85°
4x + 21°
what do I am suppose

854x + 21what Do I Am Suppose

Answers

Answer 1

Answer:

x= 16

4x+21 = 85 degrees

Step-by-step explanation:

The angles shown are vertical angles and vertical angles are equal

85 = 4x+21

Subtract 21 from each side

85 -21 = 4x+21-21

64 = 4x

Divide by 4

64/4 = 4x/4

16 = x

Answer 2

Answer:

16degrees

Step-by-step explanation:

As these angle are (vertically opposite angles)

So,85=4x+21,

85-21=4x

x=64/4

x=16degrees


Related Questions

A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?

Answers

H=17ftB=8ft

Using Pythagoras theorem

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]

[tex]\\ \Large\sf\longmapsto P^2=225[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]

[tex]\\ \Large\sf\longmapsto P=15ft[/tex]

Answer:

Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)

Step-by-step explanation:

we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)

Rick spent 3/5 of his money on books. He spent another 2/7 of his money on stationary. What fraction of his money had he left?

Answers

Answer:

He has 4/35 of with money left

Step-by-step explanation:

1 - 3/5 - 2/7 = 4/35

This basically answers the question

What is a negative rational number times a positive integer?
A) A negative integer
B) A positive rational number
C) A negative rational number
D) An irrational number

Answers

Answer:

C

Step-by-step explanation:

The product of a negative rational number and a positive integer is a negative rational number

Answer: C (A Negative Rational Number)

Step-by-step explanation

A Negative number mutiplied by a positive number is a negative number.

Please click thanks and mark brainliest if you like

1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?

3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?

Answers

Answer:

a. he earn 14578.00 in that month.

Find the marked price if: Selling price =Rs 4999.50 and Discount percentage = 10%.​

Answers

Answer:

HOPE IT HELP YOU....

if it is right plz comment me .

ji and jl are opposite rays

Answers

what exactly are you looking for? you gave us no question to answer lol

HELP!
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
the ctarting line there are water stations every

Answers

Answer:

When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.

Answer:

It will always be less than both.

Step-by-step explanation:

Multiplying by something smaller than 1 will always make the result smaller, so taking something like

0.8⋅0.5 means that we are taking half of 0.8

OR 45 of 0.5 (same thing)

either way it makes it smaller, which means we will get something smaller than both.

Please help me solve this guys today is my last day & I’ve been trying so hard

Answers

y = x^2 - 3x - 4

Factored Form: y = (x - 4)(x + 1)

X-Intercepts: (4,0) and (-1,0)

Axis of Symmetry: x = 1.5

Vertex: (1.5, -6.25)

Domain: All real numbers

Range: y > -6.25

Hope this helps!

Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?

6

338

365

3,300

Answers

Answer:

338

Step-by-step explanation:

55miles/h,

it would take 310/55 =62/11 h to reach syracuse

62/11 h = 338.181818mins ≈ 338mins

338 because it is the right answer

1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm

Answers

Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.

Now using the Pythagorean theorem you can find the height:

Height - sqrt(1.2^2 - 0.75^2)

Height = sqrt(1.44 - 0.5625)

Height = sqrt(0.8775)

Height = 0.93675 meters

The height of the tent is smaller than the height of Suzie so she cannot stand up.

trigonometric identities

Answers

With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.

Then from the Pythagorean identity, it follows that

sin²(θ) + cos²(θ) = 1   ==>   sin(θ) = -√(1 - cos²(θ))

and so

sin(θ) = -√(1 - (-8/13)²) = -√105/13

Recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169

HELP PLEASE !! REAL ANSWER ONLY

find the surface area of the cylinder round to the nearest tenth ​

Answers

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

SHOW YOUR STEPS PLEASE. SOMEONE PLEASE HELP ME I NEED THE ANSWER ASAP!!!

The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function c(x)=1.7x^2-13.6+166.4, where x is the speed in kilometres per hour. At what approximate speed should the boat travel to achieve minimum cost? what is the minimum cost?​

Answers

Answer:

x = 4

139.2

Step-by-step explanation:

Given the Cost function :

C(x) = 1.7x² - 13.6x + 166.4

To achieve minimum cost ;

dc/dx = 0

dc/dx = 2(1.7)x - 13.6

3.4x - 13.6 = 0

3.4x = 13.6

x = 13.6 / 3.4

x = 4

To achieve minimum cost, speed = 4 ;

Minimum cost will be :

C(x) = 1.7x² - 13.6x + 166.4

Put x = 4

C(4) = 1.7(4)² - 13.6(4) + 166.4

C(4) = 27.2 - 54.4 + 166.4 = 139.2

Minimum cost = 139.2

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

Answers

We know

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

ATQ

[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]

[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]

Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q

unwanted ans will be reported

Answers

If it has infinite solutions

[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]

[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]

[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]

[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]

[tex]\\ \sf\longmapsto -p-q=6[/tex]

[tex]\\ \sf\longmapsto p+q=-6[/tex]

[tex]\\ \sf\longmapsto p=-6-q[/tex]

Take p as 1

.q=-6-1=-7

The curved part of this figure is a semicircle.

What is the best approximation for the area of this figure?

18+24.25π units²

18+12.125π units²

36+24.25π units²

36+12.125π units²

Answers

Answer:

carna estralia con frema es 36+12.125tt ernits es answeana

Step-by-step explanation:

Answer:

18+12.125π units²

please help me please i will give brainliest

Answers

Answer:

I think It would be A

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

(if its not im sorry :( )

if 5 hockey balls and 3 sticks cost $230.00 and 5 balls and 2 sticks cost $200 how much does one hockey ball cost?
step by step explanation:

Answers

Answer:

$28.

Step-by-step explanation:

We have the system of equations

5b + 3s = 230          (b = cost of 1 ball and s = cost of 1 stick).

5b + 2s = 200

Subtract the above from the first equation:

s = 30

So, substituting in equation 1:-

5b + 3(30) = 230

5b = 230 - 3(30) = 140

b = 28.

Checking in equation 2:-

5(28) + 2(30)

= 10 + 60

= 200.

- this checks out OK.

The cost of one hockey ball will be $28.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The system of equations from the given data are:-

5b + 3s = 230          (b = cost of 1 ball and s = cost of 1 stick).

5b + 2s = 200

Subtract the above from the first equation:

s = 30

So, substituting in equation 1:-

5b + 3(30) = 230

5b = 230 - 3(30) = 140

b = 28.

Therefore, the cost of one hockey ball will be $28.

To know more about an expression follow

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Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE

Answers

All triangles add up to 180 degrees so you’ll need to figure out what the two numbers you already have add up to then figure out the leftover and that’ll be your answer xx

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

Answers

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Answer:

combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense

Step-by-step explanation:

so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3

Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)​

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:



Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.

Question 2 options:

(x,y) → (x – 4,y)


(x,y) → (x,y + 4)


(x,y) → (x,y – 4)


(x,y) → (x + 4,y)

Answers

Answer:

(x , y )  -----> (x , y -4)

Step-by-step explanation:

There is no change in x-coordinate

Compare the y-coordinate of A(-4 , 7) and A'(-4 , 3)

7 + a = 3

    a = 3 - 7

   a = -4

y-coordinate of A' = y-coordinate of A  - 4

What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20

Answers

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

[tex]\frac{225}{20}[/tex] = x , that is

x = [tex]\frac{45}{4}[/tex] → E

The value of the x in the given triangle is 45/4.

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

Learn more about similar triangles click;

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1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).

Answers

Answer:

1..

solution....

here given

25cm

1m=100cm

now,

25/100=1/4

1:4

2....

(a+4)(a-4)

a^2-4^2

a^2-16

Step-by-step explanation:

hope it will help you

Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.

Answers

Answer:

2x-4(x+7)=2

Step-by-step explanation:

Peter's age:x.... twice age:2x

Phil's age:x+7...4times age:4(x+7)

Difference if ages is 2

Hence; 2x-4(x+7)=2

Answer:

Answer

4.9/5

38

loitzl9006

Ambitious

54 answers

6.5K people helped

Answer:

x=25

Step-by-step explanation:

we know that "x" is Peter's age

assume that "y" is Phil's age

In the sentence "Phil's age is 7 years more than 1/5 times than Peter's age" are two things: "Phil's age": y and "1/5 times Peter's age": 1/5 x

create equation with these two things

y = 1/5 x

including "7 years more"

many people make a lot of errors with it, they dont know: y+7 = 1/5 x or y=1/5 x + 7 ?

in order to avoid mistakes

read the sentence and point, which: y or 1/5 x is greater and smaller

"Phil's age is 7 years more than ..."

so y is greater, and 1/5 x smaller

y = 1/5 x

greater = smaller

we must add 7 to smaller number to make an equality

greater = smaller + 7

y = 1/5 x + 7

Second sentence:

"4 times Phil's age is 2 years less than twice Peter's age."

Two things: "4 times Phil's age": 4y and "twice Peter's age": 2x

4y = 2x

read the sentence once again

"4 times Phil's age is 2 years less than (...)" , so 4y - smaller, 2x - greater

4y = 2x

smaller = greater

including "2 years less" we add 2 to a smaller number

smaller + 2 = greater

4y + 2 = 2x

Substitute y=1/5 x + 7 to the equation 4y+2 = 2x

Step-by-step explanation:

If a change dispenser contains 32 coins consisting of
only dimes and quarters worth $5.15, how many
dimes are in the dispenser?

Answers

Answer:  19 dimes

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

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

-------------------------------

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.

determine the general term of this sequence -15:-11;-7;,,173

Answers

Answer:

UWUNOE BRO HUUZEM HIHUDHS

Step-by-step explanation:

Is it possible to build a triangle with side lengths of 3, 3, and 9?

Answers

Answer:

N0

Step-by-step explanation:

The sides of a triangle must be

a-b< c< a+b  where a and b are the two smaller sides and c is the larger side

3-3 <9< 3+3

0<9<6

This is not true so it cannot make a triangle

answer:

no

step-by-step explanation:

each side must be smaller than the sum of other sides

so

9+3>3-right

3+3<9-wrong

Mrs. Helton is making gift bags as prizes for her math classes.  She has 30 little bags of Hershey Kisses and 15 Blow Pops.  What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?​

Answers

Answer:

3

Step-by-step explanation:

I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think

Answer:

45 gift bags.

Step-by-step explanation:

take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion

Select All the correct answers

Select all the statements that are true for the following systems of equations.

System A
2x-3y=4
4x.y = 18

System B
3x - 4y 5
y = 5x + 3

System C
2x-3y - 4
12x-3y 54

1. All three systems have different solutions.

2. Systems A and B have different solutions

3. Systems A and C have the same solution

4. Systems B and C have the same solution

5. System C simplifies to
2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three

Answers

Answer:

a

Step-by-step explanation:

kjddhllkfewtuikkbccjg

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