Since both decimals are negative, the answer will be positive.
- Negative times Negative = Positive
Divide both sides by -3.9 to leave the variable alone:

r is equal to 4 → r = 4
Answer:
x = 15
Step-by-step explanation:
We want to solve for x in 3*(2x + 5) = 3x + 4x
First simplify.
3*(2x + 5) = 7x
Next, distribute the 3.
3*2x + 3*5 = 7x
6x + 15 = 7x
15 = 7x - 6x
15 = x