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madreJ [45]
3 years ago
7

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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In ΔVWX, the measure of ∠X=90°, WV = 65, XW = 16, and VX = 63. What ratio represents the tangent of ∠V?
djyliett [7]

Answer:

tanV=  adjacent /opposite  =  

\frac{16}{63}

​

Step-by-step explanation:

4 0
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

12x - 10y = 60, when x = 0,

12(0) - 10y = 60

-10y = 60

y = 60 / (-10)

y = -6

hence the coordinate of the y - intercept is (0,-6)

7 0
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

Answer:40%+5%=45%
3 0
3 years ago
Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

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) } \,    <em>the bottom of the integral is -2 </em>

= \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


3 0
3 years ago
Complete the following <br> a) 3/5 = ?/20<br><br> b) ?/6 = 25=30
vlada-n [284]

Answer:

a) 3/5=12/20

b)5/6=25/30

8 0
3 years ago
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