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klio [65]
2 years ago
6

Find x+y+z from the following figure​

Mathematics
1 answer:
hoa [83]2 years ago
8 0

Step-by-step explanation:

the inner top vertex angle seems to be 90°, so x = 90° too. all angles around a single point in one side of a line are in total 180°.

also, remember, all angles inside a triangle always sum up to 180°.

so, the third inner angle of the triangle is

180 - 90 - 40 = 50°.

that makes z = 180 - 50 = 130°

and y = 180 - 40 = 140°.

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makkiz [27]

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5 0
3 years ago
If 25% of an amount is 10% What is<br>75%​
Katena32 [7]

Answer:

30%

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Step-by-step explanation:

8 0
3 years ago
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What are the solutions to the system?
artcher [175]

Answer:

A

Step-by-step explanation:

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4 0
3 years ago
in a coordinate plane the midpoint of AB is (4,-3) and A has coordinate (1,5). if B has coordinate (x,y) find the value x+y​
Aloiza [94]

Answer:

Please check the explanation.

Step-by-step explanation:

The midpoint (a, b) of line joining points (x₁, y₁) and (x₂, y₂)

a = x₁ + x₂ / 2

b = y₁ + y₂ / 2

Given that the midpoint of AB is (4, -3).

i.e. (a, b) = (4, -3)

Given that A has coordinate (1, 5).

i.e. (x₁, y₁) = (1, 5)

We have to determine the coordinates of B.

i.e. (x₂, y₂) = B

Thus,

4 = (1 + x₂)/2

(1 + x₂) = 4 × 2

1 + x₂ = 8

x₂ = 7

and

-3 = (5 + y₂)/2

(5 + y₂) = -3 × 2

5 + y₂ = -6

y₂ = -11

so (x₂, y₂) = (7, -3) = B

Thus, the coordinates of B = (x₂, y₂)  = (7, -3)

Therefore,

x₂ + y₂ = 7 + (-3)

          = 7 - 3

          = 4

Hence, the value of x₂ + y₂ = 4

4 0
3 years ago
. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how
Vladimir [108]

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

h=-16t^{2} +vt+s

when the hawk reaches the rabbit the value of h is equal to zero

we have

v=55\ ft/sec

s=60\ ft

substitute

0=-16t^{2} +55t+60

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

8 0
3 years ago
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