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ella [17]
3 years ago
5

PLEASE HELP, LIMITED TIME!!!!!

Mathematics
2 answers:
Lyrx [107]3 years ago
4 0

Answer: m∠CAB=48°

Step-by-step explanation:

From the given picture, there is a circle with center O and the measure of central angle ∠COB=96°.

We know that the angle which is subtended by an arc at the centre of a circle is double the size of the angle subtended at any point on the circumference.

Therefore, \angle{COB}=2\times\angle{CAB}

\Rightarrow\ \angle{CAB}=\frac{1}{2}\angle{COB}=\frac{1}{2}\times96^{\circ}=48^{\circ}

Hence, m∠CAB=48°

Elenna [48]3 years ago
3 0
48 i believe thats the best i can find
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∠ABC = ___?___ <br> a) ∠MNP<br> b) ∠PMN <br> c) ∠ NPM<br> d) ∠NMP
xenn [34]

Answer:

angle ABC = angle MNP

(See the single curved shape at angle B? Match it to the same one on the other triangle. The same with the double and triple angles. The marks in the middle of the lines work the same way. Lines BC, BA, NM, and NP are all the same length.)

Step-by-step explanation:

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Step-by-step explanation:

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A number is chosen at random from 1 to 50. Find the probability of selecting either a multiple of 4 or a multiple of 5.
anygoal [31]
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How do you solve this?
solong [7]

It looks like your equations are

7M - 2t = -30

5t - 12M = 115

<u>Solving by substitution</u>

Solve either equation for one variable. For example,

7M - 2t = -30   ⇒   t = (7M + 30)/2

Substitute this into the other equation and solve for M.

5 × (7M + 30)/2 - 12M = 115

5 (7M + 30) - 24M = 230

35M + 150 - 24M = 230

11M = 80

M = 80/11

Now solve for t.

t = (7 × (80/11) + 30)/2

t = (560/11 + 30)/2

t = (890/11)/2

t = 445/11

<u>Solving by elimination</u>

Multiply both equations by an appropriate factor to make the coefficients of one of the variables sum to zero. For example,

7M - 2t = -30   ⇒   -10t + 35M = -150 … (multiply by 5)

5t - 12M = 115   ⇒   10t - 24M = 230 … (multiply by 2)

Now combining the equations eliminates the t terms, and

(-10t + 35M) + (10t - 24M) = -150 + 230

11M = 80

M = 80/11

It follows that

7 × (80/11) - 2t = -30

560/11 - 2t = -30

2t = 890/11

t = 445/11

4 0
2 years ago
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