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
inna [77]
2 years ago
14

What is the value of k?​

Mathematics
2 answers:
ELEN [110]2 years ago
4 0

Answer:

10°

Step-by-step explanation:

According remote interior angles, 4k + 5 + 6k + 10 = 115.

10k + 15 = 115

10k = 100

k = 10

Hope this helps :)

Have a nice day!

Marrrta [24]2 years ago
3 0

Answer:

k = 10°

Step-by-step explanation:

      According to the exterior angle theorem, the exterior angle will be equal to the two opposite inside angles added together. It will look like the following, and we solve for <em>k </em>from there.

115° = (4k + 5)° + (6k + 10)°

115° = 4k° + 5° + 6k° + 10°

115° = 6k° + 4k° + 10°  + 5°

115° = 10k° + 15°

100° = 10k°

10° = k

k = 10°

You might be interested in
A child on a merry go round has a linear velocity of 6mph. If the child is sitting 10ft from the center of the merrry go round,
lara31 [8.8K]

Answer:

do u mind helping me for school ?

if so check my latest questions pls ty

Step-by-step explanation:

5 0
2 years ago
In the past, the population proportion of consumers preferring orange juice with no pulp was equation. To test if this populatio
geniusboy [140]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

a) For the null hypothesis,

P = 0.45

For the alternative hypothesis,

P ≠ 0.45

b) For the decision rule, we would reject H0 if 0.1 > p value and accepth H0 if 0.1 < p value

Considering the population proportion, probability of success, p = 0.45

q = probability of failure = 1 - p

q = 1 - 0.45 = 0.55

Considering the sample,

Sample proportion, p = x/n

Where

x = number of success = 52

n = number of samples = 120

p = 52/120 = 0.43

c) We would determine the test statistic which is the z score

z = (p - P)/√pq/n

z = (0.43 - 0.45)/√(0.45 × 0.55)/120 = - 0.44

Recall, population proportion, P = 0.45

The difference between sample proportion and population proportion(P - p) is 0.45 - 0.43 = 0.02

Since the curve is symmetrical and it is a two tailed test, the p for the left tail is 0.45 - 0.02 = 0.43

the p for the right tail is 0.45 + 0.02 = 0.47

These proportions are lower and higher than the null proportion. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area below the test z score in the left tail 0.3336

We would double this area to include the area in the right tail of z = 0.44 Thus

p = 0.3336 × 2 = 0.67

d) Since alpha, 0.1 < than the p value, 0.67, then we would fail to reject the null hypothesis. Therefore, at a 1% level of significance, we do not have enough evidence to reject the​ null hypothesis

4 0
3 years ago
What is 1 7/9 - 4/9?
Lera25 [3.4K]
1 7/9 - 4/9

Convert 1 7/9 to an improper fraction:

16/9 - 4/9

Subtract the numerators together:

12/9

Convert to a whole number:

1 1/3
7 0
3 years ago
Read 2 more answers
Expand the following:<br> a) 3(x + 5)<br> b) 4(x-4)<br> c) 2(5x + 1)<br> d) 7(x-9y)
Tema [17]

Answer:

<h3>a. 3x+15</h3><h3>b. 4x-16</h3><h3>c. 10x+2</h3><h3>D. 7x-63y</h3>

solution,

a. \: 3(x + 5) \\  \:  \:  = 3 \times x + 3  \times 5 \\  \:  \:  = 3x + 15

b. \: 4(x - 4) \\  \:  \:  = 4 \times x - 4 \times 4 \\  \:  \:  = 4x - 16

c. \: 2(5x + 1) \\  \:  = 2 \times 5x + 2 \times 1 \\  \:  \:  = 10x + 2

d . \: 7(x - 9y) \\  \:  = 7 \times x - 7 \times 9y \\  \:  \:  = 7x - 63y

Hope this helps..

Good luck on your assignment..

8 0
3 years ago
Read 2 more answers
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z? Z= (6,-9)
Nitella [24]

Answer:

Step-by-step explanation:

Rule for 180 rotation: (x,y) becomes (-x,-y)

So (6,-9) becomes (-6,9)

5 0
3 years ago
Other questions:
  • What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?
    10·2 answers
  • Please help me out........ :)
    15·1 answer
  • When a cube with sides numbered one through six is roll one time what is the probability of rolling a four or greater?
    11·2 answers
  • 2/3 of the cost of the sweater is $18
    9·1 answer
  • Is my answer correct?
    10·2 answers
  • (8 + 2)2 + (6 - 4) x 3?
    15·1 answer
  • Y
    7·1 answer
  • Which expression could be used to find the value of x in the diagram WILL MARK BRAINLIEST
    15·1 answer
  • The Circumference of a circle is 43.96 inches, What is the circles radius? What is the circles diameter?
    8·2 answers
  • Select all of the values of x that are solutions to 17-7x&gt; 3(10x-4) + 61.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!