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jolli1 [7]
3 years ago
7

Enter the value of x​

Mathematics
1 answer:
Dmitrij [34]3 years ago
8 0

Answer:

4

Step-by-step explanation:

By Mid-segment Theorem:

2(3x - 4) = 16

3x - 4 = 16/2

3x - 4 = 8

3x = 4 + 8

3x = 12

x = 12/3

x = 4

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Please help me, i promise its worth it!!!
Rashid [163]

\\ \sf\longmapsto 2(L+B)=55

\\ \sf\longmapsto 2(\dfrac{4}{3}x+x)=55

\\ \sf\longmapsto \dfrac{8}{3}x+2x=55

\\ \sf\longmapsto \dfrac{8x+6x}{3}=55

\\ \sf\longmapsto \dfrac{14x}{3}=55

\\ \sf\longmapsto 14x=165

\\ \sf\longmapsto x=11.78

\\ \sf\longmapsto x\approx 12

Now

  • B=x=12
  • L=4/3(12)=4(4)=16
5 0
3 years ago
Read 2 more answers
1/3t + 3/4 = 2/4 -t solve
olga55 [171]
Okay so I am going to summarize the work out process because its a lot to

Here we go

1/3 (t) + 3/4 - 2/4 - t = ?

1/2 (simplify )

(1/3 (T)+3/4 - 1/2 - (t) = ?

t (2) / 2

1 - 2(t) / 2 = ?

3/4 (simplify this )

1/3(t)+ 3/4 - [1 - 2(t) / 2 = ?

1/3 (this is re last one you have to simplify)

L (Denominator): 3

R (Denominator): 4

L: [L.C.M] : 4

R: [L.C.M] : 3

Basically , we just switched the dominators around

So, Therefore The of t is -3/16


T = -3/16
4 0
3 years ago
The perimeters of two similar figures are 15 in. and 24 in. What is the ratio of the areas of the two figures? State your answer
kkurt [141]

Answer:

25/64

Step-by-step explanation:

ratio of perimeters = 15/24 = 5/8

ratio of areas = square of ratio of perimeters

ratio of areas = (5/8)^2 = 25/64

5 0
3 years ago
Line segment YV of rectangle YVWX measures 24 units.
Anna [14]

Answer: 8√3

<u>Step-by-step explanation:</u>

ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b.  So,

VW = b

XW = b√3

XV = 2b

Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,

24 = b√3

\frac{24}{\sqrt{3}} = \frac{b\sqrt{3}}{\sqrt{3}}

\frac{24}{\sqrt{3}} = b

\frac{24}{\sqrt{3}}(\frac{\sqrt{3}}{\sqrt{3}}) = b

\frac{24\sqrt{3}}{3} = b

8√3 = b

We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3

7 0
3 years ago
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se
notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

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 = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0
3 years ago
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