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STatiana [176]
3 years ago
12

Which set of angle measures could be the measures of the interior angles of a triangle? A. 10° 20° and 60°

Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

The 3 interior angles of a triangle when added together need to equal 180 degrees.

The answer would be D. 20° 60° and 100° ( 20 + 60 + 100 = 180)

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The scale drawing has a scale of 1/2 in: 8 mi. Find the length on the drawing for 2 in Please answer asap​
11111nata11111 [884]

Answer:

32 mi

Step-by-step explanation:

Solve using proportions.

\frac{\frac{1}{2}in}{8 mi} =\frac{2in}{y}

Find the scale factor (how to get from left to right)

To get from left numerator to right numerator, multiply by 4.

(1/2) X 4 = 2

The scale factor is 4.

Multiply the left denominator by the scale factor to get "y".

8 mi X 4 = 32 mi

Therefore 2 inches represent 32 miles.

3 0
3 years ago
7/12-9/8(2x-1)-5/6(3x+2)
butalik [34]
7/12-9/8(2x-1)-5/6(3x+2)=0
(7*2-9(2x-1)*3-5(3x+2)*4)/24=0
(14-9(2x-1)*3-5(3x+2)*4)/24=0
(14-27(2x-1)-20(3x+2)/24=0
(14-54x+27-60x-40)/24=0
(14+(-54x-60x)+27-40)/24=0
(14-114x+27-40)/24
(-144x+1)/24=0
-114x+1=0
-114x=-1
x=1/144
4 0
3 years ago
A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.
fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T)  = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15  = 15/32

8 0
3 years ago
Read 2 more answers
Add: (-3p6 + 5) + 9p6
timama [110]

Answer:

6p^6+ 5

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((0 -  (3 • (p6))) +  5) +  32p6

Step  2  :

Equation at the end of step  2  :

 ((0 -  3p6) +  5) +  32p6

Step  3  :

Trying to factor as a Sum of Cubes :

3.1      Factoring:  6p6+5

4 0
3 years ago
Identifiy the initial amount a and the decay factor b in the exponential function y=5×0.5^×
xenn [34]

Answer:

a=5\\ \\b=0.5

Step-by-step explanation:

Given the exponential decay function y=5\cdot (0.5)^x

When x=0, then

y=5\cdot (0.5)^0=5\cdot 1=5,

so the initial amount is a=5

The exponential decay function y=a\cdot b^x has the decay factor b.

In your case, the eexponential decay factor is b=0.5

6 0
3 years ago
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