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andreyandreev [35.5K]
3 years ago
14

Because ?ABC and ?CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. L

ikewise, ?ABC and ?ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions and are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e). Which is the last sentence of the proof?
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

C i took that test unless u have to write it out

Step-by-step explanation:

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Order the numbers from least to greatest.<br> 1/8, 5/7, 0.35,0.39, 9/10
Anna11 [10]

Answer:

1/8, 0.35, 0.39, 5/7, 9/10

Step-by-step explanation:

1/8 = 0.125

5/7 = 0.714

0.350

0.390

9/10 = 0.900

now let's order them from least to greatest:

0.125 , 0.350 , 0.390 , 0.714 , 0.900

= 1/8, 0.35, 0.39, 5/7, 9/10

if you have trouble with these types of problems change them all into decimals which will make things easier!

:D

6 0
2 years ago
Read 2 more answers
What is the sun of 185 and h
Ksenya-84 [330]

Answer:

185 + h

Step-by-step explanation:

Question: What is the sum of 185 and h?

Sum means the answer to an addition problem, so we need to add.

185 +  h

This expression can not be simplified any further, so 185 + h is your answer.

Hope this helps :)

3 0
2 years ago
Someone please help me??
lapo4ka [179]
The standard equation of a circle with centre (xc,yc) and radius R is given by

(x-x_c)^2+(y-y_c)^2=R^2

Substituting
centre (xc,yc) = (4,-3)
R=2.5

The equation is therefore

(x-x_c)^2+(y-y_c)^2=R^2
(x-4)^2+(y-(-3))^2=2.5^2
(x-4)^2+(y+3)^2=2.5^2  or
(x-4)^2+(y+3)^2=6.25
7 0
2 years ago
Attached as photo. Please help
Effectus [21]

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a)     (1)

The steps of Euler's method are summarized below:

  1. Define the function seen in the statement by the label f(x₀, y₀).
  2. Determine the different variables by the following formulas:

    xₙ₊₁ = xₙ + (n + 1) · Δx     (2)
    yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ)     (3)
  3. Find the integral.

The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

#SPJ1

7 0
2 years ago
A TV goes on sale with a discount of 28%. The original price of the TV is $942. What is the sales price of the TV?
Harlamova29_29 [7]
A percentage is equivalent to a fraction, a percentage is out of 100 therefore the fraction for this can be 28/100, as a decimal this would be .28. Therefore to solve this problem you would set up the problem as, 942 x .28= 263.76, you then take that number and subtract it from the original price of the tv, and you get the final price, of $678.24.
6 0
3 years ago
Read 2 more answers
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