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kiruha [24]
3 years ago
15

For the following right triangles:

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Let us first define Hypotenuse Leg (HL) congruence theorem:

<em>If the hypotenuse and one leg of a right angle are congruent to the hypotenuse and one leg of the another triangle, then the triangles are congruent.</em>

Given ACB and DFE are right triangles.

To prove ΔACB ≅ ΔDFE:

In ΔACB and ΔDFE,

AC ≅ DF (one side)

∠ACB ≅ ∠DFE (right angles)

AB ≅ DE (hypotenuse)

∴ ΔACB ≅ ΔDFE by HL theorem.

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Can we get the steps please?
evablogger [386]
Using the Slope Equation
Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
3 0
3 years ago
Subject : Maths<br> Level : High school<br> Topic : Surds<br> Points : 72
Mila [183]

Answer:

  • a = 5

Step-by-step explanation:

<u>Simplify:</u>

  • √5(√8 + √18) =
  • √5*8 + √5*18 =
  • √40 + √90 =
  • √4*10 + √9*10 =
  • 2√10 + 3√10 =
  • (2 + 3)√10 =
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<u>The value of a:</u>

  • a√10 = 5√10
  • a = 5
6 0
3 years ago
A car is traveling at a speed of 25 meters per second what is the cars speed in kilometers per hour how many kilometers will the
Likurg_2 [28]

Answer:

  • 90 km/h
  • 180 km

Step-by-step explanation:

There are 1000 m in 1 km, and 3600 s in 1 h, so the speed conversion is ...

  \dfrac{25\,m}{s}\cdot\dfrac{1\,km}{1000\,m}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{90\,km}{h}

The car's speed is 90 km/h.

__

In 2 hours, the car will travel ...

  distance = speed · time = (90 km/h)(2 h) = 180 km

7 0
3 years ago
Find the slope of the line passing through the points (-2,-7) and (3,5).
Oduvanchick [21]

Answer:

12/5

Step-by-step explanation:

m= slope

m=Y2-Y1/X2-X1

Y2=5, Y1=-7, X2=3, X1=-2

Substitute into equation

m=5-(-7)/3-(-2)

m=5+7/3+2

m=12/5

slope is 12/5

5 0
3 years ago
a student answers 75% of the questions on a math exam correctly. if he answers 30 questions correctly. how many questions are on
Komok [63]
There is 40 questions on the exam
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2 years ago
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