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Marianna [84]
3 years ago
6

Pamela is 12 years younger than Jiri. The sum of their ages is 80. What is Jiri's age? years old

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0
80/2= 40
46-34= 12
So Pamela is 34 & Jiri is 46
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Can you conclude from the figure that ABC is similar to DEF? Explain.​
pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

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8 0
3 years ago
There were 80 boys and 95 girls on the middle school track team last year this year the number of boys increased by 15% well the
shutvik [7]

Answer:

E. 4% decrease

Step-by-step explanation:

To find out if we had an increase or a decrease, we will first need to set out variables.

80 boys

95 girls

So last year we had a total of:

80 + 95 = 175 Track team members

This year we had an increase in the number of boys.

15% boys or 0.15

Now since it's an increase, we add 1 to 0.15.

Total number of boys = 80 x (1.15)

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Then we had a decrease in the number of girls.

20% girls or 0.20

Now we take the number of girls and multiply them by 0.20 and subtract the amount we get to the number of girls initially.

Total number of girls = 95 - (95 x 0.20)

Total number of girls = 95 - 19

Total number of girls = 76

So all together we have:

92 boys + 76 girls = 168

Now let's get the difference of the number of members last year and this year.

175 - 168 = 7

So we have 7 less members from last year.

Now we find how many percent 7 members is of 175 members.

Now we divide 7 by 175.

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Then we multiply 0.04 by 100 to get the percentage value.

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So since we know that we have less than the initial number of members, then it means that it is a decrease.

So we had a 4% decrease in the number of members.

6 0
4 years ago
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