1/3(2x-1)<1/5(x+3)-1​

Answer:

m<HJK = 40°

Step-by-step explanation:

Given:

m<HJK = 3x - 2

m<KJL = 50°

Required:

m<HJK

Solution:

m<HJK + m<KJL = 90° (complementary angle)

Substitute

3x - 2 + 50 = 90

Add like terms

3x + 48 = 90

3x + 48 - 48 = 90 - 48

3x = 42

3x/3 = 42/3

x = 14

✅m<HJK = 3x - 2

Plug in the value of x

m<HJK = 3(14) - 2 = 42 - 2

m<HJK = 40°

9514 1404 393

Answer:

  B, C, D

Step-by-step explanation:

In this diagram, all of the acute angles are congruent. Those are angles 2, 4, 6, and 75°. Similarly, all of the obtuse angles are congruent. They are supplementary to the acute angles, so we have angles 1, 3, (x-15)°, and 5 all have measure 180° -75° = 105°.

This means x = 105° +15° = 120°.

The true statements are ...

  B. angle 2 = angle 6

  C. x = 120°

  D. angle 1 and angle 6 are supplementary

Answer:

2

Step-by-step explanation:

Answer:

23=x-13, x=36

9+x=14, x=5

12=x+8, x=4

Step-by-step explanation:

23=x-13. You want to isolate x so you have to add 13 to both sides. x=23+13, x=36

9+x=14. You want to isolate x so you have to subtract 9 from both sides. x=14-9, x=5.

12=x+8. You want to isolate x so you have to subtract 8 from both sides. x=4.

If this has helped please mark as brainliest

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

B) All real numbers

The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .

Answer:

The answer may or may not be either the diameter is 36 units, or the radius is 18 units.

Step-by-step explanation:

Since there is no question, then I am just assuming the question is what is the diameter or the radius. You would find this by dividing the circumference by pi:

113.04 / 3.14 = the diameter is 36

36 / 2 = the radius is 18

I hope this was helpful!!! Could I get brainliest?

Have a nice day!!

Answer:

32

Step-by-step explanation:

8÷2=4 8(length)x4(width)=32(area)

Answer:

it's actually 32,768 so yeah

but choose either c or d

Answer:

[tex]\sigma = 0.831[/tex] --- Standard deviation

[tex]Mode = 10[/tex]

Step-by-step explanation:

Given

[tex]x = 9,8,10,9,8,10,9,10,8,10[/tex]

Solving (a): The population standard deviation

First, we calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{9+8+10+9+8+10+9+10+8+10}{10}[/tex]

[tex]\bar x = \frac{91}{10}[/tex]

[tex]\bar x = 9.1[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{\frac{1}{n}\sum (x - \bar x)^2}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{1}{10}*[(9 - 9.1)^2+.................+(10- 9.1)^2]}[/tex]

[tex]\sigma = \sqrt{\frac{1}{10}*6.9}[/tex]

[tex]\sigma = \sqrt{0.69}[/tex]

[tex]\sigma = 0.831[/tex]

The mode is:

[tex]Mode = 10[/tex]

10 has the highest frequency of 4

Answer: d and e

Step-by-step explanation:

Edge 2021

The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation  [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation is

[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]

From the given equation,

a = 40

b = 96

(h,k) = (0,0),

The vertices are at (0,96) and at (0, -96).

The curves open upward and downward.

c² = a² + b²

c² = 40² + 96²

c² = 10816

c = 104

Therefore the foci are at (0, -104) and (0, 104).

Hence, the option describes the graph

4. a vertex at (0, 96) is correct.

5. the center at (0, 0) is correct.

Learn more about equations here;

https://brainly.com/question/27056029

#SPJ2

Answer: x=23/30

Step-by-step explanation: Hope this help :D

Answer:

Value of ∠1 = 102°

Value of ∠1 = 72°

Step-by-step explanation:

Given:

∠ S = 42°

∠ A = 30°

Find:

Value of ∠1

Value of ∠2

Computation:

Using angle sum property;

Sum of all interior angle of a triangle = 180°

∠ S + ∠ A + ∠ 1 = 180

42 + 30  + ∠ 1 = 180

72 + ∠ 1 = 180

∠ 1 = 180 - 72

∠ 1 = 102

Value of ∠1 = 102°

∠ 1 and ∠ 2 makes a straight line

So,

∠ 1 + ∠ 2 = 180  

102 + ∠ 2 = 180  

∠ 2 = 180 - 102

∠ 2 = 72

Value of ∠1 = 72°

Answer:

D. 1.95 units clockwise

Step-by-step explanation:

I calculated it logically

Answer:

heyy matee...

see

Vertices (V) = 8

Faces (F) = 6

Edges (E) => F + V - E = 2 (EULER'S FORMULA)

so 6 + 8 - 2 = E => E = 12

now just look at options

and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid

and another name of cuboid is rectangular prism ;)

hence answer is option c - rectangular prism

brainliest possible ?

LOL LOL LOL LOL LOL LOL LOl LOL

Answer:

1408 packs

2 pens left over

Step-by-step explanation:

5634 / 4 = 1,408.5

half a pack is 2 pens

1408 packs

2 pens left over

Answer:1/16 for each of us

Step-by-step explanation:

Since only 1/4 is left and you and the teachers are splitting it up,you’d get 1/16 each because the half of 1/4 (1/8) was split into 2 (1/16)

Answer:

3 zero

Step-by-step explanation:

Answer:

The correct answer is A

Step-by-step explanation:

Hope This Helps

Answer:

[tex]H = 6492.97[/tex]

Step-by-step explanation:

Given

[tex]H = \frac{I^2Rt}{4.2}[/tex]

[tex]R =8.3;\ I=2.4;\ t=37[/tex]

Required

Find H

We have:

[tex]H = \frac{I^2Rt}{4.2}[/tex]

[tex]H = \frac{37^2 * 8.3 * 2.4}{4.2}[/tex]

Solve the exponents

[tex]H = \frac{1369 * 8.3 * 2.4}{4.2}[/tex]

[tex]H = \frac{27270.48}{4.2}[/tex]

[tex]H = 6492.97[/tex]

9514 1404 393

Answer:

  a. the volume of cube y is 125 times the volume of cube x

Step-by-step explanation:

The volume of cube x is ...

  V = s³ = (1 in)³ = 1 in³

The volume of cube y is ...

  V = (1 in + 4 in)³ = (5 in)³ = 125 in³

The volume of cube y is 125 times the volume of cube x.

Given:

The expression is:

[tex]2.74x-7.9[/tex]

To find:

The expressions that can be set equal to the given expression to form an equation that has no solution.

Solution:

We have,

[tex]2.74x-7.9[/tex]                     ...(i)

An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.

The expression with same variable term and different constant term is:

[tex]2.74x+7.9[/tex]                    ...(ii)

Because on equating (i) and (ii), we get

[tex]2.74x-7.9=2.74x+7.9[/tex]

[tex]-7.9=7.9[/tex]

This statement is false for any value of x. So, the equation [tex]2.74x-7.9=2.74x+7.9[/tex] has no solution.

Therefore, the correct option is C.

Answer:

The radius of the sphere is of 6.6 centimeters.

Step-by-step explanation:

Volume of an sphere:

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this question:

[tex]V = 1203 \text{cm}^{3}[/tex]

Replacing into the equation, we find the radius, in centimeters. So

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]1203 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{1203*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{1203*3}{4\pi}}[/tex]

[tex]r = 6.6[/tex]

The radius of the sphere is of 6.6 centimeters.

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

Answer:

8. 24.5

9. 29.6

Step-by-step explanation:

FRACTION. 24.5 as a Fraction in simplest form   24 1/2

29.6 as a fraction is 29 3/5

plz mark brainly

Answer:

The maximum customer age recorded in the hisorograhm would be 30

The differiance of 27-30 and 19-22 would be 6

The total number of cutomers would be 60

The total number of people under 23 is 42

Answer:

the number of customers less than 23 years old recorded in the histogram: 42

the difference of the number of

customers in the age groups 27–30 and

19–22 recorded in the histogram: 6

the maximum customer age recorded in

the histogram: 30

the total number of customers recorded in

the histogram: 60

Step-by-step explanation:

Answer:

First row (2x + 5 = 9) is N Y N

Second row (2x + 5 < 9) is Y N Y

Third Row (2x+ 5 _< 9) is N Y Y

Answer: 12 days

Step-by-step explanation:

For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:

Multiples of 4 = 4, 8, 12, 16, 24.

Multiples of 6 = 6, 12, 18, 24, 30.

The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days

Answer:

Cats Owned B. 2 3

Hope I helped! :)

Answer:

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

[tex] \frac{1}{3} = \frac{2}{6} [/tex]

[tex] \frac{2}{4} = \frac{4}{8} [/tex]

Step-by-step explanation:

To generate equivalent fractions, you can either multiply the numerator and denominator by the same number or divide the numerator and denominator by a number provided the numerator and denominator remains whole number.

Let's solve the given problem:

Problem 1:

[tex] \frac{3}{4} = \frac{x}{12} [/tex]

To find the numerator that will make the fractions equivalent, the numerator would be multiplied by the same number that was used to multiply the denominator of the first fraction (4), from which the denominator of the second fraction (12) was gotten.

Here, the denominator of the first fraction, 4, was multiplied by 3 to get the denominator of the second fraction = 12.

Therefore, the numerator of the second fraction would be gotten by multiplying the numerator of the first fraction, 3 by 3 = 9.

Thus:

[tex] \frac{3}{4} = \frac{3*3}{4*3} [/tex]

[tex] \frac{3}{4} = \frac{9}{12} [/tex]

Both fractions are now equivalent because they now have the same value. 3÷4 will give you the same value as 9÷12.

Problem 2:

[tex] \frac{1}{3} = \frac{2}{x} [/tex]

The numerator, 1, was multiplied by 2 to get 2.

Therefore:

[tex] \frac{1}{3} = \frac{1*2}{3*2} [/tex]

[tex] \frac{1}{3} = \frac{2}{6} [/tex]

Problem 3:

[tex] \frac{2}{4} = \frac{x}{y} [/tex]

We can either divide the denominator and numerator by the same number which should remain a whole number, or multiply the denominator and numerator by the same number.

Let's multiply by 2 to get am equivalent fraction.

[tex] \frac{2}{4} = \frac{2*2}{4*2} [/tex]

[tex] \frac{2}{4} = \frac{4}{8} [/tex]