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nataly862011 [7]
3 years ago
10

M<2, M<3 (find the measure of each angle)

Mathematics
2 answers:
Shkiper50 [21]3 years ago
5 0
One of the triangles (that on the left, top) has 2 equal sides, and thus is isosceles.  The angle immediately adjacent to and to the right of 110 degrees is 180-110 degrees, or 70 degrees, which means that angle 1 is also 70 degrees.  The remaining angle is 180 degrees less 2(70 degrees), or 40 degrees; thus, angle 2, immediately adjacent to and to the right of this 40 degree angle, is 180-40, or 140 degrees.  The triangle to the right and below the horiz. line has angle 40 degrees (using the principle of vertical angles); thus, angle 3 is 180-(40+90) degrees, or 50 degrees.
kari74 [83]3 years ago
4 0
1st triangle (left)
This is an isosceles triangle.
1) The angle near 110⁰ is (180-110)= 70⁰.
2)m ∠ 1 = 70⁰, because this triangle is isosceles.
3) (180 - m∠2)

Sum of three angles
70 + 70 + 180 - m∠2 =180
70+ 70 - m∠2 = 0
m∠2 = 140⁰

Second triangle (right)
1) (180 - m∠2)
2) m∠ 3
3) 90⁰

Sum of three angles
180 - m∠2 +m∠3+90 = 180
- 140 +m∠3+90 = 0
m∠3 = 50⁰

Answer:
m ∠ 1 = 70⁰,
m∠2 = 140⁰,
m∠3 = 50⁰.



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4 0
3 years ago
The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) → x + 2y = 15 (4x – 8y = 12) →
Ket [755]

Answer:

x+2y=12-------(1)

x-2y=3---------(2)

Adding equations 1 and 2

we get

2x=18

x=9

Equation 1

9+2y=15

2y=15-9

2y=6

y=3

The solution of the given system is x=9, y=3

Step-by-step explanation

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3 years ago
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pshichka [43]

Answer:

Step-by-step explanation:

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M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1) So the "new" line will go through this point.

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3 0
3 years ago
Read 2 more answers
The marginal profit in dollars on Brie cheese sold at a cheese store is given by Upper P prime (x )equals x (60 x squared plus 9
blondinia [14]

Answer:

Part A:

P(x)=15x^4+30x^3-50

Part B:

P(4)=$4270

Step-by-step explanation:

Part A:

In order to find the profit function P(x) we have to integrate the P'(x)

P'(x)=x(60x^2+90x)

P'(x)=60x^3+90x^2

\int\limits {p'(x)} \, dx =\int\limits {60x^3+90x^2} \, dx

P(x)=15x^4+30x^3+C

when x=0, C=-50

P(x)=15x^4+30x^3-50

Part B:

x=4

P(x)=15x^4+30x^3-50

P(4)=15*4^4+30*4^3-50

P(4)=$4270

Profit from selling 400 pounds is $4270

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Answer:

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Step-by-step explanation:

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