Answers
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
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
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.
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!
What is the answer for -4-(7t-4)^2=-49
Answers
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)/7To 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
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
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
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:
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
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
Please Help! Answer the question on this picture!
Answers
Answer:
it dilated by two
Step-by-step explanation:
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.
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.
Learn more about Inequality click;
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Show that cos3(B)+cos(B)sin2(B) = 1 sin(B)cos2(B)+sin3(B) tan(B)
Answers
Answer:-90
Step-by-step explanation:
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.
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
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°.
To learn more on angle click:
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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 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 rectangleA 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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n – 8 = 16 in a verbal sentence
Answers
Answer:
N minus eight equals sixteen.
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
B - -36
U - 9
S - 10
H - 16
E - 6
D - -3
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
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
Learn more about Function here:
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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 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
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
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
........................
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)
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: