Answer: The measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Step-by-step explanation:
Let the measure of angle J be x.
Then, the measure of angle K will be 3x
and the measure of angle L = 8x
Since the sum of all angles of a triangle is 180 degrees.
Then,
angle J + angle K + angle L = 180 degrees
⇒ x+3x+8x =180
⇒ 12x = 180
⇒x = 15 [divide both sides by 12]
Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.
i.e. the measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Graph the equation y = 4x − 5 using slope and y−intercept.
on a graph
Evaluate the following expression when x = 3 and y = 4:
2x + y2 - 1
Answer:
21
Step-by-step explanation:
x = 3
y = 4
2x + y² - 1
2(3) + 4² - 1
2(3) + 16 - 1
6 + 16 - 1
22 - 1
21
The graph shows a line and two similar triangles.
What is the equation of the line?
A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x
Answer:
a y=3/2× Pls help me do me one
a
Joy and Joey share a 18-ounce bucket of clay. By the end of the week, Joy has used
1
6
of the bucket, and Joey has used
2
3
of the bucket of clay. How many ounces are left in the bucket?
Subtract.
(2/9v)-(-1/3v+5/9)
Answer:
Use Desmos the calculator
Step-by-step explanation:
Which equation has no solution?
13y+2-2y=10y+3-7
9(3y+7)-2=3(-9y+9)
32.1y+3.1+2.4y-8.2=34.5y-5.1
5(2.2y+3.4)=5(y-2)+6y
Answer:
D has no solution
I hope this helps a little bit.
2/3 divided by 3/6 is : help asap
the answer is 4/3 OR 1 1/3 :)
Martina runs 8 miles in 72 minutes.
How many minutes does she take per mile?
Answer:
9 minutes per mile
Step-by-step explanation:
72/8 = 9 min/mile
find lcm of 7 by 24 and 17 by 36
Step-by-step explanation:
LCM for 7 by 24=168
LCM for 17 by 36=612
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
Welp, the last one before the test
Answer:
y=2x-3
Step-by-step explanation:
y=mx+c
m=gradient=
5-(-5)/4-(-1)
=10/5
=2
c=y intercept=-3
y=2x-3
Answer:
y = 2x - 3
Step-by-step explanation:
(4, 5) and (0, -3)
m=(y2-y1)/(x2-x1)
m=(-3-5)/(0-4)
m=(-8)/(-4)
m=2
y - y1 = m(x - x1)
y - 5 = 2(x - 4)
y - 5 = 2x - 8
y = 2x - 3
1. At best buy they have a 50" TV that sells for $1450 and is on sale for 20% and sales tax is
7.5%. What is the final cost?
the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof
Answer:
Need more points lang sorry
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
Lana has completed 65% of her math homework. Which fraction is equivalent to 65%?
A. 13/20
B. 65/1
C. 7/20
D. 13/2,000
Answer:
A) [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
[tex]\frac{13}{20} = 065 = 65%[/tex]%
[tex]\frac{65}{1} = 65 = 100%[/tex]%
[tex]\frac{7}{20} = 035 = 35[/tex]%
[tex]\frac{13}{2,000} = 0.0065 = 0.0065[/tex]%
The staircase has three identical parallelogram-shaped panels. The horizontal distance between each panel is 4.25 inches. The area of each panel is 287 square inches. What is the value of x ?
*see attachment for diagram
Answer:
x = 20.5 in.
Step-by-step explanation:
What we are requested to find is the height of the panel/parallelogram = x
Area of each panel = base × height = 287 in.²
Given that the total length of the 3 panels which includes the length of the 2 gaps within them = 50.5 in., first, let's find the base length of each panel.
Base length of each panel = (total length - length of the 2 gaps in between the 3 panels) ÷ 3
= (50.5 - 2*4.25) ÷ 3
= 42 ÷ 3
Base length of each panel = 14 in.
✔️Next is to find the height of the panel, x.
area of parallelogram = base × height
Base = 14 in.
height = x
Area = 287 in.²
Plug in the values
287 = 14 × x
287 = 14x
Divide both sides by 14
287/14 = x
20.5 = x
x = 20.5 in.
50 points! Given the vertices A(-4,6), B(6,6), C(6,2),find the circumcenter. I will mark brainliest. Random answers will be reported
Answer:
(1, 4)Step-by-step explanation:
The circumcenter is the intersection of the perpendicular bisectors.
Find the two equations for the perpendicular bisectors and solve the system for intersection point.
Given the vertices A(-4,6), B(6,6), C(6,2)
Find the slope and midpoint of AB and BC
m(AB) = (6 - 6)/(6 - (-4)) = 0, this is a horizontal segmentM(AB) is
x = (-4 + 6)/2 = 1, y = (6 + 6)/2 = 6Perpendicular bisector is a vertical line that passes through (1, 6) so its equation is:
x = 1m(BC) is undefined as x-coordinates are same, so the segment is vertical
M(BC) is
x = (6 + 6)/2 = 6, y = (6 + 2)/2 = 4Perpendicular bisector is a horizontal line that passes through (6, 4) so it is:
y = 4The intersection of the lines x = 1 and y = 4 is the point (1, 4)
The circumcenter is point (1, 4)
A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)
Answer:
(5,3)
Step-by-step explanation:
I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.
Next I plotted the point (1,3).
Then I counted the spaces between point 1,3 and 3,1 as shown in the picture
Finally I graphed the point and connected the lines to make sure it looked like a parabola.
What's the area of the circle r=1.2 yd plss help
Answer: 1.44pi
Step-by-step explanation: just plug in 1.2 for r in a=pi(r^2)
What is the measure of ∠D to the nearest degree?
Answer:
Option A. 47°
Step-by-step explanation:
In the given triangle as per sine rule
sin F/DE = sin D/54
sin 71/70 = sin D/54
sin D = (54×sin 71)/70 = 54×0.9455/70 = 51.06/70 = 0.729
Therefore Option A. angle D = 47° is the answer.
Find the value of x.
Answer:
x = 13
Step-by-step explanation:
3x + 5 = 44
3x = 39
x = 13
John buys a bag containing 3 pounds of flour. He uses 12 ounces of the flour for a craft project. How much flour is left in the bag?
PLEASE ASAP
Answer:
36 ounces
Step-by-step explanation:
3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)
Circumference = ×What is another way to write this?
Answer:
2 × pi × radius
..................
What is arc BDE?
Links=reported
Plz helppp!!
Answer:
around 228 degrees
Step-by-step explanation:
Answer: 143
Step-by-step explanation:
Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%
Answer:
i. 818.18
ii. 940.9
Step-by-step explanation:
SP = 900
or, CP + 10% of CP = 900
or, CP + 10/100 × CP = 900
or, 110CP = 90000
or, CP = 90000/110
CP = 818.18
for profit= 15%
SP = 9000/11 + 15% of 9000/11
= 940.9
find the value of x?
Answer:
30
Step-by-step explanation:
The sum of the angles of a triangle is 180
x+34 +116 = 180
Combine like terms
x+150 = 180
Subtract 150 from each side
x+150-150 = 180-150
x = 30
using the angle sum property of triangle.
According to this, sum of all angles of a triangle is equal to 180°
x° + 116° + 34° = 180°
x° + 150° = 180°
x° = 180° - 150°
x° = 30°
Which words correctly complete the statement below?
APOR is dilated with the center of dilation at the origin and a scale factor of 0.5 to
obtain AP'O'R' The triangles' corresponding angles are
and their
corresponding sides are
therefore, the triangles are
congruent; proportional; similar
congruent; congruent; congruent
proportional; proportional; similar
proportional; congruent; congruent
Answer:
congruent; proportional; similar
Step-by-step explanation:
Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?
Answer:
13 servings
Step-by-step explanation:
(11/10) / (2/25)
= 13.75
She can make 13 servings [not enough to make up to 14 servings]
please help!!! will mark brainliest
Answer:
2nd one I believe
Step-by-step explanation:
Find the slope using points ( 7,-3) and (11,-4)
Answer:
1/4
Step-by-step explanation:
Answer:
m = [tex]-\frac{1}{4}[/tex]
Step-by-step explanation:
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (11 , -4)\\(x_2 , y_2) = (7 , -3)\\[/tex]
Plug in the corresponding numbers into the corresponding variables:
slope (m) = [tex]\frac{-3 - (-4)}{7 - 11} = \frac{-3 + 4}{7 - 11} = \frac{1}{-4} = -\frac{1}{4}[/tex]
[tex]-\frac{1}{4}[/tex] is your answer.
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