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2 years ago

PLEASE HELP ME IF YOU CAN! please tell me how you got the answer thank you!

Mathematics

1 answer:

Temka [501]2 years ago

3 0

3sqrt(2)

You can either use Pythagorean theorem or special triangle proportions to find the side that is parallel to z. Since in a 45-45-90 degree triangle, the hypotenuse is the leg times the square root of 2, and the hypotenuse is 3, we know that the leg is 3/sqrt(2) which is equal to 3 sqrt(2) / 2. Since z is twice this length, we know that z is equal to 2 x 3sqrt(2)/2 = 3sqrt(2)

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If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

harina [27]

Answer:

$Perimeter = 38.6$

Step-by-step explanation:

Given

$A\ B = 13$

$B\ F = 9$

$F\ C = 5.6$

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

$Perimeter = A B + B\ C + A\ C$

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

$B\ C^2 = B\ F^2 + F\ C^2$

Substitute values for BF and FC;

$B\ C^2 = 9^2 + 5.6^2$

$B\ C^2 = 81 + 31.36$

$B\ C^2 = 112.36$

$B\ C^2= \sqrt{112.36$

$B\ C = 10.6$

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

$A\ B^2 = B\ F^2 + A\ F^2$

Substitute values for B F and A B;

$13^2 = 9^2 + A\ F^2$

$169= 81 + A\ F^2$

$A\ F^2 = 169 - 81$

$A\ F^2 = 88$

$A\ F = \sqrt{88$

$A\ F = 9.4$

Since F lies on line A C:

$A\ C = A\ F + F\ C$

$A\ C = 9.4 + 5.6$

$A\ C = 15.0$

Recall that:

$Perimeter = A\ B + B\ C + A\ C$

$Perimeter = 13 + 10.6 + 15.0$

$Perimeter = 38.6$

Hence, the perimeter is 38.6

3 0

3 years ago

Select the property of equality used to arrive at the conclusion if x-3=7 , then x=10

Fantom [35]

Answer:

The addition property of equality

Step-by-step explanation:

According to the addition property of equality, if we add the same number to each side of an equation, the equality is still true.

We are given the equation

x – 3 = 7, and we must solve for x.

We want to get x by itself, so we add 3 to each side.

x – 3 + 3 = 7 + 3

x = 10

We have just used the addition property of equality.

8 0

3 years ago

What is the slope of the line passing through the points (1, –5) and (4, 1)?

xxMikexx [17]

You are given two points that could be plotted on a graph (1,-5) and (4,1). The formula for slope is y2-y1/x2 -x1

When plotted into the points it would look like 1-(-5)/4-1= 6/3

6/3=2. So, the slope for these two points is 2.

8 0

3 years ago

6 program in 2 hours and 18 minutes which rate can he use

nadya68 [22]

Minutes. Because you cannot concert minutes to hours.

1 hour= 60 Minutes
2 hours= 120 Minutes

8 0

3 years ago

Read 2 more answers

Please someone all 3 :)

san4es73 [151]

Answer:

1. Anne = 21 Bobby=35, 450, 70+40+30=140

Step-by-step explanation:

1 21÷3=7
7×5=35

7-2=250
5=250
1=50
2×50+7×50=100+350=450
450

we can see that it's multiplied by 10, so 70+40+30=140

6 0

2 years ago