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Rainbow [258]
2 years ago
11

The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find

Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Answer:    49°, 49°, 82°

<u>Step-by-step explanation:</u>

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

                 4x - 16 = 180

                       4x = 196

                         x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82

                                   

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You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
After the bank cashed a check Maureen wrote for $60, her balance was -$14.The equation b+(-60)=-14 can be used to represent this
dem82 [27]

we are given

b+(-60)=-14

Since, we have to solve for b

b-60=-14

so, we will isolate b ony one side

so, we will add 60 on both sides

b-60+60=-14+60

b=-14+60

b=46

so,

Answer:

Maureen should have added 60 to both sides.

5 0
2 years ago
Read 2 more answers
A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defe
xxMikexx [17]

Answer:

P(N_1 = a , N_2 = b)= \frac{1}{5-a C 1} * \frac{5-a C 1}{5C2} = \frac{1}{5C2}=\frac{1}{10}

Step-by-step explanation:

For the random variable N_1 we define the possible values for this variable on this case [1,2,3,4,5] . We know that we have 2 defective transistors so then we have 5C2 (where C means combinatory) ways to select or permute the transistors in order to detect the first defective:

5C2 = \frac{5!}{2! (5-2)!}= \frac{5*4*3!}{2! 3!}= \frac{5*4}{2*1}=10

We want the first detective transistor on the ath place, so then the first a-1 places are non defective transistors, so then we can define the probability for the random variable N_1 like this:

P(N_1 = a) = \frac{5-a C 1}{5C2}

For the distribution of N_2 we need to take in count that we are finding a conditional distribution. N_2 given N_1 =a, for this case we see that N_2 \in [1,2,...,5-a], so then exist 5-a C 1 ways to reorder the remaining transistors. And if we want b additional steps to obtain a second defective transistor we have the following probability defined:

P(N_2 =b | N_1 = a) = \frac{1}{5-a C 1}

And if we want to find the joint probability we just need to do this:

P(N_1 = a , N_2 = b) = P(N_2 = b | N_1 = a) P(N_1 =a)

And if we multiply the probabilities founded we got:

P(N_1 = a , N_2 = b)= \frac{1}{5-a C 1} * \frac{5-a C 1}{5C2} = \frac{1}{5C2}=\frac{1}{10}

8 0
2 years ago
Poor Milhouse is hopelessly in love with Lisa. Unfortunately for Milhouse, Lisa does not feel the same way. However, Milhouse re
rewona [7]

Answer:

15.6%

Step-by-step explanation:

Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...

94% / 100 = 0.94

0.94^{30} = 0.156

Now we can turn this decimal into a percentage by multiplying by 100

0.156 * 100 = 15.6%

Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%

6 0
2 years ago
The base of a triangle measures 8 inches and the area is 136 square inches what is the height of the triangle
Mariana [72]

Answer:

34 inches

Step-by-step explanation:

Area is base times height time half

Then plug in the values: 136= 0.5 x 8x

Then solve for x

7 0
2 years ago
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