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Ymorist [56]
3 years ago
8

Age problem. Dave is twice as old as Matt. Five years ago the sum of their ages

Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

Dave: 36 years old

Matt: 18 years old

Step-by-step explanation:

Dave's age can be expresses as 2x of Matt (which is only x).

If 5 years ago the sum was 44, after this time the sum will be 44 + 5*2(person) = 54

Follow this expression:

2x+x=54

3x=54

x=18

Dave is 2x (36 years old) and Matt is 18 years old.

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What is the value of angle x°?
erastova [34]

Answer:

64^\circ

Step-by-step explanation:

Please refer to the attached figure for the labeling and construction in the given figure:

Given that minor angle of arc AB is 116^\circ.

Or in other words, we can say that angle subtended on the center O by the arc is 116^\circ.

Now, PA and PB are the tangents so, if we join the center of circle O with A and B, the angles formed are right angles.

i.e.

\angle PAO = 90^\circ\\\angle PBO = 90^\circ

Now, we know that sum of internal angles of a quadrilateral is equal to 360^\circ.

Here, we have the quadrilateral AOPB.

\therefore \angle PAO +\angle PBO+\angle AOB +\angle APB=360^\circ\\\Rightarrow 90+90+116+x=360^\circ\\\Rightarrow x = 360 - 180 - 116\\\Rightarrow x = 64^\circ

Hence, the correct answer is:

x = 64^\circ

3 0
4 years ago
Factor 4a^2-25. Please
Dmitrij [34]

Answer:

(2 a - 5) (2 a + 5)

Step-by-step explanation:

Factor the following:

4 a^2 - 25

4 a^2 - 25 = (2 a)^2 - 5^2:

(2 a)^2 - 5^2

Factor the difference of two squares. (2 a)^2 - 5^2 = (2 a - 5) (2 a + 5):

Answer: (2 a - 5) (2 a + 5)

8 0
3 years ago
PLEASE HELP ME SOLVE THIS QUESTION
r-ruslan [8.4K]

Its not that long think hard 1

5 0
3 years ago
Read 2 more answers
What fraction completes the equation using a like denominator when adding 1/3 + 3/6 ?
pashok25 [27]

Answer:

The answer is 2/6 .

Step-by-step explanation:

In order to make the denorminator the same, you have to multiply both numerator and denorminator by 2 :

\frac{1 \times 2}{3 \times 2}

=  \frac{2}{6}

8 0
3 years ago
When Katya factored 288, she listed these factors: 1, 2, 3, 6, 8, 9, 12, 16, 18, 32, 36, 48, 72, 96, and 288. Use a factor rainb
REY [17]

Answer:

Please find a representation of the factor rainbow below.

The missing factors are: 4, 24, and 144

Step-by-step explanation:

The factors of a number are those numbers that can divide another number without remainder. In this case where Katya factored 288, it means she listed the numbers that can divide 288 without reminder (factors of 288). However, among the factors she listed, THREE factors are missing.

To get the missing factors, we can use a FACTOR RAINBOW, which is a display of the factors of a number in a rainbow shape. The factors are arranged from smallest to largest number in such a way that the two numbers attached to a line can be multiplied to give the original number.

From the attached factor rainbow (see attached image), it can be observed that factors:  4, 24, and 144 are missing in the list of factors Katya provided.

4 0
3 years ago
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