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2 years ago

Help with this proof

Mathematics

1 answer:

musickatia [10]2 years ago

6 0

AD = DB

Angle ADE = Angle CDB

Angle DAE = Angle DBC (Alternate angles)

Angle DEA = Angle DCB (Alternate angles)

Since you have two congruent angles and one congruent side, triangle ADE is congruent to triangle CDB. This means that DE is congruent to DC implying D is the midpoint of CE.

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HURRY PLEASE I WILL GIVE BRAINLIEST AND LOTS OF POINTS

Mrac [35]

Answer:

$m = \dfrac{3}{4}$

Step-by-step explanation:

We would like to find the slope of the line of the given equation .

$\longrightarrow y =\dfrac{3}{4}x -1$

We know that slope intercept form of the line is given by ,

$\longrightarrow y = mx + c$

where ,

m is the slope
c is y intercept

Now we can compare the given equation with the slope intercept form to find the slope . You will see that 3/4 is present at the place of m .Therefore ,

$\longrightarrow \underline{\underline{m=\dfrac{3}{4}}}$

Hence option C is correct choice .

4 0

2 years ago

How to solve this problem.

andreyandreev [35.5K]

Notice the picture below

now, if the arc "x" is 48°, and the arc across the circle is also 48°, then those chords are congruent, notice the chords in red

7 0

3 years ago

Sort the cities from closest to farthest from sea level. Please help me

dimaraw [331]

I think
J,BB,S

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5 0

2 years ago

What is the area of triangle PQR? Round to the nearest tenth of a square unit.

larisa86 [58]

ANSWER

111.3 square units.

EXPLANATION

The formula for calculating the area of a triangle is.

$Area = \frac{1}{2} \times base \times height$
Let us the side of the triangle with side 12 units to be the base of the triangle.

Then the height of the triangle can be determined from the diagram using trigonometry.

$\sin(68 \degree) = \frac{height}{20 }$

$height = 20 \sin(68 \degree)$

$height = 18.54$

We now plug in the values in to the formula to obtain,

$Area = \frac{1}{2} \times 12 \times 18.54$

$Area = 111.3 \: square \: units$

See graph

7 0

2 years ago

Read 2 more answers

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:

ΔABC ~ΔDEF

Distance across the river is 25.34m

8 0

2 years ago