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vampirchik [111]
3 years ago
13

What is the value of x in the figure? A. 40 B. 70 C. 80 D. 120 E. 150

Mathematics
2 answers:
Marizza181 [45]3 years ago
7 0

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

Ghella [55]3 years ago
3 0

Answer:

E. 150 degrees

Step-by-step explanation:

You might be interested in
Find x from given equations sin30 + 2 cot^2 30 + x cos^2 30= 8+ tan^2 45 + cos 60​
julia-pushkina [17]

Answer

1/2+2×(sqrt3)^2+x.(sqrt3/2)^2=8+1^2+1/2

1/2+2×3+x.3/4=8+1+1/2

1/2-1/2+6+x.3/4=9

x.3/4=9-6

x.3×4=3

x.3=3×4

x.3=12

x=12/3

x=4.

so, the value of x is 4.

hope it helps you.

4 0
3 years ago
Plz help no guessing
Scorpion4ik [409]

The solution to a system of equations is the point that the 2 lines of the graph cross each other.

x = 1 and Y =4

Solution is (1,4)

Answer is C.

8 0
3 years ago
The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in t
Mekhanik [1.2K]

Given:

The shaded sector above covers \dfrac{1}{3} of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

A=\pi r^2

Substituting r=3, we get

A=\pi (3)^2

A=9\pi

It is given that the shaded sector above covers \dfrac{1}{3} of the circle.

The area of shaded sector =\dfrac{1}{3}A

                                             =\dfrac{1}{3}(9\pi)

                                             =3\pi

Therefore, the area of shaded sector is 3π sq. cm.

5 0
3 years ago
Please Help Me!!!!
ra1l [238]
2. WXZ=YXZ
3.  Reflexive property of equality
(if they are angles)-
4. WXZ=YXZ ~~Reason- Congruent angles have equal number of degrees
(if they are triangles-more likely judging by the problem)-
4. Triangle WXZ=YXZ ~ Reason- SAS Congruence Postulate
5 0
3 years ago
The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
baherus [9]

Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

n=2184.91\approx2185  [Rounded to the next whole number.]

Hence, the smallest sample size to estimate the population proportion of campers =2185

7 0
3 years ago
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