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
kolezko [41]
3 years ago
11

AB, CD and EF are straight lines. AB is parallel to CD. Work out the size of angle y

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0

Answer:

y = 108˚

Step-by-step explanation:

2x + 16 = 3x + -12

16 + 2x = 3x + -12

16 + 2x = -12 + 3x

16 + 2x = -12 + 3x

x = 28˚

28 x 3 = 84

84 - 12 = 72

180 - 72 = 108˚

mylen [45]3 years ago
5 0

Answer: 28

Step-by-step explanation:

Simplifying

2x + 16 = 3x + -12

Reorder the terms:

16 + 2x = 3x + -12

Reorder the terms:

16 + 2x = -12 + 3x

Solving

16 + 2x = -12 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

16 + 2x + -3x = -12 + 3x + -3x

Combine like terms: 2x + -3x = -1x

16 + -1x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0

16 + -1x = -12 + 0

16 + -1x = -12

Add '-16' to each side of the equation.

16 + -16 + -1x = -12 + -16

Combine like terms: 16 + -16 = 0

0 + -1x = -12 + -16

-1x = -12 + -16

Combine like terms: -12 + -16 = -28

-1x = -28

Divide each side by '-1'.

x = 28

Simplifying

x = 28

You might be interested in
What is 571,951 in written form
Natali [406]
Five hundered seventy-one thousand nine hundred and fifty one
5 0
3 years ago
A professor's son, having made the wise decision to drop out of college, has been finding his way in life taking one job or anot
Trava [24]

Answer:

88.88% probability that it endures for less than a year and a half

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 66, \sigma = 10

The next career begins on Monday; what is the likelihood that it endures for less than a year and a half?

One year has 52.14 weeks. So a year and a half has 1.5*52.14 = 78.21 weeks.

So this probability is the pvalue of Z when X = 78.21.

Z = \frac{X - \mu}{\sigma}

Z = \frac{78.21 - 66}{10}

Z = 1.22

Z = 1.22 has a pvalue of 0.8888

88.88% probability that it endures for less than a year and a half

6 0
3 years ago
Consider the linear equation: 3(x+1) = 3x + 3
vesna_86 [32]

Answer:

Yes

Step-by-step explanation:

3(5+1)=3(5)+3

15+3=15+3

18=18

7 0
3 years ago
Factor the following binomail:<br><br> (2x^4 - 12x^7)
Ann [662]
Hopes this helps:

Answer: 2x^4(1-6x^3)
5 0
3 years ago
Equation 1: 5x + 3y=8<br> equation 2: 4x + 7y= 34<br><br> 9x-10y=42 true
jarptica [38.1K]

Answer:

true

Step-by-step explanation:

5x + 4x = 9x

3y + 7y = 10y

8 + 34 = 42

8 0
3 years ago
Read 2 more answers
Other questions:
  • Sheila purchased ski equipment for $513 using a six-month deferred payment plan. The interest rate after the introductory period
    12·1 answer
  • Please Help me with my Math question!
    11·2 answers
  • Does the formula represent a direct or an inverse variation?
    7·2 answers
  • Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Ro
    6·2 answers
  • Drag each tile to the correct box.
    7·1 answer
  • What the square of 8^2​
    11·2 answers
  • Some number times 7 is equal to the number increased by 9
    15·1 answer
  • ABCD is a parallelogram. Find the measure of ZABC.<br> HELPPP
    13·1 answer
  • GIVING OUT BRAINLEST!!<br><br> Enter the range of values for x
    12·2 answers
  • Each side of a square is increasing at a rate of 5 cm/s. At what rate (in cm2/s) is the area of the square increasing when the a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!