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GarryVolchara [31]

2 years ago

9

1 1/3 of 15

align="absmiddle" class="latex-formula">

2 answers:

Amiraneli [1.4K]2 years ago

7 0

Answer:

$11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55$

Mkey [24]2 years ago

7 0

Answer:
20

explanation:
1 whole of 15=15
1/3 of 15= 15/3=5
15+5=20

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Lisa is currently taking physics as one of her electives in school. her grade at the end of the year is determined by the averag

ICE Princess25 [194]

The score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.

<h3>What is the average of a group of numbers?</h3>

The average of the group of numbers is the ratio of the sum of all the numbers of the group to the total number of the group.

Lisa is currently taking physics as one of her electives in school.

Her grade at the end of the year is determined by the average of four exams, each worth 100 points.

On her first test, she got an 84,
On her second, she got a 92,
On her third, an 80.

She got exactly 80% in the course. Let she scores x marks in her fourth exam. Thus,

$\dfrac{84+92+80+x}{4}=80\\256+x=80\times4\\x=320-256\\x=64$

Hence, the score which Lisa should get in her fourth exam of school to get exactly 80% in the course is 64.

Learn more about the average here;

brainly.com/question/20118982

4 0

2 years ago

in the given figure ,o is the centr of the circle, ab is the diameter and do is perpendicular to ab. prove that angle AEC= ANGLE

maksim [4K]

The given triangles ΔDOA and ΔABC are right triangles that have a

common vertex at point <em>A</em>.

<u>ΔDOA is similar to ΔABC, and </u><u>∠AEC</u><u> is equal to </u><u>∠ABC,</u><u> therefore, ∠AEC = ∠ODA</u>

Reasons:

The given parameters are;

The diameter of the circle with center <em>O</em> = AB

DO ⊥ AB (DO is perpendicular to AB)

Required:

Prove that ∠AEC = ∠ODA

A two column proof is presented as follows;

Statement ${}$ Reason

1. AB is the diameter of circle <em> </em> ${}$ 1. Given

2. DO is perpendicular to AB <em> </em> ${}$ 2. Given

3. ∠DOA = 90° <em> </em> ${}$ 3. Definition of DO ⊥ AB

4. ∠BCA = 90° <em> </em> ${}$ 4. Thales theorem

5. ∠BCA ≅ ∠BCA <em> </em> ${}$ 5. Reflexive property

6. ΔDOA ~ ΔABC <em> </em> ${}$ 6. AA similarity postulate

7. ∠ABC ≅ ∠ODA <em> </em> ${}$ 7. CASTC

8. ∠ABC = ∠ODA <em> </em> ${}$ 8. Definition of congruency

9. ∠AEC ≅ ∠ABC <em> </em> ${}$ 9. Angles in the same segment

10. ∠AEC = ∠ABC <em> </em> ${}$ 10. Definition of congruency

11. ∠AEC = ∠ODA <em> </em> ${}$ 11. Transitive property of equality

In statement 6, ΔDOA is similar to ΔABC by Angle-Angle, AA, similarity

postulate, therefore, the three angles of ΔDOA are congruent to the three

angles of ΔABC.

Therefore ∠ABC ≅ ∠ODA by Corresponding Angles of Similar Triangles

are Congruent, CASTC.

Learn more about circle theorem here:

brainly.com/question/16879446

7 0

3 years ago

A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the

love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0

3 years ago

Given the figure below, find the values of x and z.

Lera25 [3.4K]

Answer:

z=98 and 5x+57 and z are supplementary.

Step-by-step explanation:

vertical angles theorem

5 0

3 years ago

Read 2 more answers

Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

patriot [66]

<span>Carla is renting a canoe. It’s cost $80 for 2 hours and $160 for 4 hours. What is the rate per hour?

If we want to get a full understanding of this question we must use the information given.

If renting the canoe cost $80 per 2 hours, to get 1 hour we must divide $80 by 2.

</span> $\frac{80}{2}=40$

or $40

We can also use $160 and 4 hours

$\frac{160}{4}=40$

or $40

So the rate per hour is $40

8 0

3 years ago

Read 2 more answers