Answers
Digram:-
[tex] \\ [/tex]
[tex]\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}\put(2,2){$\underline{\boxed{\large\sf a + b = 180^{\circ}}$}}\put(4.5,1.3){$\sf a^{\circ}$}\put(5.7,1.3){$\sf b^{\circ}$}\end{picture}[/tex]
[tex] \\ [/tex]
STEP :-
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
{Linear pair}
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}= 18 {0}^{ \circ} - {117}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4q - 1) {}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q - 1{}^{ \circ}=63^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =63^{ \circ} + 1{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt4q =64{}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{64}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times 4}{4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16 \times \cancel4}{\cancel4}^{ \circ}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt \: q = \dfrac{16}{1}[/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \bf q = 16 \degree[/tex]
[tex] \\ \\ [/tex]
Verification:
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(4 \times 16- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt(64- 1) {}^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt63^{ \circ} + {117}^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
[tex] \dashrightarrow \tt180^{ \circ} = 18 {0}^{ \circ} [/tex]
[tex] \\ [/tex]
LHS = RHS
HENCE VERIFIED!
Answer:
Value of [tex]\sf\purple{q\: = \:16.}[/tex]
Step-by-step explanation:
[tex]\rightarrow[/tex]As we know that,
Sum all angles that lie on a straight line = [tex]\sf\blue{180°}[/tex]
So,
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)°+ 117°\: = \:180°}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:180-117}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{(4q-1)\: = \:63}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{4q\: = \:63+1}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:\frac{64}{4}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{q\: = \:16}[/tex]
Thus, [tex]\sf\purple{q\: = \:16.}[/tex]
_________________________________
Hope it helps you:)
Related Questions
The volumes of two similar solids are 1408 m3 and 594 m3. The surface are of the smaller solid is 549 m2. What is the surface area of the larger solid?
Answers
The surface area of the larger solid is approximately 971.13 m².
What is scale factor?
A scale factor is the ratio of the corresponding sides of two similar objects.
Let's find the scale factor as follows:
z = scale factor
x = the volume of the larger solid
y = the volume of the smaller solid
Therefore,
z³ = x / y
z³ = 1408 / 594
z = ∛1408 / 594
z = 11.2081573 / 8.40611799
z = 1.33
Therefore,
let's find the surface area of the larger solid.
The scale factor squared is equal to the surface area of the larger solid divided by the surface area of the smaller solid. Therefore,
z² = larger solid / 549
surface area of the larger solid = 1.33² × 549
surface area of the larger solid = 1.7689 × 549
surface area of the larger solid = 971.1261
surface area of the larger solid = 971.13 m²
learn more on similar solids here: https://brainly.com/question/2254019
Find the area enclosed by the figure
Fastttttt plsssss
Answers
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Answers
Hey there!
This is a one-step equation, meaning that we can solve it in one step.
This is the step:
Subtract 14 from both sidesGoal:
To find out the value of xSubtract 14:
x+14-14=63-14
the 14's on the left cancel:
x=49
Hence, the answer is
[tex]\boxed{\boxed{\bold{x=49}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
[tex]\rule{200}{2}[/tex]
College algebra chapter 3
Answers
Equation given: [tex]S = 16t^2[/tex]
S: distance fallen --> 1279 ftt: time taken for the distance fallenSolve:
[tex]S = 16t^2\\1279=16t^2\\t^2 = 79.93\\t=8.9[/tex]
Thus it took 8 seconds for the thing to fall from the top
Hope that helps!
Lily is $90\text{ cm}$ tall. If Anika is $\frac{4}{3}$ of the height of Lily, and Sadaf is $\frac{5}{4}$ of the height of Anika, how tall is Sadaf?
Answers
Answer:
your mom
u.w.u
lol
haha
study well
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Answers
Answer:
27/200
Step-by-step explanation:
Knowing that:
A bag of tokens contains 9 red, 6 green, and 5 blue tokens. What is the probability that a randomly selected token is red and green?
Solve:
and = multiply
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total = 20 token
Thus,
There are 9 red and 6 green..
Hence,
9 out of 20 is red
6 out of 20 is green
Equation
9/20 × 6/20
Multiply Across:
9 × 6 = 54
20 × 20 = 400
54/400
Simplify
27/200
Therefore, the probability that a randomly selected token is red and green is 27/200.
~Lenvy~
The probability that a randomly selected token is red and green is 27/200 in fraction form and 0.135 in decimal form.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Given that a bag of tokens contains 9 red, 6 green, and 5 blue tokens.
Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20
Total token = 20
P(E₁) is 9 out of 20 are red.
P(E₂) is 6 out of 20 are green.
⇒ P(E₁) = 9/20
⇒ P(E₂) = 6/20
Required probability P(E) = P(E₁)×P(E₂)
Required probability P(E) = 9/20 × 6/20
Required probability P(E) = 54/400
Required probability P(E) = 27/200 = 0.135
Therefore, the probability that a randomly selected token is red and green is 27/200.
Learn more about probability here:
brainly.com/question/11234923
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Malika's school is selling 100 raffle-tickets to raise money for a new gymnasium. The
grand-prize is a ten-speed mountain bike. Which word or phrase describes the
probability that she will win the raffle if she buys all the tickets?
A. An equal chance or 50-50
B. Certain
C. Unlikely
D. Likely
Answers
Answer:
Certain
Step-by-step explanation:
If she buys all of them, no one else has a chance because there is no other tickets
The radius of the half dollar in centimeters is shown.
Which of the following is closest to the area of the face of the
half dollar?
A. 12 cm2
B. 15 cm2
C. 28 cm2
D. 735 cm2
Answers
Step-by-step explanation:
12 is your answer
22/7 × 1.95× 1.95
you will get 11.9
round off to get
12
bai
3(2x + 1) = 7x-2
What is x
Answers
Answer:
x=-5
Step-by-step explanation:
3(2x+1)=7x-2
6x+3=7x-2
6x-7x=-2-3
x=-5
3(2x + 1) = 7x-2
3*2x+3*1=7x-2
6x+3=7x-2
6x-7x=-3-2
-1x=-5
x=5
how do I do it? I didn't understand the math.
Answers
Answer:
please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..
Martin is an artist who molds plaster into unique shapes.
How much plaster can Martin fit into the mold shown?
Answers
Step-by-step explanation:
the volume of this object is the sum of the volume of the 2 blocks.
the large block is a cube of 4×4×4 = 64 ft³
the small block is 1×1×2 = 2 ft³
so, in total, he can fit 64+2 = 66 ft³ of plaster into the mold.
what is 1.5 +1.5 in a fraction
Answers
Therefore, 1.5 as a fraction is written 3/2.
Answer:
3/1
Step-by-step explanation:
1.5+1.5
calcular los dos primeros términos
3
escribe el número entero como una fracción
3/1
7
X
which graph represents the function 2x) - 3-2,
10
4
2 4 6 8 10
-1086
10
10
Save a
Mark this and return
Answers
Answer:
y = -6
Step-by-step explanation:
Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns thought out the week . One week . Samantha noticed she earned about $12 tips each hour . Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22
Write a rational equation that models this situation
Answers
In your own words describe how to find the perimeter of a shape with fractional sides used the rectangle below to example
Answers
Answer:
U add both side of the shape to get the fractional
Step-by-step explanation:
I just did this not to long ago
which of the following is an equivalent expression to the expression a 1/3/ a /14
Answers
A. a^1/12
When dividing two exponents with the same base, subtract the denominator exponent from the numerator's exponent.
the difference is the value of the new exponent with the same base.
A right rectanular prism has a length of 2 a width of 4 and a height of 5. How many unit cubes can fit in the prism
Answers
Answer:
40
Step-by-step explanation:
4 x 2 = 8 x 5
l x w x h
or
Bxh
The product of seven and the number m
translate into an algebraic expression please
Answers
Answer:
7m
Step-by-step explanation:
product means multiplication
7×m = 7m
Select Statistical or Not statistical to classify each question.
How many sisters do you have?
How many inches are in 2 feet?
How many pets do you have?
Answers
Answer:
1: statistical
2: not statistical
3: statistical
Step-by-step explanation:
The first and third statements can be answered by many people.
How many sisters do you have?
- Not statistical
How many inches are in 2 feet?
- Not statistical
How many pets do you have?
- Not statistical
What are statistical data?Statistical data are numerical or categorical information that has been collected through a systematic process and analyzed using statistical methods.
These data can be used to describe, summarize, compare, and draw conclusions about a population or a sample.
We have,
How many sisters do you have?
- Not statistical
How many inches are in 2 feet?
- Not statistical
How many pets do you have?
- Not statistical
None of these questions involve collecting, analyzing, or interpreting data, which are key characteristics of statistical questions.
They are simply asking for a count or a conversion of units, and do not involve any variability or uncertainty.
Thus,
All the given questions are not statistical.
Learn more about statistical data here:
https://brainly.com/question/11969248
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Convert 12 yards 3 feet and 8 inches into inches
Answers
Answer:
476 inches. i dont know how to do an explanation i just looked it up lol
Answer:
476 inches
Step-by-step explanation:
First convert 12 yards to 36 feet. We know this is the conversion because there are 3 feet in every foot, and 12 times 3 is 36.
We add 36 feet to 3 feet and we get 39 feet. There are 12 inches in a foot, so we do 12 times 39 feet and we get 468 inches.
The we add 468 inches to 8 inches and finally get 476 inches.
What is the probbability of flipping a coin 15 times and getting heads 6 times?
Answers
Answer:
if I'm wrong let me know 25
MARK AS BRAINLIEST PLS HELP
Below is the table of values of a function. Write the output when the input is n.
input
1
2
8
n
output
5
6
12
?
Answers
?=24
wydaje mi się że to poprawna odpowiedź ale nie jestem pewny
The outputs are addition of 4 to their inputs therefore,if the input is n then the output will also be an addition of 4 hence n+4
Find the slope of the line that passes through \left(10,8\right)(10,8) and \left(1,9\right)(1,9).
Slope ==
Answers
Answer:
m = -1/9
Step-by-step explanation:
Gabrielle used 7 1/5 inches each of 6 different colors of embroidery floss to make one friendship bracelet. Each package of floss contains 12 feet. How many friendship bracelets can Gabrielle make if she has one package of each color?
Answers
The number of friendship bracelets Gabrielle can make is 20 bracelet
Conversion of feet to inches1 feet = 12 inches
12 feet = 144 inches
Number of colors of floss = 6
Quantity of each floss = 12 feet = 144 inches
Total quantity of floss = 6 × 144
= 864 inches
Quantity of each floss used for bracelet = 7 1/5 inches
Total floss used for each bracelet = 6 × 7 1/5
= 6 × 7.2
= 43.2 inches
Number of bracelet Gabrielle can make = Total quantity of floss ÷ Total floss used for each bracelet
= 864 ÷ 43.2
= 20 bracelet
Learn more about conversion of feet to inches:
https://brainly.com/question/384660
Help picture below problem 16
Answers
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+9^2 = 16^2\\?^2 + 81 = 256\\?^2 = 175\\? = 13.2[/tex]
Thus the missing side length is 13.2 cm
Hope that helps!
Shirley has 5 novels and 5 comic books in her bag.
Three of her books are in Japanese, 2 of which are
comic books. The rest of her books are in English.
If a book is chosen at random from her bag, find
the probability of choosing
(((i) a book in Japanese))))-question
Answers
Answer:
3/10
Step-by-step explanation=
Total amount of books in her bag = 10
Total amount of Japanese books in bag = 3
So you have a 3 out of 10 chance of choosing a Japanese book
Also, this problem was trying to confuse you with all the extra wording
Here is the important information in bold
Shirley has 5 novels and 5 comic books in her bag.
Three of her books are in Japanese, 2 of which are
comic books. The rest of her books are in English.
If a book is chosen at random from her bag, find
the probability of choosing
(((i) a book in Japanese))))-question
Help picture below problem 10
Answers
Solution :-
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
And,
∠2 + ∠6 = 180° ( Co - interior angles sum up to 180° )
135° + ∠6 = 180°
∠6 = 180° - 135°
∠6 = 45°
Hope that helps :)
Celene invierte $5,000 en un banco al 5.15% de interés anual capitalizable cada trimestre. Utiliza el interés compuesto para determinar cuál es el rendimiento porcentual anual
Answers
El monto total acumulado, capital más interés, con interés compuesto sobre un capital de $5,000.00 a una tasa de 5.15% anual compuesto 4 veces por año durante 1 año es $5,262.52.
Interés compuestoDatos dados
Principal = $ 5000Tasa = 5,15%Tiempo = 1 añoA = P + I donde
P (principal) = $5,000.00
I (interés) = $262.52
Pasos de cálculo:
Primero, convierta R como un porcentaje a r como un decimal
r = R/100
r = 5,15/100
r = 0.0515 tasa por año,
Luego resuelve la ecuación para A
A = P(1 + r/n)^nt
A = 5000,00(1 + 0,0515/4)^(4)(1)
A = 5,000.00(1 + 0.012875)^(4)
A = $5,262.52
Obtenga más información sobre el interés compuesto aquí:
https://brainly.com/question/24924853
Find the degree of the polynomial.
– 3x^6 +2x^3 +x^7 +5
Help pls
Answers
Answer:
The degree of the polynomial [tex]-3x^{6}+2x^{3} +x^{7} +5[/tex] is 7
Step-by-step explanation:
The degree of a polynomial is the largest power a variable is taken to in an expression. Since the largest exponent in this polynomial is 7, that is the degree of the polynomial.
Answer:
7
Step-by-step explanation:
The degree of a polynomial is the highest exponent in a polynomial.
Standard Form
To find the degree, it is easiest to first write the polynomial in standard form. Standard form is when the terms' exponents are written from greatest to least.
This means that the standard form is [tex]x^7-3x^6+2x^3+5[/tex]Degree
From the standard form, it is obvious that the degree is 7. Any time the polynomial is written in standard form, the first term's exponent will be the degree of the whole polynomial.
Solve. 9 m 3 − 27 m 2 − 252 m = 0
Answers
Answer:
m = 0
m = 7
m = -4
Step-by-step explanation:
[tex]\sf 9m^3-27m^2-252m=0[/tex]
Divide by 9:
[tex]\sf \implies m^3-3m^2-28m=0[/tex]
Factor out common term m:
[tex]\sf \implies m(m^2-3m-28)=0[/tex]
Factor expression in parentheses:
[tex]\sf \implies m(m-7)(m+4)=0[/tex]
Therefore,
[tex]\sf \implies m=0[/tex]
[tex]\sf \implies m-7=0 \implies m=7[/tex]
[tex]\sf \implies m+4=0 \implies m=-4[/tex]