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KIM [24]
3 years ago
13

Given: Base ∠BAC and ∠ACB are congruent.

Mathematics
2 answers:
Sergio039 [100]3 years ago
8 0

Refer to the image attached.

Given: \angle BAC and \angle ACB are congruent.

To Prove: \DeltaABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle ABD and BDC,

\angle BAD = \angle BCD (given)

\angle ADB = \angle BDC = 90^\circ

(By the definition of a perpendicular bisector)

AD=DC (By the definition of a perpendicular bisector)

Therefore, \Delta ABD \cong \Delta BDC by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

BartSMP [9]3 years ago
6 0
Blank 1: *ASA Postulate*
Blank 2: *CPCTC*

Based on the info. your given and I drew (screenshot). Blank 1 is ASA Post. and Blank 2 is CPCTC because of ASA Post.

i am so sorry!
I meant to draw line segment AD is congruent to AC.... However Line segment AB is congruent to BC....

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If 5% sales tax is added to her total, what is the greatest total cost of groceries Darla can spend in order to spend as close t
andrew-mc [135]

Answer:

Approximately $14.20

Step-by-step explanation:

Let the cost of the groceries be represented by c, then;

cost price + VAT = c + (5% of c)

To get the value of the cost, c, that would make him spend as close to $15. Since the tax is 5% of the cost price, then the cost price would be close to $15.

Let c = $14.20, then;

So that,

c + (5% of c) = 14.20 + (5% of 14.20)

                    = 14.20 + 0.71

                    = $14.91

Thus, the greatest total cost of groceries Darla can spend in order to spend as close to $15 as possible is approximately $14.20.

7 0
3 years ago
Use the Distance Formula to find the distance between each pair of points. (5,8) and (3,10)
andrew-mc [135]
The distance formula is shown here. If you plug your coordinates into the formula, you will get d=square root of (5-3)^2+(8-10)^2 which equals 2.828

5 0
2 years ago
Given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)
DerKrebs [107]

Answer:

<h2>(g ∘ h)(x) = x² - 6x + 9</h2>

Step-by-step explanation:

g(x) = x²

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To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

<h3>(g ∘ h)(x) = x² - 6x + 9</h3>

Hope this helps you

5 0
3 years ago
What is the answer to 3x + 2 = -19?
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Answer:

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Step-by-step explanation:

7 0
2 years ago
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ehidna [41]
-2n2 • (4n - 1). Hope this helped
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