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kramer
3 years ago
15

In the diagram below, lines a and b are parallel and cut by transversal, t. If angle 3 is 120 degrees, find the measure of angle

7.
A: 60
B: 90
C: 120
D: 180

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Lines a and b are parallel and cut by the same transversal, t. Since we know these lines are parallel, we can find the measure of angle 7 quite easily.

Angles 3 and 7 are corresponding angles, which means that the two angles are in the same relative position. Thus, they are equivalent.

Angle 3 = angle 7 = 120 degrees

The correct answer is C. 120.

Hope this helps!! :)

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Dan invests £11000 into a savings account. The bank gives 3.9% compound interest for the first 3 years and 4.5% thereafter. How
rodikova [14]
The initial amount of the money is £11,000 and the interest is 3.9% per year for first 3 years and then 4.5% after that. If Dan invests it for 7 years, that means the interest would be 3 years of 3.9% and 4 years of 4.5%.
The calculation would be:

total money= initial amount * interestrate1 * interest 2
total money= £11000 *(100%+3.9%)^3<span>*(100%+4.5%)^4
</span>total money= £11000 *(103.9%)^3 * (104.5%)^4
total money= £11000 * <span>1.121622319 </span>* 1.1925186
total money= £14,713.11

8 0
3 years ago
I’m confused on this one
Alenkinab [10]

Remark

I would have had the answer a whole lot sooner if I would have read the question properly. The figure in the circle is called a cyclic quadrilateral. It has the odd property that the angles that are opposite each other add up to 180o.

So DEB + DCB = 180o

DEB = 180 - 87

DEB = 93o

Note: The arcs marked 60 and 76 have nothing whatever to do with this problem.

7 0
2 years ago
What is the slope of the function​
guajiro [1.7K]

Answer:

-2/2

Step-by-step explanation:

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8 0
2 years ago
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams
Nataliya [291]

Answer:

a) 0.2318

b) 0.2609

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

We solve using z score formula

z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.

(a) What proportion of broilers weigh between 1150 and 1308 grams?

For 1150 grams

z = 1150 - 1387/192

= -1.23438

Probability value from Z-Table:

P(x = 1150) = 0.10853

For 1308 grams

z = 1308 - 1387/192

= -0.41146

Probability value from Z-Table:

P(x = 1308) = 0.34037

Proportion of broilers weigh between 1150 and 1308 grams is:

P(x = 1308) - P(x = 1150)

0.34037 - 0.10853

= 0.23184

≈ 0.2318

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

1510 - 1387/192

= 0.64063

Probabilty value from Z-Table:

P(x<1510) = 0.73912

P(x>1510) = 1 - P(x<1510) = 0.26088

≈ 0.2609

(c) Is it unusual for a broiler to weigh more than 1610 grams?

1610- 1387/192

= 1.16146

Probability value from Z-Table:

P(x<1610) = 0.87727

P(x>1610) = 1 - P(x<1610) = 0.12273

≈ 0.1227

No it is not unusual for a broiler to weigh more than 1610 grams

8 0
3 years ago
Correct answer gets 5 stars and brainliest
ozzi

Answer:

  • Option C

Step-by-step explanation:

Find the equation of the graphed line.

<u>Use 2 points, (0, -6) and (2, 4)</u>

  • m = (4 + 6)/2 = 5
  • b = -6

<u>The equation is:</u>

  • y = 5x - 6

<u>Compare with the given line y = 4x + 2</u>

  • 5 > 4 and -6 < 2

Correct answer choice is c

6 0
3 years ago
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