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Romashka-Z-Leto [24]
3 years ago
7

Write Which congruence theorem is used and also write a congruency statement

Mathematics
2 answers:
Elina [12.6K]3 years ago
7 0

Hello there,

Write Which congruence theorem is used and also write a congruency statement

Answer: SAS Triangle ABC is congruent to triangle DEF.


kirill [66]3 years ago
6 0

Answer:

SAS, Triangle ABC is congruent to triangle DEF.

Step-by-step explanation:

We name triangles with a triangle symbol and in alphabetical order. To write a statement, name each triangle and place a congruent sign between them.

To determine what postulate, look at the arrangement of congruent parts which is side-angle-side. This is SAS.

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kap26 [50]

Just plug in b =2 into 7+b

So 7 + 2 = 9

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3 years ago
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What is an equation of a parabola with a vertex at the origin and directrix x=4.75?
patriot [66]
An equation for the parabola would be y²=-19x.

Since we have x=4.75 for the directrix, this tells us that the parabola's axis of symmetry runs parallel to the x-axis.  This means we will use the standard form

(y-k)²=4p(x-h), where (h, k) is the vertex, (h+p, k) is the focus and x=h-p is the directrix.

Beginning with the directrix:

x=h-p=4.75
h-p=4.75

Since the vertex is at (0, 0), this means h=0 and k=0:

0-p=4.75
-p=4.75
p=-4.75

Substituting this into the standard form as well as our values for h and k we have:
(y-0)²=4(-4.75)(x-0)
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4 0
3 years ago
Is (1, 6) a solution to this system of equations?<br> 5x + 2y = 17<br> x + 3y = 19<br> yes<br> no
Ulleksa [173]
Answer:
Yes

Explanation:
5x + 2y = 17

We are given the values (1, 6)

Substitute then into the equation

(I put a question mark to basically ask the question “is 5(1) + 2(6) equal to 17?”)

5(1) + 2(6) = 17?
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Yes!

Hope this helped and made sense :)
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3 years ago
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What facts are required in order to conclude that m∠ADE = m∠ABC?
mariarad [96]

Answer:

The correct option is;

DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)

Step-by-step explanation:

Given that we have;

1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC

2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC

3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC

Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;

AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))

∴ (sin(m∠ADE)) = (sin(m∠ABC))

m∠ADE) = m∠ABC).

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3 years ago
Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.<br><br> Enter your answer in the box.
melamori03 [73]
I think it's 75.
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