All categories

3 years ago

What is the measure of ADB?

Mathematics

2 answers:

ollegr [7]3 years ago

8 0

I’m thinking it’s c if I’m incorrect I’m sorry

lana [24]3 years ago

6 0

Answer: (A) 35 degrees

Explanation:

(I am assuming the 70 degrees measure refers to the central angle <ACB)

The "easy" way: clearly the angle <ADB must but smaller than <ACB (this follows from a simple triangle argument) and given that the only choice of an angle smaller than 70 degrees is (A) 35 degrees, that should be the correct pick without showing work. But we can do better.

The principled way: let us actually determine the measure <ADB. Connect the points DC with a line segment starting at D, crossing C, bisecting <ACB and ending intersecting the arc at a point, say, E. The angle <ECB=35 degrees, therefore the angle <BCD=180-35=145 degrees. Therefore <BDC=17.5 degrees. Since the triangle ABD is isosceles, <CDB = <CDA. Therefore <ADB = 2*17.5=35 degrees.

You might be interested in

Membership to a music club costs $70. Members pay $5 per music lesson and nonmembers pay $10 per

Snezhnost [94]

Answer:

a member would have to take 14 lessons versus a non-member which would only have to take 7

3 0

3 years ago

Hey giving out brailiest if u can guess my 1 of my favorites 3 bands, singers

liq [111]

Is one twenty one pilotss

8 0

3 years ago

Read 2 more answers

Boden's account has a principal of $800 and a simple interest rate of 3.3%.

prohojiy [21]

Answer: 800 x 1.033^4 = 910.94 (result is rounded)

Step-by-step explanation:

4 0

3 years ago

The amount of carbon-14 present in a paint after t years is given by y equals y Subscript o Baseline e Superscript negative 0.0

Anni [7]

Answer:

16,383.33 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of carbon-14 after t years,

$y = y_0 e^{-0.00012t}$

Where,

$y_0$ = initial amount,

∵ 14% of $y_0$ = $\frac{14}{100}y_0$ = $\frac{7}{50}y_0$

$\frac{7}{50}y_0= y_0 e^{-0.00012t}$

$\frac{7}{50}=e^{-0.00012t}$

Taking ln both sides,

$\ln(\frac{7}{50})=-0.00012t$

$-1.966=-0.00012t$

$\implies t =\frac{-1.966}{-0.00012}=16383.33$

Hence, the painting would be 16383.33 years old ( approx )

5 0

3 years ago

How to condense logs using properties of logs

Mkey [24]

The logs rules work "backwards", so you can condense ("compress"?) strings of log expressions into one log with a complicated argument. When they tell you to "simplify" a log expression, this usually means they will have given you lots of log terms, each containing a simple argument, and they want you to combine everything into one log with a complicated argument. "Simplifying" in this context usually means the opposite of "expanding".

There is no standard definition, in this context, for "simplifying". You have to use your own good sense. If they give you a big complicated thing and ask you to "simplify", then they almost certainly mean "expand". If they give you a string of log terms and ask you to "simplify", then they almost certainly mean "condense".

8 0

3 years ago