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choli [55]
3 years ago
8

What additional information is needed to determine that ΔABC ≅ ΔEDC using the HL method of congruence? answers: A) ≅ B) No addit

ional information is needed. C) ≅ D) ∠ACB ≅ ∠ECD

Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Answer:

AC congruent to EC

Step-by-step explanation:

This problem is asking specifically to prove triangles congruent using HL.

HL is a method of proving triangles congruent. HL stands for Hypotenuse-Leg. If you can show that the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg, respectively, of another triangle, then the triangles are congruent.

Looking at triangle ABC and EDC, we see that the legs AB and ED are congruent. We already have a pair of corresponding congruent legs. Now we need a pair of hypotenuses.

You need AC congruent to EC.

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which is the equation for the linear function f in the form f(x) = mx + b that has the given values? f(-2) = - 8, f(3) = 7
Xelga [282]

The information we have is:

\begin{gathered} f(-2)=-8 \\ f(3)=7 \end{gathered}

So we can find that two coordinates are ( -2,-8 ) and ( 3,7 ) so we can use the equation to find the slope so:

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{7-(-8)}{3-(-2)} \\ m=\frac{15}{5} \\ m=3 \end{gathered}

So the equation now will be:

y=3x+b

So we can replace one coordinate to find b so:

\begin{gathered} 7=3(3)+b \\ 7=9+b \\ 7-9=b \\ -2=b \end{gathered}

So the final equation is:

y=3x-2

5 0
2 years ago
A hot air balloon hovers above its launch site at an altitude of 100 meters. The pilot of the balloon sights a parking lot at a
IgorLugansk [536]

Answer:

The horizontal distance between the parking lot and the launch site is 470 meters

Step-by-step explanation:

Let

x----->  the horizontal distance between the parking lot and the launch site

we know that

The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance

so

tan(12°)=100/x

Solve for x

x=100/tan(12°)=470 meters

6 0
3 years ago
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IgorLugansk [536]

Answer:

each person would get 4 with 4 left over

Step-by-step explanation:


4 0
3 years ago
How does the graph of g(x) = (x - 3)^3 - 2 differ from the group of f(x) = x^3?
Vinvika [58]

Answer:

B

Step-by-step explanation:

f(x) = x³

g(x) = (x - 3)³ - 2

The inside of the parenthesis represents a horizontal shift

If the number operation being done to x inside of the parenthesis is adding ( or if the number is positive ) then the graph will shift to the left. If the operation being done inside of the parenthesis to x is subtraction ( or if the number is negative ) then the graph will shift to the right.

The operation being done is subtraction therefore it will shift to the right. So it will go 3 units to the right.

the number on the outside works like a y intercept. if it's positive it goes up, if it's negative it goes down. the number is -2 so it will go down 2 units

we can conclude that g is shifted 3 units right and 2 units down

the answer is B

6 0
3 years ago
What is number 6 NEED BY 6:30 AM
Likurg_2 [28]

Answer:

Surface Area is 34.

Step-by-step explanation:

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7 0
4 years ago
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