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3 years ago

In a triangle, two of the angles measure 57° and 63°. Find the measure of the third angle

Mathematics

2 answers:

velikii [3]3 years ago

3 0

60 degrees is the third angle

Dennis_Churaev [7]3 years ago

3 0

57 +63 = 120 so 180 -120 = 60 result the third angle has a measure of 60 degrees

hope this will help you

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What is the slope of the line that contains these points? x| -7. -6. -5. -4 ----------------------------------------------------

zepelin [54]

Answer:

Step-by-step explanation:

Given the line containing the points.

x | -7. -6. -5. -4

y | 21. 17. 13. 9

The slope of the line is expressed as m = Δy/Δx = y₂-y₁/x₂-x₁

Using the coordinates y (21, 17) and corresponding value of x(-7, -6)

y₁ = 21, y₂ = 17 x₁ = -7, x₂ = -6

Substituting the values into the formula for calculating the slope, we have;

m = Δy/Δx = 17-21/-6-(-7)

m = -4/-6+7

m = -4/1

m = -4

<em>Hence the slope of the line that contains these points is -4</em>

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3 years ago

3 (x - 3) + x (r + 4)

docker41 [41]

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

7 0

3 years ago

Really confused and am on final attempt!

Flura [38]

Answer:

Step-by-step explanation:

the legs of a 30-60-90 triangle are 1 and $\sqrt{3}$ , while the hypotenuse is 2.

the ratio of the legs is therefore 1 : $\sqrt{3}$ → C

3 0

3 years ago

(15 points)Please help out if you can!

Levart [38]

Answer:

The maximum is -3

Step-by-step explanation:

A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.

The vertex of the equation is (-7,-3)

So, the maximum y value is -3

8 0

3 years ago

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total

Katarina [22]

Answer:

t-shirts: 2790

profit: $12209

Step-by-step explanation:

Given the function:

p(x) = -x³ + 4x² + x

we want to maximize it.

The following criteria must be satisfied at the maximum:

dp/dx = 0

d²p/dx² < 0

dp/dx = -3x² + 8x + 1 = 0

Using quadratic formula:

$x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)}$

$x = \frac{-8 \pm \sqrt{8^2 -4(-3)(1)}}{2(-3)}$

$x = \frac{-8 \pm 8.72}{-6}$

$x_1 = \frac{-8 + 8.72}{-6}$

$x_1 = -0.12$

$x_2 = \frac{-8 - 8.72}{-6}$

$x_2 = 2.79$

d²p/dx² = -6x + 8

d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0

d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0

Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.

Replacing into profit equation:

p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209

that is, $12209

3 0

3 years ago