Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u></h3>
(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Segment JI is a midsegment (given). So that means point J is a midpoint of segment HF. The midpoint cuts HF into two equal pieces. Those two pieces are HJ and JF. Therefore, HJ = JF
Using substitution, we can plug in the given expressions that the diagram shows. Then we can solve for x
HJ = JF
2x-3 = x+2
2x-3+3 = x+2+3
2x = x+5
2x-x = x+5-x
x = 5
Now that we know x = 5, use this to find the length of HG
HG = 11*x + 5
HG = 11*5 + 5
HG = 55 + 5
HG = 60
So HG is 60 inches long, which is the final answer
Note: 60 inches = 5 ft
Answer:
B) (-2, -4)
Step-by-step explanation:
the x-axis is the horizontal axis so (-2,4) reflected over it keeps the point two units away from the x-axis and 4 units away from the y-axis
Answer:
D
Step-by-step explanation:
When functions are transformed there are a few simple rules:
• Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
• Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
• Multiplying the function by a number less than 1 compresses it towards the x-axis.
• Multiplying the function by a number greater than 1 stretches it away from the x-axis.
The parent function is f(f) = |x|. Since it needs to be shifted to the left, use the first rule above which is to subtract from the input inside the absolute value.
f(x) = |x-3|