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notsponge [240]
3 years ago
7

How do you solve for x and y. Thanks!! Kinda urgent sorry..

Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0

Answer:

• For x (Acute angle property)

{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\  \\ { \rm{8x + 40=180}} \\  \\ { \rm{8x = 140}} \\  \\ { \boxed{ \underline{ \rm{ \:  \: x =17.5  \:  \: }}}}

• For y ( Interior angle sum of triangles )

{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\  \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\  \\ { \rm{y +145 = 180 }} \\  \\ { \boxed{ \underline{ \rm{ \:  \: y =  35 \:  \: }}}}

ikadub [295]3 years ago
3 0

Answer:

x= 17.5

y= 35

Step-by-step explanation:

Steps are in attachment.

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An agency has started charging a user fee to park at selected trailheads and​ cross-country ski lots. Some users object to this​
Nesterboy [21]

Answer:

Users who park at the selected trailheads and​ cross-country ski lots. ; Convenience sampling

Step-by-step explanation:

A) The population of interest:

The population of interest should include the concerned individuals which would be those who park at the selected trailheads and cross-country ski lots.

B) By sampling the first 50 users encountered at each fee areas shows that the researcher prioritizes ease or convenience while choosing samples from a population. The first 50 fee users represents the most easily accessible users. Hence, the reason the adopted sampling method is called convenience sampling.

3 0
3 years ago
What is the population in 2020 of a place that has a population of 4 million people in 2011 and is growing at a rate of 1.3%?
Stolb23 [73]

Answer:

370 million

Step-by-step explanation:

In the 10 years from 2000 to 2010, the population was multiplied by the factor ...

100% + 9.6% = 109.6% = 1.096

In the next 20 years from 2010 to 2030, the population will be multiplied by that factor twice, if it grows at the same rate:

2030 population = (308 million)·(1.096²) ≈ 370 million

5 0
3 years ago
FIND the value of x. DO NOT POST ANY FILES
spayn [35]

Answer:

Step-by-step explanation:

The tangent segment is perpendicular to the diameter, so the triangle is a right triangle (not just based on its appearance).  A property of circles is:  a tangent is perpendicular to the radius drawn to the point of tangency.

In the right triangle, one leg has length 12.6, and the hypotenuse has length 21.

Apply the Pythagorean Theorem:  (leg)^2 + (leg)^2 = (hypotenuse)^2

Oh, and the diameter has length 2x!

(2x)^2+12.6^2=21^2\\\\4x^2+158.76=441\\\\4x^2=282.24\\\\x^2=70.56\\\\x=\sqrt{70.56}\\\\x=8.4

7 0
3 years ago
Explanation and answer please
Over [174]

Answer:

$41.96

Step-by-step explanation:

30% of 59.95 is 17.99 (rounding to the nearest hundredth place since it was 17.985)

subtract 17.99 since it is the sale (30%)

59.95 - 17.99 = 41.96

the cd is worth $41.96 on sale for 30% off.

5 0
2 years ago
Apply the distributive property to create an equivalent expression −9⋅(5j+k)=
Dvinal [7]

Answer:

-45j - 9k

Step-by-step explanation:

Multiply -9 and 5j first to get -45j

Multiply -9 and k to get -9k

4 0
3 years ago
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