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Goshia [24]
2 years ago
11

∠1 ​and ∠2 are supplementary angles.

Mathematics
1 answer:
skad [1K]2 years ago
3 0
<h3 /><h3>\qquad \qquad\huge \underline{\boxed{\sf Answer}}</h3>

Let's solve ~

As given in the question, the two angles are supplementary Angle pair.

According to that, the sum of measures of those angles will be equal to 180°

\qquad \sf  \dashrightarrow \: (2x + 4) \degree + 124 \degree = 180 \degree

\qquad \sf  \dashrightarrow \: (2x + 4) \degree  = 180 \degree  -  124 \degree

\qquad \sf  \dashrightarrow \: (2x + 4) \degree  = 56 \degree

\qquad \sf  \dashrightarrow \: 2x = 56 \degree - 4 \degree

\qquad \sf  \dashrightarrow \: 2x = 52 \degree

\qquad \sf  \dashrightarrow \: x = 52 \degree  \div 2

\qquad \sf  \dashrightarrow \: x = 26 \degree

Hope it helps ~

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During a sale, a shop offered a discount of 10% on the marked prices of all the items. What
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Answer:

₹2835

Step-by-step explanation:

Working out discount of 10% of jeans at ₹1450:

10% of 1450 = 1450/10 = ₹145

the price would now be ₹1450 - ₹145 = ₹1305

Working out discount of 10% of a shirt at ₹850:

10% of 850 = 850/10 = ₹85

the price would now be ₹850 - ₹85 = ₹765

so the price of two shirts = ₹765 × 2 = ₹1530

the total the customer would have to pay:

₹1305 + ₹1530 = ₹2835

8 0
2 years ago
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Pls help me understand.
maw [93]

Answer:

19 %

Step-by-step explanation:

380 : 2000 = 0.19

0.19 X 100%= 19 %

6 0
3 years ago
How to find the value of a+b+c given that a=4,b=3 and c= -2
Alexus [3.1K]

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8 0
3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are 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 problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
Find the common ratio of the geometric sequence -7,-14,-28
Aneli [31]

Answer:

2

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

-14/-7 = 2

Check by dividing the third term by the second term

-28/-14 = 2

The common ratio is 2

7 0
2 years ago
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