Step-by-step explanation: The parallel lines gradients that have similar gradients, so now we have the gradient of 3 because its similar to the other gradient. To get the equation of the line we use this equation: y=mx+c, we have to substitute the x and y to get the constant c.

5=3(3)+c

c= -4

y=3x+c

3 0

3 years ago

an engineer decides to use similar triangles to find the distance across the river she makes the diagram below which triangles t

sergiy2304 [10]

<h2>Explanation:</h2><h2 />

The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:

$\frac{h}{56.7}=\frac{17.2}{52.4} \\ \\ h=56.7\times \frac{17.2}{52.4} \\ \\ h=18.61m$

Our goal is to find x. So by Pythagorean theorem:

$x=\sqrt{17.2^2+18.61^2} \\ \\ \boxed{x=25.34m}$

Conclusion:

<em>Distance across the river is 25.34m </em>

8 0

3 years ago

Heron’s formula: Area = square root 5(5-a)(5-b)(5-c) What is the area of triangle DFG? Round to the nearest whole square unit. 2

timurjin [86]

To do this problem, you will need to know the side lengths of the triangle. If you have those, just plug them in for a, b, and c and evaluate the square root.

Here is an example. If the sides are 3, 4, 5.
It would be:

$A= \sqrt{6(6-3)(6-4)(6-5))}$

The 6 is in the formula because it is the semi-perimeter (half).

3 0

3 years ago

Read 2 more answers

PLEASE HELP!! (will give brainliest to best answer)<br><br> *image below*

GalinKa [24]

Answer:

Its 405, theres no negatives so the answer wouldn’t be negative, and then just multiply and you get 405! Hope this helped!

3 0

3 years ago