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Kazeer [188]
3 years ago
8

Given m1=x° and m2=(x+50)°. find the value of x. then find m1 and m2.

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

x = 65° ∠1 = 65° ∠2 = 115°

Step-by-step explanation:

x + x + 50° = 180°

2x = 180° - 50°

2x = 130°|:2

x = 65°

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Four laps around the track is equal to one mile. It takes Taylor 8 minutes to run 3 laps.
puteri [66]

Answer:

D

Step-by-step explanation:

8x60=480

480÷3=160

160x4=640

640 is 10 Minutes 40 Seconds

6 Miles is 24 Laps

640x6=3840

3840÷60=64

The Answer Will be 64 Minutes.

8 0
3 years ago
Jon is in a raft 100m from the base of a 54m cliff. What is the angle of depression from the he top of the cliff to the raft? Le
kvv77 [185]

Answer:

28.4 degrees

Step-by-step explanation:

In the diagram attached

Height of the cliff, AB=54 m

Distance of the raft to the base of the cliff, AC=100m

We want to determine the angle of depression from the top of the cliff to the raft. This is angle OBA.

\angle OBA = \angle BAC $ (Alternate Angles)\\Therefore, in the right triangle ABC\\\tan A =\dfrac{BC}{AC}\\ \tan A =\dfrac{54}{100}\\\tan A =0.54\\A=\arctan 0.54\\A=28.4^\circ$ (to the nearest tenth)

The angle of depression from the top of the cliff to the raft is 28.4 degrees correct to the nearest tenth.

5 0
3 years ago
Consider the inequality -5(x+7)<-10 Write an inequality representing the solution for x
Naddik [55]
-5(x+7)<-10
-5x-35<-10
+35. +35
-4x<25
both divided by-4
x> -6.25
i flipped the sign because I divided with a negative number. and I hope you can make -6.25 into a fraction, I can't because I don't have a calculator with me :(
7 0
3 years ago
The system of equations y=-3x+5 and y=3x-7 has
maksim [4K]
\displaystyle  \left \{ {{y=-3x+5} \atop {y=3x-7}} \right. \Rightarrow  \left \{ {{y+3x=5} \atop {y-3x=-7}} \right.  \\  ~~~~~~~~~~~~~~~~~~~~~~~~~~~~2y/=-2 \Rightarrow y=- \frac{2}{2} \Rightarrow y=-1 \\ y+3x=5 \\ -1+3x=5 \\ 3x=5+1 \\ 2x=6 \\ x= \frac{6}{2}  \\ x=3
8 0
3 years ago
Read 2 more answers
What is the solution to the equations 2x+3y=6 and x-3y=9
Pachacha [2.7K]

2x + 3y = 6

-2            -2

3y = -2x + 6

Divide by 3 on all sides:

y = -2/3x + 2

Answer - y = -2/3x + 2

x - 3y = 9

-x          -x

-3y = -x + 9

Divide by -3 on all sides:

y = 1/3x - 3

Answer - y= 1/3x - 3

Hope this Helps!!

3 0
3 years ago
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