Answer: 25x+6
Step-by-step explanation:
Answer:
20) MAD = 60°
21) <LPN = 57°
22) Second and third images, XY is the tangent of circle Z
23) x = 11.2
Step-by-step explanation:
20)
<B = <C
11x - 3 = 8x + 15
3x = 18
x = 3
so
<B = <C = 11(3) - 3 = 33 - 3 = 30
mAD = 2(30) = 60
21)
a) <LPN = 1/2(360 - 102 - 144)
= 1/2(114)
= 57°
22)
The tangent to a circle is perpendicular to the radius at the point of tangency.
a)
(7+5)^2 = 7^2 + 10^2
(12)^2 = 49 + 100
144 ≠ 149
First image, XY is not tangent of circle Z
b)
20^2 = 12^2 + (8+8)^2
400 = 144 + 256
400 = 400
Second image, XY is the tangent of circle Z
c)
(11.7 +7.8)^2 = 11.7^2 + 15.6^2
380.25 = 136.89 + 243.36
380.25 = 380.25
Third image, XY is the tangent of circle Z
23)
x^2 = (8.4+5.6)^2 - (8.4)^2
x^2 = 196 - 70.56
x^2 = 125.44
x = 11.2
The hypotenuse is is 9.98 units
<h3>What is Pythagoras theorem?</h3>
The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Given:
Sides are 6.03 units and 7.96 units
Using Pythagoras theorem,
H²=P²+B²
H²= 7.96²+6.03²
= 63.3616+36.3609
= 99.7225
H=9.98 units.
Hence, the hypotenuse is 9.98 units.
Learn more about Pythagoras theorem here:
brainly.com/question/343682
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Answer:
The fraction 1/3 is not equivalent to a a terminating decimal, the fraction is equivalent a number that does not terminate (repeating decimal)
Step-by-step explanation:
we know that
A <u>terminating decimal</u> it's a decimal with a finite number of digits.
A <u>repeating decimal </u>is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending
In this problem we have
1/3=0.33333333...
The digit 3 repeat over and over and over again without ever ending
therefore
The fraction 1/3 is not equivalent to a a terminating decimal, the fraction is equivalent a number that does not terminate (repeating decimal)
Answer and Step-by-step explanation:
Answer is in picture.
We use the cosine trig function (adjacent side over hypotenuse = cos of an angle) to find m.
The angles are split perfectly in half, half of 90, which is 45, so the other angles are 45.
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