Solve an equation to find the missing angle

Solve An Equation To Find The Missing Angle

Answers

Answer 1

11.

[tex]6x = 30 \\ x = \frac{30}{6} \\ x = 5[/tex]

Missing angle:

[tex]6x \\ = 6 \times 5 \\ = 30[/tex]

_________________________________________

12.

[tex](4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29[/tex]

Missing angle 1:

[tex](4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149[/tex]

Missing angle 2:

[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]

_________________________________________

13.

[tex]5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21[/tex]

Missing angle 1:

[tex]5x \\ = 5 \times 21 \\ = 105[/tex]

Missing angle 2:

[tex](3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75[/tex]

_________________________________________

14.

[tex]32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9[/tex]

Missing angle:

[tex](6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58[/tex]

_________________________________________

15.

[tex](2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29[/tex]

Missing angle 1:

[tex](2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59[/tex]

Missing angle 2:

[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]

_________________________________________

16.

[tex](3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17[/tex]

Missing angle 1:

[tex](3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52[/tex]

Missing angle 2:

[tex](4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38[/tex]


Related Questions

Simplify the expression below.
50 - 2(32 + 1)

Answers

Answer:

[tex] = { \tt{50 - 2(32 + 1)}}[/tex]

Solve the bracket:

[tex] = { \tt{50 - 2(33)}}[/tex]

Open the bracket:

[tex]{ \tt{ = 50 - 66}}[/tex]

Subtract the expression:

[tex]{ \bf{ = - 16}}[/tex]

Step-by-step explanation:

Multiply 2 by 32 and 1

50-64-2

-14-2

-16 Answer

Which function has a vertex at (2, 6)?
O f(x) = 2|x – 2| – 6
O f(x) = 2|x – 2| + 6
Of(x) = 2|x + 2| + 6
Of(x) = 2|x + 2| - 6

Answers

Answer:

B

Step-by-step explanation:

Trust me bro. It’s “B.”

If you answer this correctly you get a cookie

Answers

Answer:

A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Total waste = 22 000 in^3

If we use a proportion we have:

x : 100 = 2000 : 22 000

x = 200 000 / 22 000 = 9,09 % (option a is wrong

x : 100 = 7000 : 22 000

x = 700 000 / 22 000 = 31 % (ok)

a suit is on sale for 15% off. the sale price is $442. what is the regular price?

Answers

Answer:

520

Step-by-step explanation:

100% - 15% = 85%

85% of the original price is  442 dollars

100% = x

solve for x:

x * 0.85 = 442

x= 520 dollars

regular price is 520 dollars.

15 years from now Renu will be four times her present age. What is Renu's present age?​

Answers

Answer:

5 years

Step-by-step explanation:

(x+15)=4x

15=4x-x

15=3x

5=x

5 + 3bc =
9a + b =
cd + bc =

Answers

Answer:

You can't answer these questons

sorry

Hope This Helps!!!

18x-108
-----------
6x-54

simplify the expression




A.

B.

C.

D.

Answers

Answer:

3x-2

---------

x-1

Step-by-step explanation:

simplify 18x/6x = 3x/1x

simplify 108/54 = 2/1

Heather wants to start a business. She has two products to sell, and knows it takes her a
different amount of time to make each. It takes her 1.5 hours to make each frame (f),
and 2.25 hours to make each canvas (c). She is planning to work for 40 hours on these
projects this week. Write the equation that represents this relationship.

Answers

Answer: 1.5f + 2.25c = 40

Step-by-step explanation:

You'd need to multiply the variables of unknown value (how many she'd make in 40 hours) by the time it takes to make one. This would mean multiplying 1.5 by f and 2.25 by c. you'd add this as together they equal the 40 hours she'd be working for the week.

Find the value of t for a t-distribution with 12 degrees of freedom such that the area to the left of t equals 0.025. Round your answer to three decimal places, if necessary.

Answers

Answer:

-2.179

Step-by-step explanation:

Given :

Degree of freedom, df = 12

Area to the left = 0.025

The value of T can be obtained using either a t distribution table or a T value calculator :

t0.025, 12 (to the left) = t(1-0.025), 12 = t0.975,12 = - 2.1788

Therefor le, t value with 12 degree of freedom, with area to the left being 0.025 is - 2.179

# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
O 50%
O 25%
O 15%
O 20%​

Answers

profit from selling 5 oranges is 20%

Profit percentage of  selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.

What is profit?

" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."

Formula used

Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]

According to the question,

We know that,

Selling price = cost price + profit

Substitute the given condition in the selling price formula we get,

Selling price of 5 oranges

= Cost price of 5 oranges + Selling price of 1 oranges

⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges

S.P of 4 oranges = C.P of 5 oranges

⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]

Substitute the value in the formula to get profit percentage,

Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]

                              = 25%

Hence, profit percentage of  selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.

Learn more about profit here

https://brainly.com/question/15036999

#SPJ3

WILL MARK BRAINLIEST

Please help solve problems with common tangents.

Thank you.

Answers

Answer:

sorry I don't know but can u PLEASE MARK ME AS BRAINLIEST.

Step-by-step explanation:

.......

Answer:  12

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

Explanation:

Let's start with what the hint gives us. So the first sub-goal is to prove triangle ABE is similar to triangle DCE.

Since points A and D are points of tangency, this means the radii of each of those circles is perpendicular to the common internal tangent. So angles EAB and EDC are 90 degrees each.

Due to the vertical angle theorem, we also know that angles AEB and DEC are the same (we don't know the measure but we know they're equal angles).

So we have two pairs of congruent corresponding angles between the triangles, which is sufficient to let us use the AA (angle angle) similarity theorem. Therefore, the triangles have been proven to be similar. Triangle DCE is a reduced scaled down copy of triangle ABE. Or in reverse, triangle ABE is an enlarged copy of triangle DCE.

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

Since the triangles are similar, we can form the proportion below and solve for x

AB/AE = DC/DE

x/18 = 4/6

x*6 = 18*4 .... cross multiplication

6x = 72

x = 72/6

x = 12

Therefore, segment AB is 12 units long, and this is the radius of circle B.

given the polynomial : (3x+4)^5. find the coefficient of x³ !​

Answers

Answer:

[tex] \displaystyle 4320 {x }^{3} [/tex]

Step-by-step explanation:

to solve binomials like this there's a way called binomial theorem given by

[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]

but for this question we need the following part

[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]

from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient k should be (5-3) = 2 so we have determined the variables now just substitute

[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]

simplify which yields:

[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]

and we are done!

The product of three different positive integers is equal to 7^3. What is the sum of the three integers?

Answers

Answer:

sum of three positive integer=57

Step-by-step explanation:

let x,y,z be three positive no.

given :-

xyz=7³

xyz=343

xyz=1×7×49

x+y+z=(1+7+49)

sum=57

Answer:

343

Step-by-step explanation:

7^3

change 7^3 to a natural number or enter 7^3 on a calculator

7×7×7

=343

factors of 343=1,7,49,343

1×7×49=343

1+7+49=57

Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10

Answers

Answer:

the answer is B

Step-by-step explanation:

-5(y-2)-7y

-5y-10-7y

+7y +7y

answer: 2y-10

Answer:

A. (-12y+10)

Step-by-step explanation:

-5(y-2) - 7y can be simplified to:

-5y + 10 - 7y when you factor the parenthesis.

If you add the y's together, the answer should be:

-12y + 10.

.

4. The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is a. 2 b. 2.2 C. 2.4 d. 2.8​

Answers

Answer:

its 2•8

u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28

so 28/10= 2•8

Answer:

mean=sum of all the data number of the data

= 2+3+4+5+0+1+3+3+4+3/10

= 28/10

= 2.8

I hope this helps

Find an equation for the line below.

Answers

Answer:

y= -1/4x+ 3.75

Step-by-step explanation:

Does anyone know what graph is correct?

Answers

First graph is the correct one.

when x= 1

y=f(x) = -√1 = -1

when x= 2

y= -√2

The third wait no the first actuality it’s the second one

Find the sum
(-4) + 2/3 ​

Answers

Answer:

[tex]-3\frac{1}{3}[/tex]

Step-by-step explanation:

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

Given:

[tex](-4)+\frac{2}{3}[/tex]

--------------->>>>

Make the denominators the same.

[tex](-4*\frac{3}{3} )+\frac{2}{3}=[/tex]

--------------->>>>

Multiply inside the parenthesis.

[tex]-\frac{12}{3} +\frac{2}{3}=[/tex]

--------------->>>>

Join the denominators.

[tex]\frac{-12+2}{ 3}=[/tex]

--------------->>>>

Add the numerators.

[tex]-\frac{10}{3}[/tex]

--------------->>>>

Convert to mixed fraction.

[tex]-3\frac{1}{3}[/tex]

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

Hope this is helpful.

Answer:

-10/3.

Step-by-step explanation:

(-4). 2

----- + ------

1 3

we have to make the denominator same:

so.,

-4. ×. 3. -12

---- ---- = ------

1. ×. 3. 3

-12 2. -12+2

---. + ---- =. -----------

3. 3. 3

-10

=. ----

3

which of the points lies on the curve y=x^3

Answers

Answer:

D

Step-by-step explanation:

Hello,

A: no since (1/3)^3=1/27 not 1/9

B: no since (-1)^3=-1 not 1

C: no since (-2)^3=-8 not -6

D: yes since (-1/2)^3=-1/8

Answser D

Question 1 of 10 If f(x) = 5x and g(x) = x+1, find (f.g)(x).

Answers

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= 5x³( x + 1) ← distribute parenthesis

= 5[tex]x^{4}[/tex] + 5x³ → D

pleasee help me,A train travels from station P to station Q at a speed of 90km/h in 3hours 40minutes.The train stops at station Q for 25minutes before returns to station P.The time taken from station P to station Q.Calculate the average speed,in km/h,of the whole journey of the train

Answers

i think it may be that the train is going too fast zoom km 1600 km at the end

I need help with all of em please

Answers

Answer:5/4

Step-by-step explanation: i think this is the answer

Answer:

The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9

Step-by-step explanation:

if tanA=12/16,find sin 2A​

Answers

Solution:

First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)

Second, we need to determine the length of the unknown side.

In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is

[tex]c = \sqrt{16^{2} + 12^{2}}[/tex]

[tex]c = 20[/tex]

After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.

We know that,

sin 2A = 2 sin A cos A

Then, we need to determine the values of sin A and cos A.

Based on the figure (attached photo), the values of sin A and cos A are

sin A = opposite side / hypotenuse

sin A = 12/20

sin A = 3/5

cos A = adjacent side / hypotenuse

cos A = 16/20

cos A = 4/5

Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.

Therefore, the the value of sin 2A is

sin 2A = 2 sin A cos A

sin 2A = 2(3/5)(4/5)

sin 2A = 24/25

Ayudaaa!! Cortamos una cuerda de 60cm en 5 trozos. Hay 3 trozos cortos que miden lo mismo y los otros 2 trozos miden 5cm mas que los cortos. ¿Cuánto miden los trozos?

Answers

Answer:

The short pieces are 10  cm each and the long pieces are 15 cm each.

Step-by-step explanation:

We cut a 60cm rope into 5 pieces. There are 3 short pieces that measure the same and the other 2 pieces are 5cm longer than the short ones. How long are the pieces?

let the length of the short pieces is p.

Length of longer pieces = p + 5

So,

60 = 3 p + 2 (p+ 5)

60 = 3 p + 2p + 10

5 p =  50

p = 10 cm

So, the short pieces are 10  cm each and the long pieces are 15 cm each.

Its about similar figures and scale drawing
No links

Answers

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

In which figure is DE BC

Answers

Answer:

Given: DB = 7.2 cm, AE = 1.8 cm and EC = 5.4 cm and DE || BC.

DB

AD

=

AC

AE

[by basic proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same.

7.2

AD

=

5.4

1.8

AD=

5.4

7.2×1.8

AD=

10

24

⟹AD=2.4cm

PLEASE HELP I WILL GIVE BRAINLY


If y varies directly with x and
y = 56 when x = 8, find y if x = 4.
First, find the direct variation equation.
y = [ ? ]x

Answers

Answer:

y = 7x and y = 28

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 56 when x = 8 , then

56 = 8k ( divide both sides by 8 )

7 = k

y = 7x ← equation of variation

When x = 4

y = 7 × 4 = 28

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

(1/3) r2 =(1/3) r +14

1/6 divided by 83 r + 14

97r

i think...

I hope this helps you!

XoXo Mashayla

Step-by-step explanation:

Solve, (-10)-(-2)^3-(-2)x(-11)

Answers

Answer:

−10−1(−2)^3−1(−2)(−11)

● −10−1(−8)−1(−2)(−11)

●−10+8−1(−2)(−11)

●−10+8−22

●−10+8−22

☆Answer:-24

○●○●○●○●○●○

Hope it helps

Have a great day!!

If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per gallon of gas?

Answers

Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

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