Find the value of x

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

Answer:

4x + 5

Step-by-step explanation:

Answer:

AB = 8.66 m

Step-by-step explanation:

Here, we want to get the length AB

What we have is a right triangle

so to get the length AB, we are going to use the appropriate trigonometric ratio

From the question, AB faces the given angle and that makes it the opposite

AC faces the right angle and that makes it the hypotenuse

The relationship between the hypotenuse and the opposite can be defined by the sine

the sine of an angle is the ratio of the length of the opposite to the hypotenuse

so, we have it that;

sine 60 = AB/10

AB = 10 * sine 60

AB = 8.66 m

Answer:

x = 38

Step-by-step explanation:

The chord- chord angle HWO is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (x - 2 + x + 6) = 40 ( multiply both sides by 2 to clear the fraction )

2x + 4 = 80 ( subtract 4 from both sides )

2x = 76 ( divide both sides by 2 )

x = 38

Answer:

1.04

$45,552

Step-by-step explanation:

new price = 1.04 * original price

new price = 1.04 * 43,800

newprice: $45,552

Answer:

a. In one minute it will fall 200 feet.

b. In two minutes it will fall 400 feet.

c. In three minutes it will fall 600 feet.

Step-by-step explanation:

a. The information given states that each minute it falls 200 feet. That means that for one minute it has fallen 200 feet.

b. 200 + 200 because another minute has passed.

c. 400 + 200

Answer:

50%

Step-by-step explanation:

To solve this you would do 1350/2700 which is 50%

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

[tex]8 - 5 = 3[/tex]

Step-by-step explanation:

Given

[tex]8 - 5 =[/tex]

Required

Solve

Step 1: Write as addition

Simply change the positions of -5 and (+)8

[tex]8 - 5 = -5 + 8[/tex]

Step 2: Add

[tex]8 - 5 = 3[/tex]

Answer: Hello your question lacks some details attached below is the complete question

answer:

Step-by-step explanation:

The steps required to draw an arc intersecting the line that will create a segment with length PQ are ;

Place a compass at point Q ,  measure arc PQ

Draw an arc with the compass that is equal to PQ ,  Place the compass at point R ,   cut through the line to the left of R with the arc in compass,

Assume the new points to be P' and R be Q' ,   where P' Q' will become the new image of PQ with their end point will be R

Answer:

Set the compass width to the length PQ by putting one end on P and the other and on Q

Without changing the width, move the compass so one end is on R and the other end is on the line containing R

Draw an arc across the line using R as the center

Mark the point where the arc crosses the line as point S

RS is the copied segment.

Step-by-step explanation:

Answer:

2nd option:  n + 5n = 42

Step-by-step explanation:

Answer:

x -12 = 7x

x = -2

Step-by-step explanation:

Let the number be x

12 less than the number is:

x -12

equals the product of 7 and that number (7 * x)

x -12 = 7x

7x - x = -12

6x = -12

x = -12/6

x = -2

Answer:

x =33.48537662

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin x = 32/58

Taking the inverse sin of each side

sin^-1 (sin x)  = sin ^-1( 32/58)

x =sin ^-1( 32/58)

x =33.48537662

Answer:

33.47 degrees

Step-by-step explanation:

sin=32/58

sin^-1(32/58)= 33.47

Answer:

( x+3 )² = 7

expand ( x+3 )² : x²+6x+9

x²+6x+9=7

x²+6x+2=0

use a scientific calculator casio mode setup click no 5 , then click 3 input the equation

a = 1

b = 6

c = 2

answer : x = -3+square root 7 or x = -3-square root 7

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

Answer:

Step-by-step explanation:

comparing corresponding elements

x + y = 13

2x - y = 2

Now use substitution method.

x + y = 13

x = 13 - y                 equation(i)

substitute the value of x

2x - y = 2

2(13 - y) - y = 2

26 - 2y - y = 2

-3y = 2 - 26

y = -24/-3

y = 8

substitute the value of y in eqaution(i)

x = 13 - y

x = 13 - 8

x = 5

therefore , x = 5 and y = 8

To check :

x + y = 13

when we add x and y then must come 13

5 + 8 = 13

13 = 13

2x - y = 13

substitute the value of x and y . REsult must come 2

2*5 - 8 = 2

10 - 8 = 2

2 = 2

10 - 8 = 2

Answer:

x = 5, y = 8

Step-by-step explanation:

Another way to write  (x+y, 2x-y)= (13, 2) is

x + y = 13 -- (1)

2x - y = 2 -- (2)

using the elimilation method,

Rewriting (1), y = 13 - x --(1)'

Replacing (1)' into (2),

2x - ( 13 - x) = 2

2x - 13 + x = 2

3x = 15

x = 5 -- (3)

Replacing (3) into (1),

5 + y = 13

y = 8 -- (4)

Accorindg to (3) and (4),

x = 5, y = 8

If this helps you, please give brainliest!

Answer:

22/7 ×5^2(area of circle is2πr^3

78.57

Answer: B

Step-by-step explanation: 12.8% of 635,000 = 81280

Answer:

4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11

a common denominator of 11 and 4 is 44

So 40 / 44 - 33 / 44 = 7/44

Check 4/11 * 2.5 = .909

3/4 = .75    

difference = .909 - .750 = .159

7/44 = .159

Answer:

missing side =19 ft

Step-by-step explanation:

area of a triangle =base *height/2

57=base*6/2

57*2=base*6

114=base*6

114/6=base

19 ft=base

Answer:

x =-8424

Step-by-step explanation:

x÷36= -234

Multiply each side by 36

x÷36  *36 = -234 *26

x =-8424

Answer:

x = -8424

Step-by-step explanation:

[tex]x \div 36 = -234\\\\\frac{x}{36} = -234\\\\x = -234 \times 36 = -8424[/tex]

33-7n is the required expression.

Have a nice day!!

Answer:

the answer is -7n+ 33

Step-by-step explanation:

i usually just add the constant difference to the first term to create the last value . it sometimes doesnt work but does most times

Answer:

x=16

Step-by-step explanation:

3*4=12

4*4=16

Answer:

x = 25.7

Step-by-step explanation:

We know the adjacent side to the angle and the hypotenuse on a right triangle

cos theta = adj / hyp

cos 18 = x/27

27 cos 18 =x

25.67852594=x

Rounding to the nearest tenth

x = 25.7

Answer:

Improper fraction: 39/34

Proper fraction: 1 5/34

Decimal: 1.147 (rounded to the nearest thousandths).

Step-by-step explanation:

Solve each expression given, if it has the same result, then the expressions is equivalent. Solve the given expression:

4 7/8 ÷ 4 1/4

First, change all fractions into improper fractions:

4 7/8 = (4 * 8)/8 + 7/8 = 32/8 + 7/8 = 39/8

4 1/4 = (4 * 4)/4  + 1/4 = 16/4 + 1/4 = 17/4

Next, find common denominators. Note that what you do to the denominator, you must do the numerator:

(17/4) * (2/2) = (34/8)

39/8 ÷ 17/4

Solve. First, change the division sign into multiplication, and then flip the second fraction:

39/8 ÷ 17/4 = 39/8 x 4/17

Multiply straight across:

39/8 x 4/17 = (39 x 4)/(8 x 17) = 156/136 = 39/34 (simplified), or 1 5/34.

~

Answer:

C

Step-by-step explanation:

the value of x is 5 sub 5 into the formula your ans will be -14