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kiruha [24]
3 years ago
7

Hello,i need help with this question:

Mathematics
1 answer:
djyliett [7]3 years ago
8 0

Answer:

x = 23

Step-by-step explanation:

If the sum of angles is equal to 180 then we can write and equation to find the value of x

5x + 10 + 55 = 180 add like terms

5x + 65 = 180 subtract 65 from both sides

5x = 115 divide both sides by 5

x = 23

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Can someone help me ​
dezoksy [38]

Answer:

Step-by-step explanation:

Remark

The problem asks you to identify the triangles. They are similar. The reason they are similar is by AA. That means that 2 of the angles are identified as equal in each triangle.

Proof

Both triangles contain a right angle....................That's given.

The mirror has an interesting property. It is stated as the angle of incidence = the angle of reflection. That property is marked by the lines hitting the mirror towards your right. If you do not know what incidence and reflection mean, just notice that the angles are marked as equal and call it given.

The base angles are equal ....................................Given

Here it is more formally

B and D are right angles .....................    Given

<AMB = <CMD                                         Property of a mirror

Triangle AMB similar Triangle CMD      AA in 1 triangle = AA in the other.        

5 0
3 years ago
What is the answer for -6d &lt; 24
hjlf

9514 1404 393

Answer:

  d > -4

Step-by-step explanation:

Divide both sides of the inequality by -6. That requires the sense of the comparison to be reversed.

  (-6d)/(-6) > (24)/(-6)

  d > -4

5 0
3 years ago
Each of 12 refrigerators of a certain type have been returned to a distributor because of the presence of a high pitched oscilla
Bond [772]

Answer:

a) P(X = 5) = 0.04397

b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159

Step-by-step explanation:

a) This question can be solved using binomial distribution function formula

Using Binomial,

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6

x = Number of successes required = 5

p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167

q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833

P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵

P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397

P(X = 5) = 0.04397

b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1

Using the normal distribution tables,

P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159

3 0
4 years ago
1 2 (–1.4m + 0.4) = m + 0.2
allsm [11]

First, you need to get rid of the parenthesis, so you need to distribute:

12(–1.4m + 0.4) = m + 0.2

-16.8m + 4.8 = m +0.2

Then subtract both sides by m:

-16.8m - m + 4.8 = m +0.2 - m

-17.8m + 4.8 = 0.2

Subtract both sides by 4.8:

-17.8m + 4.8 - 4.8 = 0.2 - 4.8

-17.8m = -4.6

Now, divide both sides by -17.8:

-17.8m/-17.8 = -4.6/-17.8

m ≈ 0.258

8 0
3 years ago
PLEASE HELP!!!!!
storchak [24]
Easy. its d, because if u put -7 and {[\72283], it will obviously exclude the factor of 12%[{9293}]. 
3 0
3 years ago
Read 2 more answers
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