Answers
Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
[tex]3x + 2x + 80 = 180 \\ 5x + 80 = 180 \\ 5x = 180 - 80 \\ 5x = 100 \\ \\ x = \frac{100}{5} \\ \\ x = 20[/tex]
Answer:
x=20
Step-by-step explanation:
The 3 angles are on a straight line together. Therefore, they are supplementary. This means they must add to 180 degrees.
Therefore,
3x+80+2x=180
Combine like terms by adding 3x and 2x
(3x+2x)+80=180
5x+80=180
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
80 is being added to 5x. The opposite of addition is subtraction, so subtract 80 from both sides.
5x+80-80=180-80
5x=180-80
5x=100
x is being multiplied by 5. The opposite of multiplication is division, so divide both sides by 5.
5x/5=100/5
x=100/5
x=20
x is equal to 20.
Related Questions
Find t12 term in an arithmetic progression having t3 = 10 and t10 = −4 .
Answers
Answer:
t12= -8
Step-by-step explanation:
t3
a+2d=10 (1)
t10
a+9d=-4. (2)
From (1)
a=10-2d. (3)
Sub into (3) into equ (2)
a+9d=-4
10-2d+9d=-4
10+7d=-4
7d=-4-10
7d=-14
Divide both sides by 7
d=-14/7
d= -2
10=a+2d
10=a+2(-2)
10=a-4
10+4=a
14=a
a=14
t12=a+11d
= 14+11(-2)
=14-22
= -8
t12= -8
What is the slope of the line shown below?
A. - 1/2
B. 1
C. -1
D. 1/2
Answers
Answer:
C. -1
Step-by-step explanation:
Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (1,7) and (3,5).
[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]
The slope is -1, and therefore, Option C should be the correct answer.
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm
Answers
Answer:
Correct option: First one -> 16 mm
Step-by-step explanation:
The equilateral triangle has its three sides with the same length.
So if the perimeter is 96 mm, we have:
[tex]Perimeter = 3*side[/tex]
[tex]3*side = 96[/tex]
[tex]side = 32 mm[/tex]
The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:
[tex]height = \frac{side * \sqrt{3}}{2}[/tex]
[tex]height = 16\sqrt{3}[/tex]
Using the Pythagoras' theorem in the triangle ACM, we have:
[tex]side^2 = MC^2 + height^2[/tex]
[tex]1024 = MC^2 + 768[/tex]
[tex]MC^2 = 256[/tex]
[tex]MC = 16\ mm[/tex]
Correct option: First one
Answer:
(A) 16mm
Step-by-step explanation:
HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT
Answers
Answer:
x = 3
Step-by-step explanation:
The triangles are similar, using ratios
x 8
------ = -----------
18 48
We can use cross products to solve
48x = 8*18
48x = 144
Divide each side by 48
48x/48 = 144/48
x =3
Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.
I’m thinking it’s complementary?
Answers
Answer:
Complementary angles.
Step-by-step explanation:
Complimentary angles means sum of angles = 90°
Supplementary angles of linear pair means sum of pair of angles = 180°
As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,
a + b = 90°
Angles 'a' and 'b' will be complementary angles.
Would somebody help with this?
Answers
Answer:
Both A and D
Step-by-step explanation:
Not absolutely 100%, but I think it's the answer.
x + 2 4/5 = 3 1/6
someone please help me i don’t get the problem
Answers
-11/10
Step-by-step explanation:
so first get the x on one side of the equal sign and the numbers on the other.
x+2 4/5 = 3 1/6
- 2 4/5 - 2 4/5
x= -11/10
A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.
Answers
Answer:
So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.
The answer is 12 guests
Please answer this correctly
Answers
Answer
[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
What is the product of 7/9 and 1/4
Answers
Answer:
7/36
Step-by-step explanation:
7/9* 1/4
Multiply the numerator
7*1 = 7
9*4 = 36
Put the numerator over the denominator
7/36
Answer:
Brunliest plzStep-by-step explanation:
7/9 x 1/4 = 7/36
Urgent! please help!
(row 1-2) Select if each situation represents a nonlinear function, a linear function, or not a function.
Answers
Answer:
Table 1 is definetely non-linear thats because if 10 - 8
then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.
Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not
BOTH ARE NON-LINEAR
a.
If f(x) = 25 - xand g(x) = 5 - , which is the rule of function (8 + 9)(x)?
-x2 + x+ 20
5 + x
x? - 5x2 - 25x + 125
--X2 - x + 30
b.
C.
d.
Please select the best answer from the choices provided
Answers
Answer:
The answer is D.
Step-by-step explanation:
You have to add both functions together :
[tex]f(x) = 25 - {x}^{2} [/tex]
[tex]g(x) = 5 - x[/tex]
[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]
[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]
[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]
George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George have in his account in five years
Answers
Answer:
$1475.40
Step-by-step explanation:
Since the interest is two times per year for 5 years, do this 10 times:
1) 750*0.07=52.5
750+52.5=802.5
2) 802.5*0.07=56.18
802.5+56.18=858.69
3) 858.69*0.07=60.11
858.69+60.11=918.79
4) 918.79*0.07=64.32
918.79+64.32=983.11
5) 983.11*0.07=68.82
983.11+68.82=1051.93
6) 1051.93*0.07=73.64
1051.93+73.64=1125.57
7) 1125.57*0.07=78.79
1125.57+78.79=1204.36
8) 1204.36*0.07=84.31
1204.36+84.31=1288.67
9) 1288.67*0.07=90.21
1288.67+90.21=1378.88
10) 1378.88*0.07=96.52
1378.88+96.52=1475.40
Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommendation, what is the minimum amount of calories from protein an adult should consume from an 1,800 calorie diet?
Answers
Answer:
360-540 calories
please can you guy help for this questiong
please
Answers
Answer:
Step-by-step explanation:
From the figure attached,
Given: ∠P ≅ ∠S
TQ ≅ RQ
To Prove : ΔQRS ≅ ΔQTP
Statements Reasons
1). ∠P ≅ ∠S, TQ ≅ RQ Given
2). ∠RQS ≅ ∠TQP Reflexive property
3). ΔQRS ≅ ΔQTP AAS
is the function in the graph non-linear?
4
3
-32
2
5
O Yes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
No, because it has a constant rate of change.
No, because it does not have a constant rate of change.
Answers
Answer:
B. Yes, because it does not have a constant rate of change.
Step-by-step explanation:
For a function to be a function (or linear), the rate of change MUST be proportional. In this data set, the numbers do not seem proportional, which makes it non-linear.
The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.
True
False
Answers
Answer:
False
Step-by-step explanation:
When triangles are similar, their sides are proportional, not congruent.
I hope this helps :))
please help me, I just needa pass this lesson!!!
Answers
Answer:
Plot the points (0,2) and (3,3)
Step-by-step explanation:
(0,2) is the y-intercept and the slope is always rise over run so go up 1 unit and right 3 units, that gets you to (3,3)
you could also plot any point other than (3,3) that is on the same line
the graph below describes the journey of a train between two cities
Answers
Answer:
Step-by-step explanation:
To find : Acceleration in first 15 min . Distance between two cities Average speed of journey
Solution:
Each horizontal block is 1/8 hr = 7.5 min
Each vertical block is 10 km/hr
Time Velocity km/hr
0 Min ( 0 hr) 0
15 Min (1/4 hr) 50
45 Min (3/4 hr) 50
60 MIn ( 1 hr) 100
90 Min ( 3/2 hr) 100
120 Min ( 2hr) 0
Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)
= 200 km/h²
Distance between two cities
= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)
= 25/4 + 25 + 75/4 + 50 + 25
= 125
Distance between two cities = 125 km
Average Speed of journey = 125/2 = 62.5 km/hr
Acceleration in first 15 min = 200 km/h²
Distance between two cities = 125 km
Average Speed of journey = 62.5 km/hr
Hope this helps..
Answer:
200km/h^2, 125km, 62.5km/h
Step-by-step explanation:
For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.
For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.
If a total of N1294 was
collected, calculate the value
of x *
Answers
Answer:
142
Step-by-step explanation:
5*(x+60)+2*x=1294
5x+5*60+2x=1294
7x+300=1294
-300 -300
7x=994
x=994:7
x=142
142
Step-by-step explanation:
5(60+x) +2(x) = 1294
300+5x+2x= 1294
7x= 994
X= 142
For each set of probabilities, determine whether the events A and B are independent or dependent.
Answers
Answer:
[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Apply the correct formula to check whether two events are independent or not
If the events A and B are independent, then:
P(A) x P(B) = P(A⋂B)
The formula of conditional probability:
P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)
Step 2: Perform the calculation
a)
P(A) x P(B) = (1/6) x (1/4) = 1/24
P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
b)
P(A) x P(B) = (1/2) x (1/4) = 1/8
P(A⋂B) = 1/8
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
c)
P(A) x P(B) = (1/2) x (1/6) = 1/12
P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12
=> P(A) x P(B) is equal to P(A⋂B)
=> A and B are independent.
d)
P(A) x P(B) = (1/3) x (1/6) = 1/18
P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6
=> P(A) x P(B) is not equal to P(A⋂B)
=> A and B are not independent.
Hope this helps!
:)
Which graph shows line symmetry about the y-axis?
Answers
Answer:
1st one does
Step-by-step explanation:
There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
When a graph is symmetry about the y-axis?A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.
The graph which is symmetry about y-axis is attached below.
In the given image,
The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.
Learn more about the symmetry of graph here;
https://brainly.com/question/5960559
#SPJ2
Pls help me with this question I’m trying to Anwser
Answers
Answer:Wish i could help, but I'm just as confused.
Step-by-step explanation:
Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.
Answers
Answer:
The area is twice the circumference
Area = 2 * circumference
Step-by-step explanation:
Proof:
r = 2
Circumference = 2[tex]\pi[/tex]r
Circumference = 12.566
Area = [tex]\pi[/tex]r^2
Area = 25.132
25.132/12.566 ≈ 2
Answer:
the (area) is (1/2) times the (radius) times the circumference.
Step-by-step explanation:
i dont know how to explain it exactly but i found the cerect answer.
Can some one help me plz trying to figure out? Need help ASAP
Answers
Answer:
[tex] a. = -35 \\ b. = 9a + 1 \\ c. = -35 [/tex]
Step-by-step explanation:
[tex]a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35[/tex]
Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm
Answers
Answer:
a
Step-by-step explanation:
r = 2.5 cm
V= 3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]
Answer:
a
Step-by-step explanation:
A counterexample for sinytany=cosy is 0 degrees
true or false?
Answers
Answer:
False
sin (y) / cos (y) = cos (y)
cos (y) could be any value from -1 to 1.
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
z=5 is a solution choose 3 answers
A
8=z+3
B
z-1=6z
C
20=40÷z
D
12z=60
E
12+z=60
Answers
Answer:1. (a) 8=z-3 ---> z=5
2.(d) 12z=60----> z=5
3.(e) 12+z=17 ----> z= 5
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
A. 8 = z + 3 → subtract 3 from both sides:
5 = z
-------------------------------------------------------------------
B. z - 1 = 6z → subtract z from both sides:
-1 = 5z → divide both sides by 5:
-0.2 = z
--------------------------------------------------------------------
C. 20 = 40 ÷ z → multiply both sides by z:
20z = 40 → divide both sides by 20:
z = 2
--------------------------------------------------------------------
D. 12z = 60 → divide both sides by 12:
z = 5
---------------------------------------------------------------------
E. 12 + z = 60 → subtract 12 from both sides:
z = 48
G(x)=-2x-9 what is g(-7)
Answers
Answer:
g(-7)=5
Step-by-step explanation:
-2(-7)-9
14-9=5
Answer:
5
Step-by-step explanation:
G(x)=-2x-9
Let x = -7
g(-7) = -2(-7) -9
= 14 - 9
= 5
Convert y = 8x^2-80x-32 to vertex form by completing the square.
Answers
Answer:
y = 8(x-5)^2 -232
Step-by-step explanation:
Factor out the 8 to get
y = 8(x^2-10x-4)
y = 8(x-5)^2 -232
Answer:
y = 8 (x - 5)^2 - 232
Step-by-step explanation:
Dividing the whole equation by 8, we get:
y = 8 (x^2 - 10x - 4)
y = 8 (x - 5)^2 - 232
Hope this helps!