Answer:
The measure of the angle JKG is:
m∠JKG = 56°
Step-by-step explanation:
Given
m∠JKG = 76-2x
m∠FHK = 6x-4
J is a midpoint of the segment FG and K is a midpoint of the segment GH.
To determine
m∠JKG = ?
Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH
We know that two triangles are similar if the only difference is size. So, the angles remain the same.
so m∠JKG and m∠FHK are equal.
i.e.
m∠JKG = m∠FHK
substitute m∠JKG = 76-2x and m∠FHK = 6x-4
76-2x = 6x-4
6x+2x = 76 + 4
8x = 80
divide both sides by 8
8x/8 = 80/8
x = 10
Therefore, the value of x = 10
As
m∠JKG = 76-2x
substitute x = 10
m∠JKG = 76 - 2(10)
= 76 - 20
= 56°
Therefore, measure of the angle JKG is:
m∠JKG = 56°
In the figure, a || e, m || n, and m/3 = 112°. What is the m/1? Enter your answer in the box.
Answer:
∠ 1 = 112°
Step-by-step explanation:
Since m and n are parallel lines then
∠ 2 and ∠ 3 are corresponding angles and congruent, that is
∠ 2 = ∠ 3 = 112°
∠ 1 and ∠ 2 are vertical angles and congruent, thus
∠ 1 = 112°
Answer:
112*
Step-by-step explanation:
Pls help me with this math question I will mark burinist if you answer right.
Answer:
slope is [tex]\frac{1}{7}[/tex].
Step-by-step explanation:
x y
point 1: -4 -3
point 2: 3 -2
slope:
[tex]\frac{y^2-y^1}{x^2-x^1} \\\frac{-2-(-3)}{3-(-4)} \\= \frac{1}{7} \\[/tex]
Nolan rides his bike 63 miles in 270 minutes. What is his average speed in miles per hour?
miles per hour
Time = 270 mins = 4 hr. 30 mins = 4½ hr.
distance = 63 miles
thus, speed = distance travelled / time taken
speed = 63/(4½) miles per hr
speed = 14 miles per hr.
pls mark this as brainliest.
I WILL MARK BRANLIEST YALL HELP A STUDENT IN NEED
Hello! :)
[tex]\large\boxed{x = 4}[/tex]
In order for the figure to be a kite, each pair of opposite sides must be congruent. Therefore:
GL ≅ GT, and LO ≅ TO
We can solve for x by setting GL and GT equal to each other:
4x + 1 = 17
Subtract 1 from both sides:
4x = 16
Divide both sides by 4:
x = 4.
Verify that it satisfies LO ≅ TO:
6(4) - 3 = 21
24 - 3 = 21
21 = 21.
Therefore, x = 4.
Answer:
[tex]\huge\boxed{x=4}[/tex]
Step-by-step explanation:
Kites are quadrilaterals that have two pairs of two sides that are the exact same length. These sides will be adjacent to one another and therefore they will be the same value.
Looking at the question, we can see that the sides [tex]4x+1[/tex] and [tex]17[/tex] will be two pairs of equal length sides. Therefore, we can solve for x by setting the two equal to each other (as they both will be the same value)
[tex]4x+1= 17[/tex]
Now we can solve for x.
[tex]4x+1=17[/tex] [tex]4x=16[/tex] [tex]x=4[/tex]We can double check this by testing in the same way with the second pair of equal sides, [tex]6x-3[/tex] and [tex]21[/tex].
[tex]6x-3= 21[/tex] [tex]6x=24[/tex] [tex]x=4[/tex]Therefore, to make this figure a kite, x=4.
Hope this helped!
30% of 6th grade student made honor roll. if there are 248 students in 6th grade, how mant students were on the honor roll
Answer:
74.4
Step-by-step explanation:
PLZ ANSWER ASAP ITS DUE IN 20 MINS
Answer:
a) red
b) 1/16
c) 7/16
Step-by-step explanation:
probabilities on spinner:
yellow = 1/2
red = 1/4
blue = 1/8
green = 1/8
a) P(odd) = 1/2 1/2 x 1/4 = 1/8 1/4 represents Red
b) P(2, G or R) = 1/6 x (1/8 + 1/4) = 1/6 x 3/8 = 1/16
c) P(Prime, Not Blue) = 1/2 x 7/8 = 7/16
* prime numbers on a number cube are 2,3,5
The length of one side of a squar city is 465 meters . What is the perimeter of the block
Answer:
1860meters
Step-by-step explanation:=Step one:
given data
The length of one side of a square city is 465 meters
We know that perimeter= 4L
P=4*L
Step two:
substitute
P=4*465
P=1860meter
Ms. Adams shares out 40 pencils between Niamh and Jack in the ratio 2 : 6 How many pencils does Niamh get Jack get
Answer:
30 pencils
Step-by-step explanation:
Given :
Number of pencils shared = 40
Sharing ratio = 2 : 6
Nimah's share = (2 / sum of ratio) * number of pencils
Nimah's share = (2 / 8) * 40
Nimah's share = 80 / 8
Nimah's share = 10 pencils
Jack's share = total number - Nimah's share
Jack's share = 40 - 10
Jack's share = 30
please help quick it is due by 12 am
In Mrs. Burgess' advisory, 18 students saw the action movie and 12 didn't. What is the ratio of students who saw the movie to the total students? Simplify the ratio.
Answer:
18:30 or 9:15 depending on if you need to simplify
Step-by-step explanation:
What is the domain of the function shown in the graph?
Look closey but Asnwer FAST!!!!
What is the product of 3x+4 and 6x2-4x+2
Answer:
18x³ + 36x² + 22x + 8
Step-by-step explanation:
Multiply 3x + 4 times each term in the latter equation. 6x² times 3x + 4 is 18x³ + 24x².
3x + 4 times 4x is 12x² + 16x.
3x + 4 times 2 is 6x + 8.
Combine like terms to get 18x³ + 36x² + 22x + 8
Solve the inequality. Graph the solution.
−2>m/6−7
Answer:
Step-by-step explanation:
m<30
To find the sum of 4/10 and 3/100 how must 4/10 be expressed before adding it to 3/100
Answer:
It should be expressed as 40/100.
Step-by-step explanation:
The denominators should be equal
4x - 10 > 22 or x-5 < -6
I need to know how to do this step by step..
Answer:
x > 3 or x < -1
Step-by-step explanation:
4x - 10 > 22
-10 -10
4x > 12
divide both sides by 4
x > 3
x - 5 < -6
+5 +5
x < -1
Hope this helps!!!
know vey hard. but need help. humanity
Answer:
a. AB = 17 m
b. AC = 19.2
Step-by-step explanation:
✔️Length of AB:
Apply pythagorean theorem
AB² = (25 - 10)² + 8² = 15² + 8²
AB² = 289
AB = √289
AB = 17 m
✔️Length of AC:
Apply pythagorean theorem
AC² = AB² + BC²
AC² = 17² + 9²
AC² = 370
AC = √370
AC = 19.2 (to 1 d.p)
what is the difference if you deduct 50.78 to 99.75
A. 49.97
B. 50.97
C. 48.97
D. 48.79
Answer: 48.97
Step-by-step explanation:
g = 6x solve for x
Write an algebraic expression to model the given context. Give your answer in simplest form. the price p of a coat reduced by a 5% discount
Answer:
We conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
Step-by-step explanation:
Let 'p' be the original price
Discount = 5% = 0.05
The discount amount can be calculated by multiplying the original price by 5% or 0.05
Discount Amount = 5% × p
= 0.05 × p
= 0.05 p
Given that the price p of a coat reduced by a 5% discount.
Thus, the price after 5% discount can be calculated by subtracting the discount amount i.e. 0.05 p from the original price p.
Thus,
The expression of the price p after 5% discount = p - 0.05 p
= 0.95 p
Therefore, we conclude that the expression of the price p of a coat reduced by a 5% discount will be: 0.95 p
It's students so raffle tickets to raise money for a field trip the first 20 tickets sold four dollars each to sell more tickets they lower the price to two dollars each if they raise $216 how many tickets do they sell at all
Which of the following is an equivalent ratio to 5/2
A.) 750/262
B.) 655/262
C.) 475/262
D.) 131/262
Answer:
262/2 = 131
131 X 5 = 655
the answer is B: 655/262
She needs to buy at least 100 chairs. Chairs with arms cost $80. Chairs without arms cost $70. Ms. Robinson can spend, at most, $7,500 on chairs.
Answer:
50 chairs with arms and 50 without arms will cost $7500
Step-by-step explanation:
Create two equations using the given information. The unknowns are :
W = Number of chairs with arms
N = Number of chairs with No arms
First equation (associated with the total number of chairs to buy):
W + N = 100
Second equation (associated with the amount to spend):
80 W + 70 N = 7500
Solving: solve for W in the first equation: W = 100 - N
Use it to substitute for W in the second equation:
80 (100 - N) + 70 N = 7500
8000 - 80 N + 70 N = 7500
subtract 8000 from both sides and combine
- 10 N = - 500
Divide both sides by -10 in order to solve for N
N = -500 / (-10) = 50
Now use this value in the substitution equation to solve for W:
W = 100 - 50 = 50
So the person can buy 50 chairs with arms and 50 chairs without arms paying for them $7,500.
Which inequality is shown in this graph?
A. ys 2x - 2
B. y2-2x-2
C. yz 2x-2
D. ys-2x-2
Answer:
D
Step-by-step explanation:
when graphing inequalities if the shaded region is below the line then it is less than. Solid line makes it equal to. Line is going downwards so slope is negative. y intercept is in the negative region.
The inequality which is shown in this graph is y ≥ 2x - 2, the correct option is C.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that;
The graph
Now,
The inequality that is shown in this graph is C. y ≥ 2x - 2. This is because the graph shows a solid line with a slope of 2 and a y-intercept of -2, which is the equation y = 2x - 2. The solid line means that the points on the line are included in the solution set of the inequality. The shaded region above the line means that the points in that region satisfy the inequality.
Therefore, by the inequality the answer will be y ≥ 2x - 2.
Learn more about inequality ;
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Which is a correct classification for the triangle?
O equiangular triangle
O right triangle
O acute triangle
O obtuse triangle
Answer:
right angle
Step-by-step explanation:
180-(31+59)= 90
The correct classification of the triangle should be considered as the right triangle.
What is the right triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.
here, we have,
given that,
In the case when the sum the two given angles is 90,
so, the other angle will be 90
so, its a right triangle.
A right angled triangle is a triangle in which one of the angles is 90°. A 90-degree angle is called a right angle, and hence the triangle with a right angle is called a right triangle. Further, based on the other angle values, the right triangles are classified as isosceles right triangles and scalene right triangles.
Hence, The correct classification of the triangle should be considered as the right triangle.
Learn more about triangle here:
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What is the value of x?
12 in.
16 in.
20 in.
30 in.
v=n/t+10
solve for n
Answer:
Lets isolate
v-10=n/t
negate the right side
t(v-10)= n
Please answer FAST. PLEASE !
' Evaluate each expression if a=3, b=4, and c=12 '
1. a + b + c =
2. b - a =
3. b + c ÷2 =
4. ab
5. c÷a + 10 =
6. c÷a + 10 =
7. ab - c =
' Evaluate each expression if s=1, t=3, and u=5 '
8. us - t
' Evaluate each expression if a=2, b=3, and c=5 "
9. (25 + c) ÷b
Answer:
Is this from a test
Step-by-step explanation:
graph the line y=-4/3x+1
Two triangles are similar.The the smaller triangle has side 10,20 and 15 units the larger triangles longest side is 52 units.What is the perimeter of the largest triangle?
Answer: The perimeter of the largest triangle = 117 units.
Step-by-step explanation:
Sides of smaller triangle = 10,20 and 15 units
Longest side = 20 units
Longest side of larger triangle = 52 units
Sides of two similar triangles are proportional.
Let k be proportionality constant.
[tex]k=\dfrac{\text{Length in larger triangle}}{\text{Length in smaller triangle}}[/tex]
[tex]k=\dfrac{52}{20}\\\\\Rightarrow\ k=\dfrac{13}{5}[/tex]
Length of other two sides,
[tex]10\times\dfrac{13}{5}, 15\times\dfrac{13}{5}\ i.e.\ 26\text{ units}, 39\text{ units.}[/tex]
So sides of larger triangle = 52 units, 26 units , 39 units
Perimeter of largest triangle = 52 +26+39 = 117 units
Hence, the perimeter of the largest triangle = 117 units.
I need help 100 points if you answer this
Answer:
I will do a couple of the since there is so many with little time, any more I do is if you do not understand.
Step-by-step explanation:
1st row(column?)- Decimal form= 0.125 Percent= %12.5
2nd- Fraction= 3/4 Decimal= 0.75
3rd- Decimal= 0.6 Percent- %60
Hope this helps :)
your answers-
1st row(column?)- Decimal form= 0.125 Percent= %12.5
2nd- Fraction= 3/4 Decimal= 0.75
3rd- Decimal= 0.6 Percent- %60