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gogolik [260]
4 years ago
7

Given lines appearing parallel are parallel, ∠7=30°, and ∠10=80°, find the measure of the following angles.

Mathematics
1 answer:
elixir [45]4 years ago
8 0

<7 = 30

<7 = <5  vertical angles

<5 = <3 alternate interior angles

<3 + <2 = 180 straight line

30 + <2 = 180

<2 = 180 -30

<2 = 150


<10 = <12  vertical angles

<11 + <12 = 180

<11 + 80 = 180

<11 = 100

<7+<13+<12 = 180   it forms a triangle

30 + <13 + 80 = 180

110 +< 13 = 180

< 13 = 180-110

< 13 = 70



<13 = <15  vertical angles

< 15 = <17 alternate interior angles

< 17 = <19 vertical angles

< 19 = 70


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Ira Lisetskai [31]

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6 0
3 years ago
A car braked with a constant deceleration of 16ft/s2, producing skid marks measuring 200 feet before coming to a stop. How fast
Llana [10]

Answer:the car was traveling at a speed of 80 ft/s when the brakes were first applied.

Step-by-step explanation:

The car braked with a constant deceleration of 16ft/s^2. This is a negative acceleration. Therefore,

a = - 16ft/s^2

While decelerating, the car produced skid marks measuring 200 feet before coming to a stop.

This means that it travelled a distance,

s = 200 feet

We want to determine how fast the car was traveling (in ft/s) when the brakes were first applied. This is the car's initial velocity, u.

Since the car came to a stop, its final velocity, v = 0

Applying Newton's equation of motion,

v^2 = u^2 + 2as

0 = u^2 - 2 × 16 × 200

u^2 = 6400

u = √6400

u = 80 ft/s

7 0
3 years ago
5 points
Ede4ka [16]

Answer:

7.5in

Step-by-step explanation:

4 0
3 years ago
HELP PLEASE<br><br> Combine like terms to create an equivalent expression.
k0ka [10]
SOLUTION:

= ( 7 / 8 )m + 9 / 10 - 2m - 3 / 5

= - ( 9 / 8 )m + 3 / 10
6 0
4 years ago
Please help if possible thank you
Helga [31]

y =  \frac{3}{2}
5 0
3 years ago
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