Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot
Answer:
it's 10
Step-by-step explanation:
i searched it up.
1 Point
Which statement best describes the end behavior of the following function?
F(x) = 3x +4x3 - X+11
A. The graph of the function starts low and ends high.
B. The graph of the function starts high and ends high.
C. The graph of the function starts low and ends low.
D. The graph of the function starts high and ends low.
Answer:
The graph of the function starts high ends low
Step-by-step explanation:
I put the equation into Desmos
Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is he correct? Explain. StartFraction 55 over 220 EndFraction = 25 percent
Answer:
No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55
55/275 , or 20%.
Step-by-step explanation:
took the test on edg <3
Answer:
SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55
275
, or 20%.
Step-by-step explanation:
Please help with this question !
Answer:
to solve an equation you do PEMDAS in reverse.
Step-by-step explanation:
Add 1 to both sides.
multiply both sides by 4
square root both sides
now solve what's inside the parentheses by subtracting 5 from both sides.
Answer:
see below
Step-by-step explanation:
Add 1 to both sides
multiply both sides by 4
take the square root of both sides
subtract 5 from both sides
Topic: Probability
Only complete question 6.
Answer:
see below
Step-by-step explanation:
a) see attached chart
b) sum is 10
There are 3 that total to 10 (4,6) (5,5) and (6,4) and there are 36 possible outcomes
P(10) = number of outcomes that sum to 10 / total number of outcomes
=3/36
= 1/12
c) identical numbers There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
d product a multiple of 10 ( 5,2) (5,4) (5,6) (2,5) (4,5) (6,5) are the only ones with a product multiple of 10
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
i need help on this asap
Answer: optiond solve the values to get the answer
Best of luck for the test
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
NEED HELP
Step-by-step explanation:
I DON'T KNOW?
Express the following rate as a unit rate:
Biking 16 miles in 2 hours
Answer:
8 miles in 1 hour is the answer
Answer:
[tex]\frac{8 mi}{1 hr}[/tex] (8 mi 1 hr)
Step-by-step explanation:
Biking 16 miles in 2 hours is [tex]\frac{8 mi}{1 hr}[/tex]
The data set shows the admission prices at several amusement parks. $25, $24, $12, $25, $19, $27. Find the mean absolute deviation of the admission prices
Answer:
4.33333333
you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)
Please help me in this
Answer:
3
Step-by-step explanation:
as u add 2 + 1 from the 6 and 7 hours
Pls help!! ASAP!!!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
Figure ABCD is similar to figure A′B′C′D′.
Figure ABCD is bigger than figure A′B′C′D′.
The measure of angle D is equal to the measure of angle A′.
The measure of angle D is equal to the measure of angle B′.
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
-8
Step-by-step explanation:
¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x
3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4
3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4
3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4
3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2
(3x - 8x + 6x + 4x)/16 = - 5/2
5x/16 = - 5/2
5x * 2 = -5 * 16
10x = - 80
x = -80/10 = -8
4y+3x =25 is the tangent to the circle x^2+ y^2 = 25 at the point P(3,4). The equation of the radius of the circle that passes through P is
PLEASE SHOW SOLUTION!
Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the tangent at P is right
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y + 3x = 25 into this form
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute P(3, 4) into the partial equation
4 = 4 + c ⇒ c = 4 - 4 = 0
y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
4x - 3y = 0 ← equation of radius in standard form
Two particles, A and B, are initially 37.5 m apart. A is projected in a straight line directly towards B with initial speed 2 ms^–1 and accelerates uniformly at 0.6 ms^–2. At the instant when A is released, B is projected in a straight line directly towards A with an initial speed of 3 ms^–1 and it accelerates uniformly at 0.4 ms^–2. The particles collide at point C. Find the distance from A's starting point to C. (Please explain how you get the answer, I don't understand how to get to it!!!! Thanks!)
Answer: 6.66 metres
Step-by-step explanation:
Given that the two particles, A and B, are initially 37.5 m apart.
Acceleration a = velocity/time
Make time t the subject of the formula.
Time t = velocity/acceleration
Time taken by particle A will be
Time t = 2/0.6 = 3.33 seconds
Let's use 2nd equation of motion
S = Ut + 1/2at^2
Distance covered by particle A will be achieved By substitute the values for speed and acceleration into the formula
S = 2 × 3.33 + 1/2 × 0.6 × 3.33^2
S = 6.66 + 0.3 × 11.1
S = 9.99 m
Time taken by particle B will be
Time t = 3/0.4 = 7.5 seconds
Distance covered by particle B will be by using the same formula
S = 3 × 7.5 + 1/2 × 0.4 × 7.5^2
S = 22.5 + 0.2 × 56.25
S = 33.75 metres
Adding the distance covered by particle A
Distance = speed × time
Distance = 2 × 3.33 = 6.66
the distance from A's starting point to C. Is 6.66 metres
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
What is the Y-INTERCEPT from the equation? y=5x + 12*
A) 5
B) 12
Answer:
B-12
Step-by-step explanation:
Answer:
B) 12
Step-by-step explanation:
Set x equal to zero and you get y= 12
A three digit number is divided by another three digit number gives 3.724. What are the two numbers?
Answer: the numbers are 250 and 931
Step-by-step explanation:
We have two numbers of 3 digits, A and B such that:
A/B = 3.724
A = 3.724*B
now we can divide the 3.724 in two parts
3.724 = 3 + 0.724
A = (3 + 0.724)*B = 3*B + 0.724*B
So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:
0.724*B is an integer.
for example, we can start at B = 1000, and then we will start to reduce the value of B
0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.
0.724*500 = 362.
Again, we have an even number, so we can take B = 250 and the result will be also an integer number.
0.724*250 = 181.
Ok, stop here, we can suppose B = 250, then we have:
A = 3.074*B = 3.724*250 = 931
Then the numbers are 250 and 931
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
£14,168
Step-by-step explanation:
On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0
Answer:
Domain of the given function is all real numbers i.e. R.
Step-by-step explanation:
It is given that the given graph is a V shaped graph.
It is crossing x - axis at [tex](-2,0)[/tex]
then y-axis at [tex](0,-2)[/tex] and
then again x - axis at [tex](2,0)[/tex].
If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at [tex](-2,0)[/tex], then intersects y axis at [tex](0,-2)[/tex] and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at [tex](2,0)[/tex].
Please find attached graph for the same.
This graph denotes the following function:
[tex]y=f(x)=|x|-2[/tex]
Domain of a function [tex]y =f(x)[/tex] is the values of [tex]x[/tex] that can be provided to the function.
Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.
Modulus function has R as its domain.
So, the answer is:
Domain of given function is all Real Numbers, R
Answer:
A on edg. all real numbers
Step-by-step explanation:
What is the graph of a quadratic equation known as?
Answer:
The graph of a quadratic function is a U-shaped curve called a parabola.
Step-by-step explanation:
please can you guy help for this questiong
Answer:
Reason 1. Given
Statement 2. <CAD is congruent to <BAD
Reason 2. Definition of angle bisector
Statement 3. Segment AD is congruent to segment AD
Reason 4. All right angles are congruent
Reason 5. ASA
Find the surface area of the composite solid. PLZ HELP
Step-by-step explanation:
Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.
I attached a picture of some of the missing values. That should help a little with visualizing.
Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.
The three triangles at the top are all the same as well, so you can multiply their areas ([tex]\frac{1}{2} bh[/tex] ) by 3, too.
Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.
Now you can make your surface area equation:
[tex]SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2[/tex]
The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.
[tex]SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5[/tex]
If there's anything you need me to explain further, feel free to comment :)
Answer:
[tex]SA=613.5m^2[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{613.5 \ m^2 }}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.
Surface area of the triangular prism:
10 × 8.7 × 1/2 + 16 × 10 × 3
⇒ 523.5
Surface area of the triangular pyramid:
6 × 10 × 1/2 × 3
⇒ 90
Adding the surface areas:
523.5 + 90
⇒ 613.5
[tex]\rule[225]{225}{2}[/tex]
What is the price called at which the quantity demanded is equal to the
quantity supplied?
Hola
Done
Clear
Ali
Reflect the shape B in the line y=x
please just state ALL the coordinates of the reflected shape
Answer:
See below.
Step-by-step explanation:
A reflection in y = x transforms point according to (x, y) ---> (y, x(, so:
(-1, 1) ----> ( 1, -1).
(-3, 3) ----> (3, -3).
(-1, 4)---> (4, -1)
(-3, 4)-----> ( 4, -3).
please help for the brainliest answer
Answer:
Step-by-step explanation:
9n-2
thats the first part
I need help solving this!
Answer:
miles hybrid car went = 9.80 gal × 54.1 miles/gal
= 530.18 miles
132km × 0.621 = 81.972 miles
530.18 miles = 9.80 gal
1 mile = 9.80/530.18
= 0.018 gal
81.972 miles = 0.018 × 81.972
= 1.515 gal
1.515 gal × 3.785 = 5.734 litres
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
If a line segment AB is on the number line, and the point A is at - 4 and point B is at 7, the length of AB is ____. Select one: a. - 3 b. 11 c. 3 d. 10
The length of the segment AB is 11
How to determine the length of the segment?The given parameters are:
A = -4
B = 7
The length of the segment is calculated as:
AB = |A - B|
Substitute known values
AB = |-4 - 7|
Evaluate the difference
AB = |-11|
Take the absolute difference of 11
AB = 11
Hence, the length of the segment AB is 11
Read more about line segment at:
https://brainly.com/question/2437195
#SPJ9
Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)
Answer:
d
Step-by-step explanation:
The rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Translation is a way of moving an object from one location to another on the xy- plane
Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)
If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:
L'(1, 8) = (x, y) - L(7, -3)
(X, Y) = L'(1, 8) + L(7, -3)
(X, Y) = (1+7, 8+3))
(X, Y) = (-6, 11)
Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Learn more here: https://brainly.com/question/1046778
Angle measure and segment lengths: Find "Y" and do not round your answer. Please answer in under five minutes, thanks!
Answer:
y = 11.2 in.
Step-by-step explanation:
To solve this question we will use the theorem of intersecting secants and tangents.
"If a secant and a tangent are drawn to a circle from an external point then length of tangent is the geometric mean between the length of external segment of the secant and the length of the secant."
By this theorem,
5(5 + y) = (9)²
y + 5 = [tex]\frac{81}{5}[/tex]
y = 16.2 - 5
y = 11.2 in
Therefore, y = 11.2 in. will be the answer.
Answer:
11.2
Step-by-step explanation:
i got it right online
