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3 years ago

Please help I WILL GIVE BRAINLIEST

Mathematics

1 answer:

Ksju [112]3 years ago

6 0

Answer:

$\triangle{XAZ} \cong \triangle{XBY}$ by the SAS postulate (side-angle-side)

Step-by-step explanation:

This is an overlapping triangles problem. Try drawing them separately, essentially pulling them apart. Mark side XY and XZ as congruent (given).

Angle X is shared by the two triangles, so angle X in triangle XAZ is congruent to angle A in triangle XBY.

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If X and Y are distinct digits such that the eight-digit number 7448X24Y is divisible by both 8 and 9, then find X - Y.

Talja [164]

The value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

<h3>How to determine the distinct digits X and Y?</h3>

The eight-digit number is given as:

7448X24Y

Also, from the question

The number is divisible by 8 and 9

When a number is divisible by 8, then the last three digits of that number would be divisible by 8.

When a number is divisible by 9, the sum of the digits of the number would be divisible by 9.

So, we have:

24Y is divisible by 8

The possible value of Y from the above statement is 0

This is so because 240 is divisible by 8

The sum of the digits of the number would be divisible by 9.

This means that:

7 + 4 + 4 + 8 + X + 2 + 4 + Y = 29 + X + Y

Substitute 0 for Y

29 + X + Y = 29 + X + 0

Evaluate the sum

29 + X + Y = 29 + X

36 is divided by 9

So, we have

29 + X = 36

Subtract 29 from both sides of the equation

X = 7

So, we have

X = 7 and Y = 0

X - Y is calculated as:

X - Y = 7 - 0

Evaluate the difference in the above equation

X - Y = 7

Hence, the value of X - Y such that the eight-digit number 7448X24Y is divisible by both 8 and 9 is 7

Read more about digits at:

brainly.com/question/26856218

#SPJ1

7 0

2 years ago

Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that repre

Sunny_sXe [5.5K]

Let r represent Rick’s height.
Therefore, the quotient of Rick’s height and 4
$= \frac{r}{4}$
Fred is 5 inches shorter than the quotient of Rick’s height and 4.
Therefore, an expression that represents Fred’s height is
$\frac{r}{4} - 5$

Answer:

$\frac{r}{4} - 5$

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0

2 years ago

Read 2 more answers

A rectangle that is 2 inches by 3 inches has been scaled by a factor of 7.

loris [4]

Answer:

$New\ Lengths = (14,21)$

$New\ Scale\ Factor = \frac{1}{7}$

Step-by-step explanation:

Given

Rectangle:

Length = 2 in

Width = 3 in

Scale Factor = 7

Solving (a):

The side lengths of the new scale is calculated as follows;

New Lengths = Old Lengths * Scale Factor

$New\ Lengths = (2,3) * 7$

$New\ Lengths = (2 * 7,3* 7)$

$New\ Lengths = (14,21)$

Solving (b): To go back to the original length

Given that the initial scale factor is 7;

The new scale factor is the reciprocal of the old factor;

Hence;

$New\ Scale\ Factor = \frac{1}{7}$

6 0

4 years ago

Can anyone help me solve this? Will mark brainliest if correct.

wlad13 [49]

Answer:

will any girl be my gîrlfriend?

8 0

3 years ago

What percentage of tickets sold were to seniors?

Kay [80]

<u>Given</u>:

The number of tickets sold to children $=35+87+62=184.$

The number of tickets sold to adults $=56+177+205=438.$

The number of tickets sold to seniors $=32+14+54=100.$

To determine the percentage of tickets sold to seniors we need to determine the total number of tickets sold to each category.

<u>To determine the percentage of tickets sold to seniors:</u>

In order to determine the percentage of tickets sold to the seniors, we divide the tickets sold to seniors by the total number of tickets sold to children, adults, and seniors.

This value is multiplied with 100 to convert it into a percentage.

The number of tickets sold to seniors $=100.$

The total number of tickets sold to children, adults, and seniors $= 184+438+100=722.$

The percentage of tickets sold to seniors $= \frac{100}{722} (100) = 0.1385(100)=13.85\%.$

Rounding this off, we get the value as 13.9%

Hence, option 1 is the correct answer.

8 0

4 years ago