answer.
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
Bad White [126]
2 years ago
11

Two angles are complementary. the measure of ∠abc is x° and the measure of ∠dbc is (3x + 10)°. what is the value of x? enter you

r answer in the box.
Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0
This problem can be expressed through the equation:
x+3x+10= 90

To solve it we subtract 10 on both sides
→x+3x=80
Add x and 3x
→4x=80
And divide each side by 4
→x=80/4
→x=20

ANSWER:
20
You might be interested in
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%
IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18

a) P(firm will make at least one hire)

P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32

Also,

P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4

\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9

b) expected value and the standard deviation of the number of hires.

E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58

E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89

7 0
2 years ago
Identify 1 and 2. Select all that apply of the following terms: acute, right, obtuse, adjacent, vertical, complementary, supplem
Grace [21]
Right angle and complementary. this cold be wrong.
4 0
2 years ago
Read 2 more answers
Which cost category in the table shows an example of direct variation?
Rzqust [24]

Answer:

Which cost category in the table shows an example of direct variation? WEED-HAND

The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? Y=63x

What would be the cost for office expenses for 24 months? $1512.00

Step-by-step explanation:

6 0
1 year ago
Read 2 more answers
A plot of land is in the shape of a square. The shaded square inside is covered with gravel. the rest of the square plot is cove
aleksklad [387]
This is how you do the math to get it.

6 0
2 years ago
Read 2 more answers
The heights of fully grown sugar maple trees are normally distributed, with a mean of 87.5 feet and a standard deviation of 6.25
Julli [10]

Answer:

20.33%

Step-by-step explanation:

We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12

They ask us for P (x <86)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd / (n ^ 1/2))

We have all these values, replacing we have:

z = (86 - 87.5) / (6.25 / (12 ^ 1/2))

z = -0.83

With the normal distribution table (attached), we have that at that value, the probability is:

P (z <-0.83) = 0.2033

The probability is 20.33%

6 0
2 years ago
Other questions:
  • A rock is thrown in the air from the edge of a seaside cliff. Its height in feet is represented by f(x) = –16(x^2 – 8x – 9), whe
    8·2 answers
  • A manufacturer wants to double the volume of a 3 in.×2 in.×6 in. 3 i n . × 2 i n . × 6 i n . box, while using as little extra ca
    10·1 answer
  • You work as a dental hygienist, seeing patients for 6 hours each workday. Each of your appointments with a patient takes the sam
    8·2 answers
  • The program recommends a constant intensity for 3 visits,
    10·2 answers
  • 4.5m is ____ % of 90 cm; 90 cm is ____ % of 4.5m
    10·1 answer
  • Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish.
    9·2 answers
  • Jack bought 4 dozen eggs at k10 per dozen. 6 eggs were broken .what percent of his money goes waste?​
    15·1 answer
  • Basic math equations and calculations play an important role in many jobs tasks. If you were working at a grocery store and your
    12·1 answer
  • The larger nail is a dilation of the smaller nail.
    7·1 answer
  • Which step comes last when using the divide-center method to find the trend line on a scatterplot? Approximate the center of the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!