Solve for x in the diagram below

Solve For X In The Diagram Below

Answers

Answer 1

Answer:

x = 12°

Step-by-step explanation:

First of all the angles lie on a right angle which means that they are complementary.

Complementary angles are angles that add up to 90°

To find x add up all the angles and equate it to 90° and solve for x

We have

x + 42 + 3x = 90

4x + 42 = 90

Subtract 42 from both sides

4x + 42 - 42 = 90 - 42

4x = 48

Divide both sides by 4

That's

[tex] \frac{4x}{4} = \frac{48}{4} [/tex]

We have the final answer as

x = 12°

Hope this helps you


Related Questions

Explain the difference between the associative addition and the commutative addition

Answers

Answer:

Associative states you can regroup numbers and you will get the same answer and the commutative property states that you can move numbers around and still have the same answer.

Example:

Commutative a+b=b+a

Associative a+ (b+c) = (a+b) +c= a+b+c

Answer:

what that person said lol.

Solve for t in terms of q, r, and s.
S = rqt
T=

Answers

qt=r(s+t)
multiply out
qt=rs+rt

The solution is: the value of x, and the angles m∠SQT and  m∠RQS are:

x = 23, m∠RQS = 72°, m∠SQT = 83°.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

Here, we have,

Since we are not told what to look for, we can as well look for the value of x, m∠SQT and  m∠RQS

Given

m∠RQS=(4x-20)°

m∠SQT=(3x+14)°

m∠RQT=155°

The addition postulate is true

m∠RQT= m∠RQS + m∠SQT

Substitute the given parameters into the formula

155 = 4x-20+3x+14

155 = 7x-6

7x = 155+6

7x = 161

x = 161/7

x = 23

Solve for m∠RQS

m∠RQS = 4x-20

m∠RQS = 4(23)-20

m∠RQS = 92-20

m∠RQS = 72°

Solve for m∠SQT

m∠SQT = 3x+14

m∠SQT = 3(23)+14

m∠SQT = 69+14

m∠SQT = 83°

Hence, The solution is: the value of x, and the angles m∠SQT and  m∠RQS are: x = 23, m∠RQS = 72°, m∠SQT = 83°.

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complete question:

S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°

The perimeter of a rectangular window is 104 ft. The length is three times the width. Write a equation and solve for the width.

Answers

Answer:

L2 + W2 = P

L = 3W

2(3W) + 2W = 104

6W + 2W = 104

8W = 104

W = 13

Step-by-step explanation:

perimeter is 2 times length plus two times width.

add these togethter to get 104 (the given number)

then create an equation to find length based on the given number

simplify and find w.

Answer: width = 13 ft

Step-by-step explanation:

Perimeter (P) = 2 × Length (L) + 2 × width (w)

Given: P = 104, L = 3w

  P =   2L  +  2w

104 = 2(3w) + 2w

104 = 6w + 2w

104 = 8w

13 = w

What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y? Enter your answers in the boxes.

Answers

Answer:

=7x+2y+4

Step-by-step explanation:

Answer:

7x+2y+4

Step-by-step explanation:

combine like terms:

8x-x=7x

-2y+4y=2y

3+1=4

so the simplified form of the equation is 7x+2y+4

To encourage public transportation, Ronny wants to give some friends envelopes with bus tickets and subway tickets in them. If he has 18 bus tickets and 12 subway tickets to split equally among the envelopes and wants no tickets left over, what is the greatest number of envelopes Ronny can make?

Answers

Answer:

6 enevlopes

Step-by-step explanation:

18 divided by 6 equals 3

12 divided by 6 equals 3

hope this helps you :)



Which statement best describes the zeros of the function h(x) = (x-4)2(x - 7x + 10)?

Answers

Answer:

where are the options

Step-by-step explanation:

Answer: The answer is THE FUNCTION HAS THREE DISTINCT REAL ZEROS

Step-by-step explanation:

I’m pretty sure I still need to check if I got it right

i need help please :(

Answers

Answer:

B

Step-by-step explanation:

Recall the product property of exponents, where:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

In our expression, x is 3, a is -8, and b is 4. Thus:

[tex]3^{-8}\cdot 3^{4}=3^{-8+4}[/tex]

Add in the exponent.

[tex]=3^{-4}[/tex]

So, our answer is B.

And we're done!

The correct answer is B

Solve equations
12 + b = 42
M - 12 = - 16
-224= 4 x
-3= b over 12
V over 4 = 12
2( n+ 3)=- 12
-3+ x over 5 =-8
-2= x+2 over 6
2(n+6)=-8
-3 x-20= -155

Answers

Answer:

I wasn't sure on the last two but I got the rest.

Please Help! Answer the question on this picture!

Answers

Answer:

it dilated by two

Step-by-step explanation:

Which number sentence states that x is at most 50?
A. x < 50
B. x < 50
C. x = 50
D.x > 50
E. x > 50

idk this one is kind of confusing me

Answers

Answer:

its  A & B, x<50

Step-by-step explanation:

atmost means till 50.

atleast means more than 50.

The number sentence that states that x is at most 50 is option B: x ≤ 50.

In mathematical notation, the symbol "≤" means "less than or equal to." So, x ≤ 50 translates to "x is less than or equal to 50."

This means that x can be any value that is less than 50 or exactly 50.

Option A (x < 50) would mean "x is less than 50," excluding the value 50 itself.

Option C (x = 50) would mean "x is equal to 50," but it doesn't include any values less than 50.

Option D (x > 50) would mean "x is greater than 50," excluding the value 50 itself.

Option E (x ≥ 50) would mean "x is greater than or equal to 50," which includes values greater than 50, but it doesn't allow any values less than 50.

So, the correct choice to state that x is at most 50 (including the value 50) is option B: x ≤ 50.

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The power generated by an electrical circuit (in watts) as a function of its current c cc (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8) What is the maximum power possible?

Answers

a current of c = 5A will produce the maximum power. Step-by-step ... P(c) = -12c² + 120c is a function of c. we know that for ... Pmax = -12(5)² + 120 x 5 = -300 + 600 = 300 watt.

The maximum power is 4A.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The given function

P(x) = - 15x (x-8)

P(x) = - 15x² + 120x

The standard form of a quadratic function is:

y = ax² + bx + c

For which x is the maximum of the parabola

x = - b/2a

So, a = -15 and b = 120.

Then, x = - 120/(2 · (-15))

         x  = - 120/ (-30)

         x = 4A

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What is the difference between the absolute value of 4 and the absolute value of –3?

Answers

Answer:

The absolute value of -3 is three the absolute value of 4 is 4.

Answer:

k bro the correct answer is 7

Step-by-step explanation:do 4 - 4 which equals 0 right then minus 3 more to get -3 therefore your answer is 7 Mark brainliest plz

Translate the phrase into an algebraic expression, then simplify.
The sum of -23 and 9,

Answers

Answer:

69

Step-by-step explanation:

the volume of a gas varies inversely as the pressure on it. if the volume is 240 cm^3 under a pressure of 30 kg/cm^2, what pressure must be applied to have a volume of 120cm^3​

Answers

Answer:

V varies 1/P.

V=K/P.

K=VP.

K=240×30.

=7200.

Therefore 7200=VP.

so.....

7200=120P.

P=7200/120.

P=60kg/cm^2.

Brandy borrowed $12,500 from her dad and made an agreement to pay him back over 4 years at an annual simple interest of 3%. What is the TOTAL amount she will pay her dad back over the 4 years?

Answers

Answer:

1400 if not compounded

Step-by-step explanation:

12500x.03

Answer:

14,000

Step-by-step explanation:

Step 1:

- 12,500x0.03=375

- 375x4=1500

1500 is the interest amount

but it's asking for the total so

Step 2:

- 12500+1500=14,000

- 14,000 is the TOTAL account balance.

what is 42,456 divided by 36 also what is 7,456 divided by 215 please do in step by step

Answers

Answer:

     1179  rem 12

36 /42456  

  36_      

    64    

   -36_    

    285    

   -252_    

       336  

       -324_  

   12*

this is for number 1

_ are where you put lines under the number to do the subtraction

what times what times what times what equals -5/24 i need two different ways please help

Answers

Answer:

;fjk;rofkfk;;fkslgl;fkfls'rfi;,dfei;se;feieirjeiljlaejre

sfe;jflejflseleijflskfeselselehf

Step-by-step explanation:

ueufaepfsfjseuefkeou;oiwrrsdkuijksgukuisdjyfekefaehkf

How do I solve -2x +6-(-5) +5x

Answers

Answer:

3x+11

Step-by-step explanation:

-2x +6-(-5) +5x

-2x+11+5x

3x+11

Which number in the group below is the largest? -12, -11, -9, -5, -15

Answers

Answer:

The largest is -5

Step-by-step explanation:

This is because when dealing with negatives, the closer to the zero, the larger the number.

Answer:

-5

Step-by-step explanation:

-5, because numbers that are closer to zero are larger than others that are farther away from 0.

These are the numbers in order from least to greatest: -15, -12, -11, -9, -5

Which value would make the statement true? StartFraction 2 Over question mark EndFraction greater-than StartFraction 4 Over 12 EndFraction 4 6 12 24

Answers

Answer:

4

Step-by-step explanation:

Given the expression 2/? > 4/12, to find the value of ? that will make the expression true, we will cross multiply first

On cross multiplying:

2×12 > 4 × ?

24 > 4 × ?

Divide both sides by 4

24/4 > 4×?/4

6 > ?

This means that ? < 6

The answer will be a value that is less than 6. According to the option, the only value less than 6 is 4. Hence the correct answer is 4.

Answer: 4

Step-by-step explanation:

Simplify the expression completely.
-3V24 - V.

Answers

Answer:

-V (3 V^23 + 1)

Step-by-step explanation:

Simplify the following:

-3 V^24 - V

Factor -V out of -3 V^24 - V:

Answer:  -V (3 V^23 + 1)

Show that cos3(B)+cos(B)sin2(B) = 1 sin(B)cos2(B)+sin3(B) tan(B)

Answers

Answer:-90

Step-by-step explanation:

How does a tree feel after a hard day at work?
(Math question. It one of those math riddles where you have to answer a bunch of problems to decode the answer)

Answers

Bushed
B - -36
U - 9
S - 10
H - 16
E - 6
D - -3

The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width? A yard with a length of 30 feet and a width of (30 minus x) feet. Which equation represents the scenario? 30 + (30 – x) = 540 540 – 30 = 30 – x 30(30 – x) = 540 540 – (30 – x) = 30 : Please Help

Answers

Answer:

I got this answer from the comments and it was correct so the correct answer is C.

Step-by-step explanation:

Ty cco713.

The equation that represents the scenario is 540 = 30(30 - x)

Area of a rectangle

A rectangle is a 2-D shape with 4 sides.The formula for calculating the area of the rectangle is expressed as:

A =lw

where:

l is the length

w is the width

Given the following parameters

l = 30ft
w = 30 - x

A = 540

Substitute

540 = 30(30 - x)

Hence the equation that represents the scenario is 540 = 30(30 - x)

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tickets to a school dance are sold for $10 each the student council spent a total of $400 on setup cost for the dance the school's profit p in dollars from the dance depends on the number of tickets sold which function describes the relationship between p and t

Answers

Answer:

I think it’s p(t)=10t-400

Answer:

t(p) = 10p-400

Step-by-step explanation:

What is the answer for -4-(7t-4)^2=-49

Answers

Answer:

t₁ = (3√5 + 4)/7

t₂ = -(3√5 - 4)/7

Step-by-step explanation:

- 4 - (7t - 4)² = - 49

- (7t - 4)² = - 49 + 4

- (7t - 4) = - 45 | (-)

(7t - 4)² = 45

(7t - 4)² = 3√5

7t - 4 = ± 3√5

7t - 4 = 3√5 => 7t = 3√5 + 4 => t₁ = (3√5 + 4)/7 7t - 4 = - 3√5 => 7t = - 3√5 + 4 => t₂ = -(3√5 - 4)/7

22
O Rational
0 Irrational
Is it rational or irrational

Answers

Answer:

22 is irrational I think

Answer:

22 is a Rational number

Step-by-step explanation:

All integers, whole numbers and natural numbers are rational numbera

n – 8 = 16 in a verbal sentence

Answers

Answer:

N minus eight equals sixteen.

Step-by-step explanation:

2 1/2 - 4 1/4 any one know what this answer is please help

Answers

Answer:

=5/2 - 17/4

=10/4 - 17/4

= -7/4

........................

If DE=23, EF=9, find the value of DF.

Answers

Answer:

df=23+9=32

EF=78-52=26

Step-by-step explanation:

DE=23, EF= 9

DF=DE+EF

df=23+9=32

2)DF=DE+EF

78=52+EF

EF=78-52=26

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