What is the value of y?

Answer:

 [tex]2. m\angle H+m\angle J +m\angle K =180^{\circ}[/tex]

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement  1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

[tex]S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}[/tex]

3) We can also say

[tex]m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}[/tex]

Similarly to the other triangle:

[tex]m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}[/tex]

4) Hence,

[tex]2. m\angle H+m\angle J +m\angle K =180[/tex]

Reason: The sum of interior angles is equal to 180º.

Answer:

B

Step-by-step explanation:

Answer:

Option (A). OB

Step-by-step explanation:

Angle bisector of any angle is a line segment that divides the angle into two equal parts.

From the given picture,

m∠MOB ≅ m∠NOB

(25 + 35)° ≅ (28 + 32)°

60° ≅ 60°

Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)

Option (A). will be the answer.

Answer:

Density = 13.57 g/cm³

Step-by-step explanation:

▪Volume = 3 cm³

▪Mass = 40.7 grams.

▪Density (p) = Mass (m) ÷ Volume (v)

p = m ÷ v

p = 40.7 ÷ 3

p = 13.56666

p = 13.57 g/cm³

Answer:

B

Step-by-step explanation:

A function cannot have more than one point on the same x coordinate. So, B is the only option that works.

Answer:

135 degree

Step-by-step explanation:

total sum of angle = (8-2) * 180 = 1080

each angle = 1080/8 = 135 degree

=========================================================

How to get this answer:

Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.

So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.

Through similar steps, we see that g(5) = -5

Therefore,

4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6

Answer:

3/10

Step-by-step explanation:

Half of 3/5 is 3/10

Brainliest plss

Answer:

3/10

Step-by-step explanation:

You multiply 3/5 by 1/2.

3/5 x 1/2= 3/10

Hope I could help :)

Answer:

the answer is D

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

sin 30° = 1/2

sin is opponent/hypotenuse

so

opp/hyp = 4/x = 1/2

x = 4 * 2 = 8

Answer:

[tex]\displaystyle x=8[/tex]

Step-by-step explanation:

[tex]\displaystyle x=\frac{sin(90) \times 4 }{sin(30)}[/tex]

[tex]\displaystyle x=8[/tex]

Answer:

About 51.5%

Step-by-step explanation:

The volume of the prism currently is (9*4)/2*11=18*11=198 cubic feet. If you added a foot to each dimension, the volume would be 10*5/2*12=25*12=300. (300-198)/198=102/198 a percent increase of about 51.5%. Hope this helps!

Answer:

About 51.5%

Step-by-step explanation:

Answer:

1) 13.3 cm

2) 48.3 cm

Step-by-step explanation:

1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.

Let OB = x, OC = OB + BC = x + 8

Therefore:

[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]

The height of triangle ODC = OC =  x + 8 = 5.3 + 8 = 13.3 cm

2) Using Pythagoras theorem:

OD² = OC² + DC²

OD² = 13.3² + 15²

OD² = 401.89

OD = √401.89 = 20 cm

2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm

Answer:

Option (2)

Step-by-step explanation:

                          Statements                                Reasons

1). ∠1 is comp. to ∠2                                1. Given

2). ∠2 is comp. to ∠3                              2. Given

3). ∠1 + ∠2 = 90°                                      3. def. of comp. angles

4). m∠1 = 90° - ∠1                                    4. Subtr. equality property

5). m∠2 + m∠3 = 90°                              5. def. of comp. angles

6). m∠3 = 90° - m∠2                               6. subtr. equality property

7). m∠1 = m∠3                                         7. Transitive property

Option (2) will be the answer.

Both angle ∠1 and ∠3 are complementary to ∠2, therefore, ∠1 + ∠2 = 90°

and by properties of equality, ∠1 = ∠3.

Response:

The completed two column proof is presented as follows;

Statements  [tex]{}[/tex]                             Reasons

1. ∠1 is comp. to ∠2  [tex]{}[/tex]               1. Given

2. ∠2 is comp. to ∠3  [tex]{}[/tex]             2. Given

4. m∠1 = 90° - m∠2  [tex]{}[/tex]                4. Subtraction equality property

5. m∠2 + m∠3 = 90°  [tex]{}[/tex]              5. Definition of complementary angles

6. m∠3 = 90° - m∠2  [tex]{}[/tex]                6. Subtraction equality property

7. m∠1 = m∠2   [tex]{}[/tex]                        7. Transitive property

Details of the solution:

Given that ∠1 is complementary to ∠2, we have;

∠1 + ∠2 = 90°

Similarly, by definition of complementary angles, we have;

∠2 + ∠3 = 90°

Which gives;

∠3 + ∠2 = 90°

Therefore;

∠1 + ∠2 = ∠3 + ∠2

Subtracting ∠2 from both sides (subtraction property of equality), gives;

∠1 + ∠2 - ∠2 = ∠3 + ∠2 - ∠2

∠1 + 0 = ∠3 + 0

Which gives;

∠1 = ∠3

Learn more about properties of equality here

https://brainly.com/question/7187454

https://brainly.com/question/11178235

Answer:

[tex]y = \frac{5}{2} x^{2}[/tex]

Step-by-step explanation:

When you scale a parabola vertically, you multiply the [tex]x^{2}[/tex] by what you are scaling it vertically by.

For example, say you have  [tex]y = 8x^{2}[/tex]. That means that  [tex]y = x^{2}[/tex] was scaled vertically by a factor of 8.

I hope this helps!

Answer:

Step-by-step explanation:

This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that

6x + 6 = 9x - 9 and

15 = 3x so

x = 5

Answer:

C

Step-by-step explanation:

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

-a book

-a flash card

-the american flag

-post-it

-pencil case

-calculator

-phone

-dollar bill

-tv

-ruler

Step-by-step explanation:

________________________________

Hey!!

Ten examples of rectangles that I observed in my daily life are as follows:

________________________________

Answer:

5

Step-by-step explanation:

|a−b| − |c+d| , if a=−5; b=4; c=1; d=−3

= a + b - c + d

= 5 + 4 - 1 + (-3)

= 5 + 4 - 1 - 3

= 5 + 4 - 4

= 5

Answer:

$3.70

Step-by-step explanation:

So you have $8.50

You but a candy bar for $3.20

8.50-3.20=5.30

you have $5.30 left to spend

From your remaining $5.30 you buy a chocolate bar that is $1.60

5.30-1.60=3.70

Leaving you with $3.70

Answer:

The value of X is 75°

<EFB +105°=180° (Being straight line)

<EFB=180-105

<EFB= 75°

X = <EFB = 75°. (corresponding angle)

Answer: The answer is provided below

Step-by-step explanation:

From the question, a box contains 20 miniature golf putt-putt balls out of which 10 are yellow, 6 are red, and the remaining 4 are pink.

The probability of picking a red golf ball will be:

= 6/20 × 100

= 600/20

= 30%

If the red ball is replaced, the probability of picking a yellow golf ball will be:

= 10/20 × 100%

= 50%

Answer:

A graph using y=mx+b would include a positive or negative line (slope) and a y-intercept. If there is a y-intercept between 1 & infinity then the line will not start on the origin. y=mx+b doesnt have to include a y-intercept though. It can include a y-intecept of 0. This would mean that the line would start on the origin. y=mx+b will ALWAYS be a straight line.

Step-by-step explanation:

Hope this helps :)

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]

Answer:

So in this question im guessing you simplify with parenthesis

Since its too easy, I cant really explain, but heres the answer:

(q+3)*10

Answer:

No it isn't a function one of the x values, -3, repeats

Step-by-step explanation:

Answer:

google

Step-by-step explanation:

Step-by-steP

LA FÓRMULA ES:

arc = πrΘ/180