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k0ka [10]
3 years ago
12

One side of triangle is half the longest side. The third side is

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
Let S be the first side. 
Longest side is then 2S.
Third side is 2S-10.
Perimeter is sum of all three sides = S+2S+2S-10 = 75
=>
5S-10=75
5S=75+10=85
S=17

Therefore
S=17 is the first side. 
Longest side is then 2S=2*17=34.
Third side is 2S-10=2*17-10=24.
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What is the value of x?
Westkost [7]

Answer:

x is equal to 20 in this picture.

Step-by-step explanation:

In order to find this, we need to note that these two angles will be equal to each other. Now we can put their values equal to each other and solve for x.

3x + 50 = 6x - 10

50 = 3x - 10

60 = 3x

20 = x

6 0
3 years ago
what's the slope? simplify your answer and write it as a proper fraction,improper fraction or integer ​
dybincka [34]

Answer:

\frac{1}{2}

Step-by-step explanation:

In this graph, when you count rise and run, rise would be 1 and run would be 2. Because slope is also known as rate of change and rate of change is also known as rise over run, the slope will be 1 over 2.

8 0
3 years ago
An elevator has a placard stating that the maximum capacity is 1296 lb long dash — 8 passengers.​ So, 8 adult male passengers ca
Masja [62]

Answer:

There is a 98.26% probability that it is overloaded.

This elevator does not appear to be safe.

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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that weights of males are normally distributed with a mean of 170 lb, so \mu = 170

They have a standard deviation of standard deviation of 29 lb, so \sigma = 29.

We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of \sigma in the Z score formula.

s = \frac{\sigma}{8} = \frac{29}{8} = 3.625

Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so X = 162

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

Z = \frac{162 - 170}{3.625}

Z = -2.21

Z = -2.21 has a pvalue 0.0174.

So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.

Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.

8 0
3 years ago
The Greatest Common Factor of 90,33,54
yawa3891 [41]
3 is the GCF of 903,354
3 0
3 years ago
Help please problem is worded weird
Vadim26 [7]

Answer:100

Step-by-step explanation:

Expand

x = 150 - 0.5x

Add 0.5x to both sides

x + 0.5x = 150

Simplify x + 0.5x to 1.5x

1.5x = 150

Divide both sides by 1.5

x = 150/1.5

Simplify 150/1.5 to 100

x = 100

5 0
3 years ago
Read 2 more answers
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