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Mekhanik [1.2K]
2 years ago
7

Find x, y, and z in the figure.

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
4 0

Answer:

Since x + y + z = 180° and z = 90°, y + z = 90°

Thus x + y = z  

Step-by-step explanation:

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What is 37 and 1/2 simplified?
yarga [219]
37 and 1/2 could mean:
37+ (1/2)
37 times 1/2



37+1/2=37 and 1/2 or 37.5

37 times 1/2=37/2=18 and 1/2=18.5
3 0
3 years ago
F divides HJ in the ratio 3:1. If H = (-11,7) and J = (5,3), what are the<br> coordinates of F?
Hatshy [7]

Answer:

The coordinates of HF are (1, 4)

Step-by-step explanation:

The parameters of the line are;

The coordinate of the end points are H = (-11, 7), and J = (5, 3)

The ratio by which the point F divides the line = 3:1

The segments in the line are HF, and FJ

Therefore;

The fraction of the length of HJ that is represented by HF = 3/(3 + 1) × HJ = 3/4 × HJ

HF = 3/4 × HJ

Which gives the coordinates of the point F as follows;

Coordinate of F = (-11 +(5 - (-11))×3/4, 7 + (3 - 7)×3/4) =  (1, 4)

The coordinates of F are (1, 4)

We check the length of HF, from the equation for the length to of a line to get;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

l_{HF} = \sqrt{\left (4-7  \right )^{2}+\left (1-(-11)  \right )^{2}} = \sqrt{\left (-3  \right )^{2}+\left (12  \right )^{2}} = 3\cdot \sqrt{17}

Similarly, we check the length of HJ, to get;

l_{HF} = \sqrt{\left (3-7  \right )^{2}+\left (5-(-11)  \right )^{2}} = \sqrt{\left (-4  \right )^{2}+\left (16  \right )^{2}} = 4\cdot \sqrt{17}

The length of HF = 3·√(17)

The length of HJ = 4·√(17)

Therefore, from HF = 3/4× HJ, we have;

HF = 3/4 × 4·√(17) = 3·√(17)

Therefore, the coordinates of HF are (1, 4)

7 0
3 years ago
Can you guys help me with this one please
PilotLPTM [1.2K]

Answer:

1 to 100,000

Step-by-step explanation:

1 km is equivalent to 100,000 cm.

3 0
3 years ago
What is the perimeter of parallelogram WXYZ
Kruka [31]
Graph? Or diagram? .................
8 0
3 years ago
What is the value of the expression?
Kamila [148]
Must do multiplication first....
-2/5 - 3/7 x 7/10
-2/5 - 21/70 (I'll reduce 21/70)
-2/5 - 3/10
Now you have to find a common denominator and subtract
-35/50 = -7/10......is what I get
7 0
3 years ago
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