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Nezavi [6.7K]
3 years ago
11

In fig. AB = AC, D is the midpoint of BC. (i)Is  ADB ADC (ii) Is ∠B =∠C?

Mathematics
1 answer:
dexar [7]3 years ago
3 0

Answer:

(i) Yes

(ii) Yes

Step-by-step explanation:

We are given that

AB=AC

(i)D is the mid-point of BC

BD=DC

In triangle ADB and triangle ADC

AD=AD

Reason: Reflexive property

BD=DC

Reason:Given

AB=AC

Reason: Given

\triangleADB\cong\triangleADC

Reason:SSS postulate

Yes, triangle ADB is congruent to triangle ADC

(ii) Angle B=Angle C

Reason: CPCT

Yes , angle B=angle C

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100e^0.125t=200<br><br>A. t= ln(16)<br>B. t= ln(256)<br>C. t= 8ln(100)<br>D. t= 0.08ln(200)
Drupady [299]

The correct answer is C. t= 8ln(100)

Hope this helped! :)



^-^

5 0
3 years ago
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.
marta [7]
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
                                                                                          = 1 * 4 dollars
                                                                                          = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
                                                                   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

4 0
3 years ago
From Denver yo Chicago =3in if the scale is 1in=300miles
Amiraneli [1.4K]
Basically a proportion so it’d be 1in/300 mi = 3in/x mi
cross multiple that out and you get 300•3=x and then just solve for x. the answer should be 900 miles.
5 0
3 years ago
Determine whether the conjecture is true or false. Give a counterexample for any false conjecture. Given: Point B is in the inte
Arte-miy333 [17]
True because point B is the interior
5 0
3 years ago
Read 2 more answers
Find the degree of the polynomial: −3x^3y^3+2.5xz^2−5xz^2
Lilit [14]

Answer:

Degree is 6

Step-by-step explanation:

Solving given polynomial gives -3x^3y^3-2.5xz^2

as this polynomial involves two variables so we'll add the powers on variables in each term

first term: -3x^3y^3, add powers on x and y variables which turns out to be 6

Second term: 2.5xz^2, adding powers on x and z variable results in 3

As degree is the highest power among different powers on terms so here the degree is 6

5 0
3 years ago
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