Answer:
x = 10, y = 30
Step-by-step explanation:
Since this already has a y-value, which is 3x, we will use substitution.
3x + 7x = 10
10x = 10
x = 10
Now that we know x, we can figure out what y is.
y = 3(10)
y = 30
Answer:
x < -3
Step-by-step explanation:
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Answer:
a = 96
Step-by-step explanation:
a / 4 - 5 = 19
We are given an equation with multiple "signs."
Our goal is to get "a" isolated. We first should add 5 to each side. We then get:
a / 4 = 24
We then have to do the opposite of division by multiplying. We multiply 4 on each side (so that the a is isolated) and we then get 24 * 4 which is equal to 96! A is equal to 96.
TO CHECK ANSWER:
You will put your answer (96) into "a" for the original equation. We get 96 / 4 - 5 = 19. We then solve this. We need to use PEMDAS since we have multiple signs. PEMDAS has multiplication and division first, so we need to first divide 96 by 4. We get 24. We then subtract 24 by 5. 24 - 5 = 19. This gives us 19 = 19. 19 IS indeed equal to 19, so this means that our answer is true.
Hope this helps!
Answer:
Step-by-step explanation:
Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:
We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:
We can cross-multiply to get:
and divide by 6 to get
