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Alex777 [14]
3 years ago
15

Enter your answer and show all the steps that you use to solve this problem in the space provided

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Since the two slant sides have equal length, the triangle is isosceles.

If a triangle is isosceles, the two angles at the base have equal measure.

So, the measures of the angles are 38, x and x. The sum of the angles is 180, so we have

38+x+x=180 \iff 2x=180-38 \iff x=\dfrac{180-38}{2}=71

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The midpoint of a line segment is (4, 2). If one of the endpoints is (-2, 3), what is the other endpoint?
stiks02 [169]
I think it’d be (10, 1)
3 0
2 years ago
Solve the system of equations. x=-2y+1 and x+2y=9. PLEASE SHOW WORK
docker41 [41]

Answer:

N0 solution.

Step-by-step explanation:

x=-2y+1....(1)

x+2y=9....(2)

put equation (2) to equation (1)

-2y+1 + 2y=9

combine

-2y + 2y=9-1

0=8

No solution.

4 0
3 years ago
HELP PLEASE !!!!! A person is on the top of a 60 m tall building. They throw a coin up into the air with a velocity of 15 m/s. H
Anon25 [30]

Answer:

-24.8 m/s

Step-by-step explanation:

Given:

y₀ = 60 m

y = 40 m

v₀ = 15 m/s

a = -9.8 m/s²

Find: v

There are three constant acceleration equations we can use:

y = y₀ + v₀ t + ½ at²

v = at + v₀

v² = v₀² + 2a(y − y₀)

We aren't given the time, so we need to use the third equation, which is independent of time:

v² = v₀² + 2a(y − y₀)

Plug in the values:

v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)

v² = 617 m²/s²

v ≈ ±24.8 m/s

Since the coin is on the way down, the velocity is negative.  So v = -24.8 m/s.

8 0
3 years ago
Solve 2y = 6x + 10 y = 2x + 4
mihalych1998 [28]

Answer:

x =-1

Step-by-step explanation:

\left \{ {{2y = 6x +10} \atop {y = 2x +4}} \right.

replace y by 2x +4 in the first equation

2(2x + 4) = 6x + 10

4x + 8 = 6x + 10

-2x +8 = 10

-2x = 2

x = -1

7 0
3 years ago
Calculate percentage to the nearest 0.1%.
Anna71 [15]

9514 1404 393

Answer:

  a. $4.17

  b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

  m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

  m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

  t : c = 10 : 3

The menu price of the pie slice will be ...

  $1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

  m : c = 7 : 3 ≈ 2.333 = 233.3%

4 0
3 years ago
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