Answers
Answer:
a.
2x+4x+3x=180 sum of interior angle of the triangle is 180
9x=180
x=180/9=20
b.
x-20+x+10+x-20=180sum of interior angle of the triangle is 180
3x-30=180
3x=180+30
x=210/3=70
c.x+10+x+20+x=180 linear pair
3x+30=180
3x=180-30
x=150/3=50
Answer:
The picture is kinda blurry so I hope I've got it right.
a) x = 20°
b) x = 70°
c) x = 50°
Step-by-step explanation:
a) 2x + 3x + 4x = 180°
9x = 180°
x = 50°
b) (x - 20°) + (x - 20°) + (x + 10°) = 180°
3x - 30° = 180°
3x = 210°
x = 70°
c) (x + 10°) + (x + 20°) + x = 180°
3x + 30° = 180°
3x = 150°
x = 50°
Related Questions
I’m confused on what to do next please help
Answers
Answer:
There are 585 adults and children
Step-by-step explanation:
Let the number of adults be a, number of children be c and the number of seniors be a
Amount made per group;
adults; 52 * a = 52a
Children : 26 * c = 26c
Seniors = 20 * s = 20s
Adding all will give 20,490
52a + 20s + 26c = 20 490 ••••(i)
Now let us work with the ratios;
a : s = 6 : 1
a/s = 6/1
a = 6s •••••(ii)
Lastly;
a/c = 4/9
4c = 9a ••••(ii)
We want to get a + c
From the first equation , let’s substitute
52(6s) + 20s + 26c = 20,490
26c = 6.5 (4c)
but 4c = 9a; 6.5(9a)
But a = 6s
So we have; 6.5(9)(6s) = 351s
so we have;
312s + 351s + 20s = 20,490
683s = 20,490
s = 20490/683
s = 30
Recall;
a = 6s = 6 * 30 = 180
4c = 9a
4c = 9 * 180
c = (9 * 180)/4 = 405
So the total number of children and adult is a + c
405 + 180 = 585
What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6
Answers
Answer:
it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144
Answers
Answer:
12285
Step-by-step explanation:
David uses 1/4 bag of potting soil to plant 6 tomato plants. If he uses the same amount of potting soil for each plant, what fraction of the bag of potting soil will each plant get?
1/24
24
2/3
1 1/2
Answers
Answer:
Step-by-step explanation:
A
Can someone please help me with math.
Answers
Answer:
A
Step-by-step explanation:
Hello There!
First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)
Because the fee is 3 dollars we can immediately eliminate answers B and C
Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)
Once again we want to choose two points on the line and plug it in into the slope formula
the points are optional but i have chosen the points (1,4.5) and (2,6)
*plug it into the slope formula*
[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]
so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A
A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pulls the
stone out of the tank, the height of the water drops to 6 cm.
Find the volume of the stone. Be ready to explain the steps you took to solve the problem on the next slide (16).
What is the formula for VOLUME?
V
What is the VOLUME of the STONE? Remember to LABEL answer
Answers
Answer:
Formula for volume = length (L) × width (W) × height (H)
Volume of the stone = 1,440 cm³
Step-by-step explanation:
✔️Formula for the rectangular tank = L*W*H
✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone
✔️Volume of the tank with the stone:
L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)
Volume of the tank with the stone = 30*24*8 = 5,760 cm³
✔️Volume of the tank without the stone:
L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)
Volume of the tank with the stone = 30*24*6 = 4,320 cm³
✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³
HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies
Answers
Answer:
25%
Step-by-step explanation:
3/12=d/100
12×d=12d=3×100=300
12d÷12=d
300÷12=25
d=25
hope this helps
The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle
Answers
Answer:
10w
Step-by-step explanation:
→ Work out the length
4 × w = 4w
→ State width
w
→ Find perimeter
4w + 4w + w + w = 10w
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answers
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
help me plzz.im dying.
Answers
Answer:
B
Step-by-step explanation:
is this answer
Is it a function or not a function?
Answers
Answer:
Not a function
Step-by-step explanation:
Fails the vertical line test
Answer:
No a circle is not a function.
Step-by-step explanation:
A function is a mapping from 1 set to another
eg, 1 to 2
3 to 4
while a circle it maps the same point to another
meaning it has more than two input/output
(if u get what i mean)
HELPPPP HELPPP IM GOING TO FAILLL
Answers
Answer: A is the answer
Step-by-step explanation:
The slope of the line is 4/3 and it crosses the y-axis at 4
Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5
Answers
4/6 = x/150
So you will want to use the cross strategy
6x = 150(4)
6x = 600
6x ÷ 6 = 600 ÷6
x =100
Which of the following is most likely the next step in the series?
Answers
Answer:
Option A is the next step in the series.
Find the area of the figure.
Answers
Answer:
23.04
Step-by-step explanation:
A = a^2
A = 4.8^2
A = 23.04
Have a lovely day! <3
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answers
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours
Of the tangent is 15/20 what’s the sine of the angle
Answers
Answer:
25
Step-by-step explanation:
If y = -2x + 3, find y when x = -3
Answers
-2 multiplied by -3 is 6 and 6+3 is 9, meaning y= 9 when x= -3
Dos hermanos reciclaron la misma cantidad de kilos de papel que de envases de carton. Se pagan 183 por cada kilo de papel y 356 por cada kilo de carton y con lo que juntaron lograron ganar 3763.
Answers
Respuesta:
183x + 356y = 3763
Explicación paso a paso:
Dejar :
Número de kilos de papel = x; número de kilos de cartón = y
Kilo de papel = 183; kilo de cartón = 356
Cantidad total ganada = 3763
(Costo por kilo de papel * número de kilos de papel) + (costo de kilos de cartón * número de kilos de cartón)
(183 * x) + (356 * y) = 3763
183x + 356y = 3763
Find the center and radius of x2+2x+y2+10y=15
Answers
Answer: (x + 7)^2 + (y + 5)^ =9
Step-by-step explanation:
In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?
Answers
Answer:
33 students
Step-by-step explanation:
ratio = 6 : 5
if there are 3 more girl that boy
ratio 1 equal 3.
total ratio
6 + 5 = 11
total number of students
11 × 3 = 33
Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?
Answers
Answer:
he is drive 6.4 hours ......
Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?
Answers
Answer: Not rounded: 39.6 Rounded: 40
Step-by-step explanation:
What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers
Answers
Answer:
Domain = x > 2 , Range = {R}
Step-by-step explanation:
The given function to us is ,
[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]
Since logarithm are defined only for positive numbers therefore ,
=> (x - 2) > 0
=> x > 2
Therefore the domain of the function is x > 2 and it can have all positive real numbers .
Please help. What is the answer?
Answers
Answer:
Choice number 3
Step-by-step explanation:
Because look at the length of 8 on one side and notice the other side is a little longer
What is the equation of the line that passes through the point (5, -7) and has a
slope of o?
Answers
Answer:
y = -7
Step-by-step explanation:
To find the y-intercept, you need to plug the coordinates into the equation.
y = 0x + b
-7 = 0(5) + b
-7 = b
One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric content of each item.
Answers
Answer:
Step-by-step explanation:
Let the shake be x and the burrito y
x + 2y = 3040 ---- (1)
2x + y = 2840 ---- (2)
Make x the subject of formula in equation (1)
x + 2y - 2y = 3040 - 2y
x = 3040 - 2y
Substitute x = 3040 - 2y for x in equation (2)
2(3040 - 2y) + y = 2840
6080 - 4y + y = 2840
6080 - 3y = 2840
Subtract 2840 from both sides of the equation and add 3y to both sides of the equation
6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y
6080 - 2840 = 3y
3y = 3240
Divide both sides by the coefficient of x(which is 3)
[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]
y = 1080
Substitute y = 1080 for y in equation (2)
2x + 1080 = 2840
2x = 2840 - 1080
2x = 1760
[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]
x = 880
∴ The caloric content of one shake is 880 and for one burrito is 1080
Hope this helps
A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?
Answers
Answer:
1 1/2 tons per hour
Step-by-step explanation:
8 1/4 ÷ 5 1/2
15.00 + 1.75x > 7.50 + 2.25
Answers
Answer:
Step-by-step explanation:
PLEASE PLEASE HELP ME
Use a graph to make a conjecture about the coordinates of the intersection point of the lines y = - 7/9x + 3 and y = 1/3x - 2
Answers
Answer:
(4.5, -0.5)
Step-by-step explanation:
dude just use desmos its so much easier :)
Answer:
Not Perpendicular
Step-by-step explanation:
