Answers
Answer:
x = 13
Step-by-step explanation:
The sum of these two equations has to equal 180 since they are adjacent to each other. Combine the two equations with an addition sign inbetween and set it equal to 180.
5x+6+8x+5 = 180
13x+11 = 180
13x = 169
x = 169 / 13
x = 13
To check your answer plug in 13 for x in each equation, you should get 71 degrees for 5x+6 and 109 degrees for 8x+5. Adding 71 and 109 gives you 180, so the answer is correct.
∠(5x + 6)° and ∠(8x + 5)° are a linear pair, which means their sum will add upto 180° .
Which means :-[tex] = 5x + 6 + 8x + 5 = 180[/tex]
[tex] = 13x + 6 + 5 = 180[/tex]
[tex] = 13x + 11 = 180[/tex]
[tex] = 13x = 180 - 11[/tex]
[tex] = 13x = 169[/tex]
[tex] = x = \frac{169}{13} [/tex]
[tex]\implies\color{olive} {\: x =\color{hotpink} 13}[/tex]
Then :-∠(5x + 6)° :-
[tex] = 5 \times 13 + 6[/tex]
[tex] = 65 + 6[/tex]
[tex]\color{olive}∠(5x + 6)°\color{hotpink} = 71° [/tex]
∠(8x + 5)° :-
[tex] = 8 \times 13 + 5[/tex]
[tex] = 104 + 5[/tex]
[tex]\color{olive}∠(8x + 5)°\color{hotpink} = 109° [/tex]
As the measure of both angles are adding up to form 180° (71+109=180), we can conclude that we have found out the correct value of x .
Therefore , the value of :-
[tex]\boxed{\color{hotpink}x = \bold13}[/tex]
Related Questions
two sides of a triangle have lengths 11 and 16 what must be true about the length of the third side
Answers
Answer: The third side of the triangle must be greater than the sum of sides 11 and 16.
Step-by-step explanation: "Triangle Inequality Theorem." This theorem states that any side of a triangle must be shorter than the other two sides added together.
Please mark this as the brainliest.
Clare mixes 2 ½ cups of water with ⅓ cup of orange juice concentrate.
Han mixes 1 ⅔ cups of water with ¼ cup of orange juice concentrate.
Whose orange juice mixture tastes stronger? Explain or show your reasoning.
Answers
Answer:
Han had a stronger orange flavor
Step-by-step explanation:
Because he put less water in the mixture.
Answer:
I believe Han's orange juice has a stronger taste of the orange itself. Even though 1/4 is less than 1/3, the amount of water that has been mixed in with the amount of orange juice is less than the 2 1/2. Therefore Clare's is much more diluted with a weaker taste.
Step-by-step explanation:
Hope this helped! <3
Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?
A.) $15.50
B.) $22.50
C.) $31.00
D.) $41.50
PLEASE HELP ME ASAP
Answers
Answer:
$31
Step-by-step explanation:
46.5/3=15.5
15.5×2=31
Answer:
C: 31
Step-by-step explanation:
46.5/3= 15.5
46.5-15.5=31
Hope this helps :)
When a polynomial 2x^3+3x^2+ax+b is divided by (x-2) leaves remainder 2, and (x+2) leaves remainder -2.Find a and b.
Answers
p(x) = 2x³ + 3x² + ax + b when divided by x - 2 and x + 2 leaves the remainders 2 , - 2.
Find:Value of a and b
Solution:✯ g(x) = x - 2
⟹ 0 = x - 2 [ g(x) = 0 ]
⟹ x = 2
★ p(2) = 2(2)³ + 3(2)² + a(2) + b
⟹ - 2 = 2 * 8 + 3 * 4 + 2a + b
⟹ - 2 - 16 - 12 - 2a = b
⟹ - 30 - 2a = b -- equation (1)
Similarly,
✯ g(x) = x + 2
⟹ 0 = x + 2
⟹ x = - 2
★ p( - 2) = 2( - 2)³ + 3( - 2)² + a ( - 2) + b
Substitute the value of b from equation (1).
⟹ 2 = 2 * ( - 8) + 3 * 4 - 2a - 30 - 2a
⟹ 2a + 2a = - 16 + 12 - 2 - 30
⟹ 4a = - 24
⟹ a = - 24/4
⟹ a = - 6
Substitute the value of a in equation (1).
⟹ - 30 - 2( - 6) = b
⟹ - 30 + 12 = b
⟹ - 18 = b
Therefore,
a = - 6
b = - 18.
I hope it will help you.
Regards.
The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?
Answers
Answer:
The actual ages of all runners are needed to decide.
Use the figure for Exercises 13-15. Find the measure of the given angle.
112°
430
33°
1710
b
15. C
13. a
14. b
Answers
Answer:
a + 112 + 33 = 180 ( sum of interior angles of tria
or a + 145 = 180 - ngle is 180 degrees)
or a = 180 - 145
or a = 35 .
similarily,
c + 43 + 71 = 180
or c + 114 = 180
or c = 180 - 114
or c = 66 .
and ,
a + 71 + b = 180 ( sum of angles in straight line is or, 35 +71 + b = 180 180 degrees)
or , b + 106 = 180
or, b = 180 - 106
or, b = 74 .
Thank me later.
It's the inequalitlos Matching Gemel
Answers
9514 1404 393
Answer:
B, D, F, H, A, G, E, J
Step-by-step explanation:
It might be helpful to summarize the relationships:
x ≤ . . . . solid dot, left arrow
x ≥ . . . . solid dot, right arrow
x < . . . . open circle, left arrow
x > . . . . open circle, right arrow
_____
Using the above, we find ...
B - 1
D - 2
F - 3
H - 4
A - 5
G - 6
E - 7
J - 8
Jaxson was filling his pool. When he started, it already contained 486 gallons. He filled it for 95 minutes with water coming out of a hose at a rate of 8.4 gallons per minute. How many gallons of water are in the pool at the end of 95 minutes.Immersive Reader
Answers
Answer:
1284 gallons
Step-by-step explanation:
The swimming pool already contained 486 gallons.
Then, Jaxson filled the pool for 95 minutes, so, the total amount of water in the pool at the end of 95 minutes = 486 + filled amount in 95 minutes.
The rate of filling water is 8.4 gallons per minute. i.e
In 1 minute, the amount of water filled = 8.4 gallons.
So, by using the elementary method, in 95 minutes, the amount of water filled = 8.4 x 95 = 798 gallons.
So, the total amount of water in the pool at the end of 95 minutes
=486 + 798 = 1284 gallons.
What is the slope of this graph?
A. 4
B. −14
C. −4
D. 14
Answers
Answer:
14 is the correct answer
Step-by-step explanation:
Answer:
A.4
Step-by-step explanation:
start at the y-intercept and work down
Find the reciprocal of 1/2 .
Answers
Answer:
.5
Step-by-step explanation:
1/2 = .5
Guys please hurry up I need this answer
Answers
The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 + 30s
Answers
;Answer:
The answer is below
Step-by-step explanation:
The PTA is trying to raise money for an end of the year carnival for a local
school. They are selling t-shirts, s, for fundraisers. Their revenue equation is
represented by the equation below. As a reminder, the revenue equation
describes how much money is brought in during the fundraiser: r(s) = - .1552 +30s
Their expenses equation is represented by: e(s) = 3s + 200.
A. Find the value of r(s) = e(s)
I
B. Explain what this means in the context of the problem.
Solution:
The revenue is the amount of money gotten by selling goods and products while expenses is the amount of money spent to produce the goods or products.
The revenue is given as:
r(s) = - 0.1552 +30s
While the expenses is given as:
e(s) = 3s + 200.
Since r(s) = e(s), therefore:
3s + 200 = -0.1552 + 30s
30s - 3s = 200 + 0.1552
27s = 200.1552
s = 7.4
s ≈ 7
At break even the expenses and revenue are equal to each other.
This means that if 7 t shirts are produced then the PTA would be at break even.
Is .083 greater than .81
Answers
Answer:
no .083 is less than .81
good luck buddy
Answer:
no its is not
Step-by-step explanation:
HELPPPPP!!! FIND VALUE OF A PLEASE!!
WILL MARK BRAINLIEST!!
A line with a slope of -2 passes through point (2,5) and (-3,A)
What is A????
-10
10
-15
15
THANK UUU!!
Answers
Answer:
A=15
Step-by-step explanation:
slope=(A-5)/(-3-2)=-2
A-5=-2×-5=10
A=10+5=15
HELP NEED ANSWER ASAP!!!!!!!!!
Answers
Answer:
1 /
Step-by-step explanation:
2 x
3 /
4 x
5 /
Basta Yan answer mrron akong anwer key
what is 67473 divided by 32
Answers
Answer:
2108.53 I think it's that lol
Solve the problem involving systems of lineas equations
1. Your mother bought 20 kilos of mangoes and apple combined. Mango P60.00 per kilo and apple is P40.00 per kilo. If she paid P 1000.00 for 20 kilos how many kilos of each kind mother bought?
(a) If x is number of kilos of mango and number of kilos of apple, then the equation is:______
(b) Equation for the cost of fruits_______
(c) The system equations are ______ and _________
(d) Solve by any method.
(e) Check if your result will satisfy the problem.
Answers
Answer:
x = 10
y = 10
Step-by-step explanation:
60x + 40y = 1000
x + y = 20
a. If x is number of kilos of mango and number of kilos of apple, then the equation is: x + y = 20
b. Equation for the cost of fruits
60x + 40y = 1000
c. The system equations are x + y = 20 and 60x + 40y = 1000
d. Solve by any method.
60x + 40y = 1000 (2)
x + y = 20 (1)
x = 20 - y
Substitute into (2)
60x + 40y = 1000 (2)
60(20 - y) + 40y = 1000
1200 - 60y + 40y = 1000
- 20y = 1000 - 1200
-20y = - 200
y = -200/-20
= 10
y = 10
Substitute y = 10 into (1)
x + y = 20
x + 10 = 20
x = 20 - 10
x = 10
(e) Check if your result will satisfy the problem.
60x + 40y = 1000
60(10) + 40(10) = 1000
600 + 400 = 1000
1000 = 1000
Creating a system of linear equations and solving using elimination method, the number of mangoes and apples purchased is 10.
Let :
Number of apples = a Number of mangoes = bThe system of equations which could be formed :
a + b = 20 - - - - - - (1)40a + 60b = 1000 - - - - - - (2)From (1)
a = 20 - b - - - - - (3)Substitute a = 20 - b into (2)
40(20 - b) + 60b = 1000
800 - 40b + 60b = 1000
Collect like terms
-40b + 60b = 1000 - 800
-20b = - 200
b = 200/20
b = 10
Substitute b = 10 in (3) :
a = 20 - b
a = 20 - 10
a = 10
Therefore, the Number of apples and mangoes purchased is 10
Learn more :https://brainly.com/question/15165519
What is the equation of the line in slope-intercept form?
Enter your answer in the boxes y= blank x + blank
Answers
Answer:
-3 + 4
Step-by-step explanation:
Answer:
y= 3/5x + 3. You go up 3 to where the other point is, then go over 5 to reach it. The y-intercept is 3 because that 3 is on the Y axis
Step-by-step explanation:
100!!!!! points
Hey everyone just remember 1:00 pm central SHARP 100 point giveaway first come first serve
comment if you have any questions
Answers
Answer:
IGTH BET
Step-by-step explanation:
Answer: NO I’m late...
Step-by-step explanation: *cries
A 10 foot ladder leans against a building that is 8 feet off of the ground. At what height would a 25 foot ladder touch the building if both ladders form the same angle with the ground?
Answers
Answer:
19.99feetStep-by-step explanation:
The set up will form a right angles triangle:
First we need to get the angle of elevation of the first ladder using SOH, CAH, TOA
The length of the ladder will be the hypotenuse = 10foot
The opposite will be the height of the building = 8ft
Using Sin(theta) = opposite/hyp
sin Theta = 8/10
theta = sin^{-1}0.8
theta = 53.13°
If the length of the ladder is now 25 foot, the height of the building will be calculated as shown;
sin Theta = h/25
sin53.13 = h/25
h = 25sin53.13
h = 19.99feet
Hence the height of the building will be 19.99feet
Find the slope and Y-intercept of parallel lines using only (-4,6)
Answers
Thank you . Explain also, please!
Answers
Answer: 1/2
Step-by-step explanation:
1. Find the least common denominator (14) and multiply the numerator as much as the denominator
4/14 + 3/14
2. Add the 2 fractions together
4/14 + 3/14 = 7/14
3. Simplify
7/14 divided by 7 = 1/2
The answer is 1/2
Point E(-5.3) and point D(-4,-3) are located on the grid. Which measurement is closest to the distance between point E and point D
in units?
Answers
Answer:
10.8 units
Step-by-step explanation:
Step-by-step explanation:
To find the distance between two points, use the distance formula.
The double number lines show the ratio of yards to miles.
How many yards are in 5 miles?
Answers
8800
Step-by-step explanation:
Divide 3520 by 2 to get 1760
Then you multiply 5 by 1760 to get 8800
what is an evaluated expression for -7+6x-4x+3
Answers
Answer:
-4+2x
Step-by-step explanation:
-7+3=-4
6x-4x=2x
Answer:
-4 + 2x
Step-by-step explanation:
-7 + (+3) = -4, which is why i included a -4 in the expression
6x - 4x = 2x, which is why i included a 2x in the expression
What is the ratio of the blue shapes to all the shapes in the set below?
A: 4:9
B: 5:9
C: 4:5
D: 5:4
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. 5:9
Step-by-step explanation:
What is 1486.377 rounded to the nearest hundredth?
Answers
Answer:
1486.38
Step-by-step explanation:
Answer:
1,486.38
Step-by-step explanation:
Linda has a shelf that is 56 over 5 inches wide. How many catalogs can Linda arrange on the shelf if each catalog is 4 over 5 of an inch thick? 14, because the number of catalogs is 56 over 5 divided by 4 over 5 9, because the number of catalogs is 56 over 5 divided by 5 over 4 22, because the number of catalogs is 56 over 5 multiplied by 4 over 5 31, because the number of catalogs is 56 over 5 multiplied by 5 over 4
Answers
Answer: 14, because the number of catalogs is 56 over 5 divided by 4 over 5.
Step-by-step explanation:
From the question, we are informed that Linda has a shelf that is 56/5 inches wide and that each catalog is 4/5 of an inch thick?
The number of catalogs that Linda can arrange on the shelf will be:
= 56/5 ÷ 4/5
= 56/5 × 5/4
= 56/4
= 14
Answer:
the answer is A 14
Step-by-step explanation:
because the number of catalogs is 5 divided by 4 over 5 9
x^2 - x + 6 = 0
how do I solve that?
Answers
-23
Step-by-step explanation:
x2−x+6=0
Step 1: Find discriminant with a=1, b=-1, c=6.
b2−4ac
=(−1)2−4(1)(6)
=−23
Answer:
−23
Answer:
no solution
Step-by-step explanation
[tex]x^{2}-x+6=(x^{2}-2.\frac{1}{2}x+\frac{1}{4})+6-\frac{1}{4}=(x-\frac{1}{2})^{2}+\frac{23}{4}[/tex]
see : [tex](x-\frac{1}{2})^{2}\geq 0 => (x-\frac{1}{2})^{2}+\frac{23}{4}\geq 0+\frac{23}{4}>0[/tex]
but x² - x + 6 =0
=> it is unreasonable
Un bloque de 2kg es trasladado a lo largo de la superficie lisa por accion de una fuerza f=40N ¿cual es el trabajo realisado por la fuerza "f"y por la fuersa de gravedad para un recorrido de 6m?
Answers
Explicación paso a paso:
Workdone = Fuerza * distancia movida en la dirección de la fuerza
Dado
Fuerza f = 40N
Distancia = 6 m
El trabajo realizado por la fuerza F es:
Trabajo hecho = 40 * 6
Trabajo terminado = 240 Nm
El trabajo realizado por la fuerza de la gravedad es el trabajo realizado por el cuerpo de 2 kg:
W = mg
W = 2 * 10
W = 20N
Trabajo realizado = 20 * 6
Trabajo terminado = 120 Nm