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AlexFokin [52]
3 years ago
8

PQ is tangent to the circle at C. In the circle, m (The figure is not drawn to scale.)

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

65°

Step-by-step explanation:

From the figure we can see a circle.

It is given that, measure of arc AD = 80°  therefore m<ACD = 80/2 = 40°

Also m<D = 75°

<u>To find the measure of <DCQ</u>

We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.

Here m<DCQ = m<CAD

By using angle sum property,

m<CAD + m<ACD + m<D = 180

m<CAD + 40 + 75 = 180

m<CAD + 115 = 180

m<CAD = 180 - 115 = 65°

Therefore m<DCQ = m< CAD = 65°

The correct answer is third option.

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Three-fourths was subtracted from a number, and then 5/4 was added to the result. The sum was -7.
Rasek [7]

Hi there!

Let's start by replacing "a number" by the letter "x" so that we can do an equation and isolate "x" to find your answer :

(x - \frac{3}{4}) + \frac{5}{4} = -7

subtract \frac{5}{4} on each side of the equation


x - \frac{3}{4} = -8.25

add \frac{3}{4} on each side of the equation

x = -7.5


-7.5 - 3/4 = -8.25

-8.25 + 5/4 = <u>-7</u>


So your answer is : Three-fourths was subtracted from -7.5, and then 5/4 was added to the result. The sum was -7.


There you go! I really hope this helped, if there's anything just let me know! :)



7 0
3 years ago
Please answer correctly! I will mark Brainliest!
Pie

Answer:

its 60 all around

Step-by-step explanation:

5 0
3 years ago
What is the perimeter of a triangle measuring 3 on each side?
ANTONII [103]
Add them all up.
A triangle has 3 sides, and you said each side is 3. So:
3+3+3 = 9
8 0
3 years ago
Read 2 more answers
A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?
schepotkina [342]
The answer is B(11, 2sqrt(12) )
proof

the main equation of the circle is   (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center 
so if the center is the origin, it is O(0,0), and the equation becomes
<span>  (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write 
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13

and  for <span>B(11, 2sqrt(12) )     </span>11²+  (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
3 0
3 years ago
The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k
Inga [223]

Answer:

j=4\\k=10

Step-by-step explanation:

8x^3 - 125

\left(2x\right)^3-5^3

Use this formula:

x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)

Where,

x=2x\\y=5

Substitute in the values.

\left(2x\right)^3-5^3=\left(2x-5\right)\left(2^2x^2+5\cdot \:2x+5^2\right)

\left(2x-5\right)\left(4x^2+10x+25\right)

4 0
3 years ago
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