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lesantik [10]
2 years ago
11

The figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.

Mathematics
1 answer:
Mila [183]2 years ago
7 0

We know angle x=y(vertically opposite angles)

Since 3 angles lie on a straight line,

y+60+70=180 (linear pair)

y+130=180

y=180-130

y=50 degrees

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Find the slope of the line passing through the points (-5,2)<br> and<br> (-8,8).
sattari [20]

Answer:

slope = -2

Step-by-step explanation:

(-5,2) (-8,8)

equation to find slope: \frac{y1 - y2}{x1 - x2}

\frac{2-8}{-5+8} = \frac{-6}{3} = \frac{-2}{1} = -2

7 0
2 years ago
The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.
lawyer [7]

Answer:

Step-by-step explanation:

Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.

If |PQ|=2k, then

a2(cosp−cosq)2+b2(sinp−sinq)2=4k2

The coordinates of M are

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4 0
3 years ago
C(x)=x^2+6x+14 find vertex form
nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0
2 years ago
Against the wind a small plane flew 715 miles in 2 hours and 10 minutes. The return trip took only 1 hour and 50 minutes. What w
ZanzabumX [31]

Answer:

  360 mi/h

Step-by-step explanation:

The speed for the outbound trip was ...

  speed = distance/time = (715 mi)/(2 1/6 h) = 330 mi/h

The inbound speed was ...

  (715 mi)/(1 5/6 h) = 390 mi/h

The airspeed of the plane is the average of these two ground speeds, so is ...

  (330 +390)/2 = 360 . . . . mi/h

8 0
3 years ago
Priyanti ate 150 raisins in five days. If she ate 7 more raisins each day than she did the previous day, how many raisins did sh
marta [7]

Answer:

this means she ate an average of 30 raisins each day

so she ate 30 on the third day

so the amount she ate each day is like this

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2. 23

3. 30

4. 37

5. 44

16 + 23 +30 +37 +44=150

8 0
2 years ago
Read 2 more answers
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