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3 years ago

Find the missing angle according to the Triangle Exterior Angle Theorem

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

Answer:

k = 36

Step-by-step explanation:

By exterior angle theorem:

$k \degree + 110 \degree = 146 \degree \\ \\ k \degree = 146 \degree - 110 \degree \\ \\ k \degree = 36\degree \\ \\ k = 36$

Schach [20]3 years ago

5 0

K=36 is the correct answer
Explanation

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djyliett [7]

Answer:

tanV= adjacent /opposite =

$\frac{16}{63}$

Step-by-step explanation:

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3 years ago

What is the x-intercept of the line described by the equation?

DiKsa [7]

Answer:

(0,-6)

Step-by-step explanation:

recall that the y-intercept is simply the point where the line crosses the y-axis at x = 0.

to find the y intercept, we simply substitute x=0 into the equation and solve for y

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3 years ago

There is 40% decreased in price on a sale it is further decreased by 5%,find the total decreased percentage.

VladimirAG [237]

Hope it helps

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3 years ago

Find the area of a plane figure bounded by lines

natulia [17]

Answer: 4.5

Step-by-step explanation:

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1

Now, integrate from x = -2 to x = 1

$\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,$ the bottom of the integral is -2

= $\int\limits^1_2 {x+6-x^{2}-2x-4 } \,$

= $\int\limits^1_2 {-x^{2}-x+2 } \,$

= $\frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,$

= $(\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))$

= $(\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)$

= $\frac{-9}{3} + \frac{3}{2} +6$

= -3 + 1.5 + 6

= 4.5

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3 years ago

Complete the following a) 3/5 = ?/20 b) ?/6 = 25=30

vlada-n [284]

Answer:

a) 3/5=12/20

b)5/6=25/30

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3 years ago