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aleksandr82 [10.1K]
3 years ago
7

Drag and drop the correct angle measures onto the diagram

Mathematics
1 answer:
svlad2 [7]3 years ago
7 0

Answer:

Here you go!

Hope this helps!

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In 1995, Hazel was 25 years older than her son Gary. In 2022, Hazel's age will be 150% of Gary's age. How old were they in 1995?
Kitty [74]
So find the difference between 1995 and 2022 to make it easier
2022-1995=27

so the rephrased question is
when hazel was x years old, she was 25 years older than son gary who was y old at that time (equation is x is 25 more than y or x=25+y)
in 27 years, (this means x+27 and y+27) hazel's age will be 150% of gary's age (x+27= 150% of y+27)
percent means parts out of 100  so 150%=150/100=15/10=1.5
'of' in math means multiply so
the equations are
x=25+y
x+27=1.5(y+27)
subsitute 25+y for x in second euation
25+y+27=1.5(y+27)
add like terms
y+52=1.5(y+27)
I personally dislike decimals to multiply both sides by 2 to make 2 0.5's or 1 (you are technically supposed to distribute or divide both sides by 1.5) so
2y+104=3(y+27)
distribute
2y+104=3y+81
subtract 2y from both sides
104=y+81
subtract 81 from both sides
23=y
subsitute
x=25+y
x=25+23
x=48


Hazel was 48 and Gary was 23 in the year of 1995
5 0
3 years ago
What’s the vertex of this equation?
statuscvo [17]

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

Do you see the h and k in your equation?

-h = -(-2) = 2

We see that k = -4.

Our vertex is (2, -4).

3 0
3 years ago
14-(-5x)+2x-(-32)+4z-2x
castortr0y [4]
-5x + 46 +4z
Combine like terms
-5x + 2x = -3x
-3x + -2x = -5x
14 - (-32) = 46
4z is left alone since it doesn't have a like term.
6 0
3 years ago
M<br> /<br> n<br> (x), x not equal to
azamat

Answer:

In M/n(x) x cannot be 0

Step-by-step explanation:

If any number is divided by 0, then that number is undefined and has no answer, so in math this is always avoided by not dividing with 0.

4 0
3 years ago
|5/14|find the absolute value of 5 of 14 find the absolute value of 5/14
Sunny_sXe [5.5K]
The absolute value of \frac{5}{14} is \frac{5}{14}
3 0
3 years ago
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