1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuri [45]
3 years ago
6

How do you find the value of x in each of these questions?

Mathematics
1 answer:
maria [59]3 years ago
8 0
You make use of the relationships between angles in a circle, and the relationships between angles in a triangle. You are expected to know or have ready reference to the necessary relationships.

Upper Left.
.. x is the base angle of an isosceles triangle whose apex angle is twice 63°.
.. x = 27°

Upper Right.
.. x is supplementary to 73°.
.. x = 107°

Lower Left.
.. x is complementary to 50°.
.. x = 40°

Lower Right.
.. x is supplementary to twice the angle partially shown at the right side of the image. (The central angle between the radii to the tangent points is twice the angle partially shown. The angle to the radius at each point of tangency is 90°, and the sum of the 4 angles in the quadrilateral is 360°. Hence the relationship described in the first sentence.)
You might be interested in
Ben walked 2/5 mile.Tonya walked 1/4 mile.What fraction of a mile did they walk in total?
sesenic [268]

First, find a common denominator (the bottom number) Then add the tops as usual. Four and five have a common denominator of 20 so: 8/20+5/20=13/20



4 0
4 years ago
Read 2 more answers
To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

8 0
3 years ago
What is the product of −2 1/4 and 2 1/2?
Alexeev081 [22]

Answer:

-5 5/8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Deshaun took 2 5/8 hours to clean the bathroom. Then took 1/4 hours to clean the den . How much total time did deshaun take to c
natulia [17]

Answer:

2.875 hours 2 5/8 plus 1/4 equals 2.875

7 0
3 years ago
What are two other names for ray CD?
Masja [62]
<span>Naming of rays Rays are commonly named in two ways: By two points. In the figure at the top of the page, the ray would be called AB because starts at point A and passes through B on it's way to infinity. Recall that points are usually labelled with single upper-case (capital) letters. There is a symbol for this which looks like this: AB This is read as "ray AB". The arrow over the two letters indicates it is a ray, and the arrow direction indicates that A is the point where the ray starts. By a single letter. (I have not seen this done.) The ray above would be called simply "q". By convention, this is usually a single lower case (small) letter. This is normally used when the ray does not pass through another labeled point.</span>
6 0
3 years ago
Other questions:
  • At noon, the shadow of a flagpole is 10 feet long. At the same time, the shadow of a 140-foot tall building is 60 feet long. Wha
    7·1 answer
  • Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than
    14·2 answers
  • What is the surface area of a square pyramid that has a base length of 5 inches and triangular faces that are 9 inches tall
    7·1 answer
  • Solve 6x - 7y= 16 for y.
    7·2 answers
  • Please help! I will give you brainliest !
    13·1 answer
  • 3000 exercise books are arranged into 3 piles. The first pile has 10 more books than the second pile. The number of books in the
    6·1 answer
  • There are four cups of milk how many ounces of milk are in 4 cups (8 oz in a cup)
    6·2 answers
  • write the equation of the line that passes through the points (1,6) and (9,-8). put your answer in fully reduced slope form, unl
    11·1 answer
  • There were 7 cats and 3 cats ran away how many are left?
    8·2 answers
  • A rectangle has side lengths, L and W, and a diagonal, d.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!