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Snezhnost [94]
3 years ago
13

Given lines p and q are parallel, find the value of x that makes each diagram true.

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

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Find the value of c, rounded to the nearest tenth <br> A. 11<br> B. 14.3<br> C. 37.6<br> D. 7.4
Helga [31]

Answer:

D. The correct value of  c  = 7.4

Step-by-step explanation:

According to Tangent-Secant theorem:

"When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment."

Here, the external length of tangent segment = 10

Also, the length of internal segment  is 14 and c.

So, by the SECANT THEOREM:

(10)^2  = 14 \times c\\\implies c = \frac{100}{14} = 7.14

or, c  = 7. 1428

Now, rounding off the value of c = 7. 14 to the nearest tenth, we get

c = 7. 4

Hence the correct value of  c  = 7.4

8 0
3 years ago
Read 2 more answers
Can there be more than one coefficient in a expression?
Lorico [155]

Answer:

yes

Step-by-step explanation:

take for example

in the expression: 3x²+5x+2=0,

the coefficients here are +3 and +5 while +2 is a constant. +3 and +5 are coefficients of the variables x² and x respectively

4 0
3 years ago
Write the equation of the parabola that has the vertex at point (3,−12) and passes through the point (0,6).
lana [24]

Answer:

y = 2(x-3)^2 -12

y = -4/9(x-2)^2 +7  bonus

Step-by-step explanation:

The vertex form of a parabola is

y = a(x-h)^2 + k  where (h,k) is the vertex

y = a(x-3)^2 - 12

We have one point given (0,6)

6 = a (0-3) ^2 -12

6 = a (-3)^2 -12

6 = 9a-12

Add 12 to each side

6+12 = 9a

18 = 9a

Divide each side by 9

18/9 = 9a/9

a=2

y = 2(x-3)^2 -12

We follow the same steps for the bonus

y = a(x-2)^2 +7

Substitute the point into the equation

3 = a (-1-2)^2 +7

3 =a (-3)^2 +7

3 = 9a +7

subtract 7 from each side

3-7 = 9a +7-7

-4 = 9a

Divide by 9

-4/9 =a

y = -4/9(x-2)^2 +7

3 0
3 years ago
Read 2 more answers
Radius of x^2+y^2=25
SOVA2 [1]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
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Been waiting for half an hour pls help me
Stella [2.4K]

Answer:

13.7 cm

Step-by-step explanation:

  1. there are 360° in a circle and in this image, we can see 90°+90°+66.4°=260.4
  2. since we know that 360°-260.4°=99.6°
  3. The angle measure of arc AD is 99.6°

Now that we covered that, we can use the arc length formula in order to find the length of arc AD.

  1. arc length = 2πr(Θ/360°)
  2. 2π(7.9)(99.6°/360°) = 13.7329
  3. rounded to the nearest tenth = 13.7
3 0
3 years ago
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