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Musya8 [376]
2 years ago
5

(URGENT) The converse of the Pythagorean theorem says that if the side lengths of a triangle satisfy the equation a2+b2=c2, the

n the triangle is a right triangle. Which triangle is a right triangle?

Mathematics
2 answers:
11111nata11111 [884]2 years ago
4 0
The 3rd picture is correct. By putting the according sides into the formula, we can see that the equation is true.

    a² + b² = c²
  5² + 12² = 13²
25 + 144 = 169
        169 = 169
sergij07 [2.7K]2 years ago
3 0
The 5 12 13 triangle because 5^2 + 12^2 = 13^2
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Please help me solve this, I will give you Brainliest. !
Brrunno [24]

\frac{8 + x}{2}

6 0
3 years ago
Read 2 more answers
Is 0.74 greater than 3/2
KonstantinChe [14]

Answer:

No

Step-by-step explanation:

if you simplify 3/2 to a decimal, you get 1.5

comparing 0.74 to 3/2 we can conclude that 3/2 is in fact greater

7 0
2 years ago
Question 10 Please Help
svet-max [94.6K]

Answer:

1)· 5x + 2y = 9. First we solve for y. 2y= 9 -5x. y=(9-5x)/2. Now that we have the value of y. We substitute on the original equation and resolve. 5x + 2y = 95x + 2y = 9  5x + 2(9-5x)/2 = 9  5x + 9 - 5x = 9  9 = 9

That would be x = 1  

Now substitute and resolve to find y.  

5(1) + 2y = 9

5 + 2y = 9

2y = 4

y = 2

So our answer x=1 and y = 2. (1,2)

Proof :  

5(1) + 2(2) = 9

5+ 4 = 9

9 = 9

Step-by-step explanation:

hoped it helped for the first  one  i didnt now the second one

4 0
2 years ago
Write the contrapositive of the conditional statement. If a shape is a rhombus, then it has four congruent sides.
NikAS [45]
If the figure does not have four congruent sides, then the shape is not a rhombus.
7 0
3 years ago
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0
3 years ago
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