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ValentinkaMS [17]
3 years ago
5

What is the measure of angle 7?

Mathematics
1 answer:
gladu [14]3 years ago
6 0

Answer: 95°

Step-by-step explanation: We are given information for Angles 1 and 4, which happen to be vertical angles, meaning they are congruent. Because of this, we can say 3x+10=4x-15, therefore x=25. Angles 1,2,3 and 4 must add up to 360°, and since we know angles 1 and 4 are 85° (3*25 + 10 = 85), we can find angles 2 and 3. 360° - 85° - 85° = Angle 2 + Angle 3. Angle 2 + Angle 3 = 190, and because Angles 2 and 3 are vertical angles and therefore congruent, we can divide 190 by 2 and get that Angles 2 and 3 equal 95°. Because lines b and c are parallel, any corresponding angles created by a transversal are congruent. This basically means Angles 3 and 7 must be congruent, therefore Angle 7 = 95°

Congruent - same meaning as equal

Vertical Angles - each of the pairs of opposite angles made by two intersecting lines.

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There are 15 students in a social studies class. Two students will be selected to present their term projects today. In how many
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Given:
15 students
2 students must be chosen.
No repetition, no order

This is a combinations problem. We use this formula: n! / (n-r)!(r!)

n = 15 ; r = 2

15! / (15-2)!(r!) ⇒ 15! / 13! * 2! = 105 
5 0
2 years ago
F(40)=0.015(40)+56.53
Tems11 [23]

Answer:

F(40)=57.13

Step-by-step explanation:

0.015(40)=.6

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6 0
2 years ago
What single percentage change is equivalent to a 7% decrease followed by a 12% increase?
dsp73

Answer:

<h2>4.16%</h2>

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decrease 7%

100 - 7% = 93

increase 12%

93 + 12% = 104.16

104.16 - 100 = 4.16%

8 0
2 years ago
If I have line segmants with the measurements 3in, 5 in and 8 in; can I make a triangle?​
Dimas [21]

Answer:

Equilateral Triangle

Side a = 1

Side b = 1

Side c = 1

Angle ∠A = 60° = 1.0472 rad = π/3

Angle ∠B = 60° = 1.0472 rad = π/3

Angle ∠C = 60° = 1.0472 rad = π/3

C=60°B=60°A=60°b=1a=1c=1

Area = 0.43301

Perimeter p = 3

Semiperimeter s = 1.5

Height ha = 0.86603

Height hb = 0.86603

Height hc = 0.86603

Median ma = 0.86603

Median mb = 0.86603

Median mc = 0.86603

Inradius r = 0.28868

Circumradius R = 0.57735

Vertex coordinates: A[0, 0] B[1, 0] C[0.5, 0.86603]

Centroid: [0.5, 0.28868]

Inscribed Circle Center: [0.5, 0.28868]

Circumscribed Circle Center: [0.5, 0.28868]

Step-by-step explanation:

6 0
2 years ago
Is there a rational number between 1/7 and 1/8
telo118 [61]
1/7 = 2/14 =  <span> <span> <span> 0.1428571429 </span> </span> </span>
1/8 = 2/16 =  0.125
2/15 = <span> <span> <span> 0.1333333333 </span> </span> </span>
So, 2/15 is between 1/7 and 1/8
(and there are an infinite amount of numbers between 1/7 and 1/8)


5 0
3 years ago
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