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Answer

number

4.D

5.B

6.C

Answer:

m<GLK = 58°

Step-by-step explanation:

Given:

m<GLH = 2x + 6

m<HLJ = x

Required:

m<GLK

Solution:

First, find the value of x

m<GLH + m<HLJ = 180° => Linear Pair Theorem

Substitute

2x + 6 + x = 180

Add like terms

3x + 6 = 180

3x + 6 - 6 = 180 - 6

3x = 174

3x/3 = 174/3

x = 58

m<HLJ = x = 58°

Thus, m<HLJ and m<GLK are Vertical angles.

Therefore:

m<GLK = m<HLJ (Vertical angles theorem)

m<GLK = 58° (Substitution)

Answer:

3828 people

Step-by-step explanation:

The ratio is 4:15

A ratio indicates how many times one number contains another.

Given:

low-top sneakers= 4

high-top sneakers= 7

sandals= 3

boots = 1

Total shoes= 15

Now,

low- top sneakers : totals shoes

=4:15

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Answer:

the easiest way to get these numbers is to graph the function, i use desmos.

Step-by-step explanation:

the axis of symmetry is -1

the vertex is -1, 0.5

the domain is all real numbers

the range is all real numbers that are <= 0.5

Answer:

24 dollars

Step-by-step explanation:

each pound is $1.60 and 15 times $1.60 equals 24

Answer:

$24

Step-by-step explanation:

5/8=15/x

cross product

8*15=5*x

120=5x

x=120/5

x=24

Answer:

97

Step-by-step explanation:

Answer:

Step-by-step explanation:

Explanations are below

Step 1

(100-3)  Observe the equation

Step 2

(100-3)  Simplify

100-(+3)

100-3

Answer: 97

The value of the given expression is 5^(3/4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be resolved as shown below,

5² ÷ √5

[tex]= \dfrac{5^2}{\sqrt5}\\\\\\[/tex]

Using the law of exponents, [tex]\sqrt[n]{m} = m^{\frac1n}[/tex],

[tex]= \dfrac{5^2}{5^{\frac12}}\\\\\\[/tex]

Using the law of exponents, [tex]m^x\times m^y = m^{x+y}[/tex],

[tex]= {5^2} \times {5^{-\frac12}}[/tex]

Solving the powers,

[tex]= {5^{2-\frac12}}\\\\= 5^{\frac34}[/tex]

Hence, the value of the given expression is 5^(3/4).

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Answer:

x = 9

Step-by-step explanation:

According to Pythagoras theorem a² + b² = c²

Given that

a = x

b = x

c = 9√2

Substitute'

x² + x² = (9√2)²

2x² = 81 * 2

x² = 81

x = √81

x = 9

Hence the value of x is 9

Answer:

83 inches

Step-by-step explanation:

[tex] \boxed{ \tt{the \: dimensions \: are : }}\\ \boxed{ \tt{b = 9 \: meters} }\\ \boxed{ \tt{l = 20 \: meters}}[/tex]

[tex]5 {s}^{2} = (3 + s) \times (14 + s) \\ 5 {s}^{2} = {s}^{2} + 17s + 42 \\ {4s}^{2} - 17s - 42 = 0 \\ s = \frac{ - ( - 17) + \sqrt{ {( - 17)}^{2} - 4(4)(42)} }{2(4)} \\ s = \frac{17 + 31}{8} \\ s = 6 \\ hence \to \:the \: dimensions \: are : \\ b = s + 3 = 6 + 3 = 9 \: meters \\ l = s + 14 = 6 + 14 = 20 \: meters[/tex]

The new dimensions of the pool are; Width = 9 and Length = 20.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

It is given that the square pool was turned into a rectangular one and it's area was enlarged by a factor of 5 by enlarging one side of the pool by 3 meters and the other side by 14.

[tex]5s^2 = (3+s)(14 +s)\\\\5s^2 =s^2+ 17s + 42\\\\4s^2 - 17s - 42 = 0\\\\[/tex]

The root of the expression;

[tex]s = \dfrac{-(-17) + \sqrt{-17^2 - 4(4)(42)} }{2(4)} \\\\s = 6[/tex]

The dimensions are;

Width = 3 + s = 9

Length = 14 + s = 20

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Answer

342 is one

Step-by-step explanation:

Answer:

6 and 19

Step-by-step explanation:

x+2x+7=25

3x=18

x=6

the other number is 19

Answer:

the expected total amount of time in minutes is 88.4

Step-by-step explanation:

The computation of the expected total amount of time in minutes is given below:

= Standard deviation × needed to answer calls each day

= 1.7 × 52

= 88.4

hence, the expected total amount of time in minutes is 88.4

Answer:

4,050 cubic feet

Step-by-step explanation:

The figure is made up of a square pyramid and cube

Therefore:

Volume of the figure = volume of the square pyramid + volume of the cube

✔️Volume of the square pyramid = ⅓*a²h

a = 15 ft

h = 9 ft

Volume of square pyramid = ⅓*15²*9 = 675 ft³

✔️Volume of the cube = s³

s = 15 ft

Volume of the cube = 15³ = 3,375 ft³

✔️Volume of the figure = 675 + 3,375 = 4,050 cubic feet

Answer:

-12r + 8s

Explanation:

Since there is a subtraction sign in front of 16r, to combine it with 4r, it must be subtracted, resulting in -12 r (to subtract a greater number from a smaller number, subtract the smaller number from the greater number and make it negative). Since there is an addition sign in front of 3s, to combine it with 5s, the two must be added. 5s + 3s = 8s. When combined, the result is -12r + 8s.

Answer:

Here ya go ! :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

Answer:

Step-by-step explanation:jj

Answer:

Blue: 1/5

Red: 3/10

Yellow: 1/2

a a a a        a a a aa aaa a a aaaa

Answer: it's 5x and - 4x

equation is 4 x² + x -5

the factors of     -20  =  - 4 × 5

                            4 x² + 5x - 4x -5

                           x ( 4 x +5) -1 ( 4x +5)

                           (x -1) (4 x +5

Answer:

-1

Step-by-step explanation:

mean, mu = 135.

Standard deviation = 20

X = 115

use the z score formula : [tex]z = \frac{x-mu}{standard deviation}[/tex]

to get (115-135)/20 = -1

Answer:

-3÷2

Step-by-step explanation:

if you have solving for x

1st step: will be to set up the function =0

so 2x+3=0

then 2x=-3

so x= -3/2

See attachment to get your answer. Thanks.

Answer:

-4/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-5)/(9-2)

m=-4/7