Answers
Answer:
x = 4
Step-by-step explanation:
The smaller triangle is an equilateral triangle, so all sides and angles are the same. We know that one side is labeled as 5, so all sides of that little triangle are 5.
The bigger triangle is an isosceles triangle because those two angles are marked as congruent. So, line JM and line KM are congruent as well.
The little triangle and the big triangle share side KM, so KM is equal to 5.
If JM is equal to KM and KM is equal to 5, JM is also five. That means:
x + 1 = 5
Subtract 1 from each side.
x = 4
And there we go.
Related Questions
express each x in terms of y:
1. 2x - 3 = y
2. 2 + 2x -1 = 4y
3. 2A + 4x + 3B = 10
Answers
Answer:
1/2y+3/2
2y+-1/2
-3/2b-2x+5
Step-by-step explanation:
Solve for r.
7(r + 1) = 20.3
Answers
Answer:
r = 1.9
Step-by-step explanation:
7r + 7 = 20.3
- 7 - 7
7r = 13.3
divide by 7
r = 1.9
Answer:
r = 1.9
Step-by-step explanation:
7(r + 1) = 20.3
Multiply the parenthesis by 7:
7r + 7 = 20.3
Subtract 7 from each side:
7r = 13.3
Divide 13.3 by 7 to find r:
r = 1.9
Midterm Part 1
A high school principal has to choose an academic
team of four people. She decided to choose them from
an AP Statistics class of 19 people.
How many ways can the principal form a team?
A) 5,232 B) 3,876 C) 4,253 D) 8,121 E) 7,821
Answers
Answer:
Step-by-step explanation: ok
Please help me with this question
Answers
Answer:
1/9
Step-by-step explanation:
6 feet = 6*12 = 72
Scale factor = 8/ 72 = 1/9
Answer:
1/9
Step-by-step explanation:
6ft = 72 inches
8/72 = 1/9
If you apply the changes below to the absolute value parent function, f(x) = |x|
what is the equation of the new function?
• Shift 8 units left,
• Shift 3 units down,
O A. g(x) =|x- 8|- 3
B. g(x) = |x - 3|- 8
OC. gx) =|x-3|+ 8
D. g(x) = |x+ 8|-3
Answers
Answer:
its d because inside the abs value thing ur gonn take that +8 and do the opposite of what it says so negative 8 to the left then ur just gonna go down negative 3
Write the first five terms of the arithmetic sequence. First term: -10 and common difference: 2
Answers
Answer:
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
Step-by-step explanation:
Explanation
Given that the first term is -10 and common difference d = 2
we know that the sequence in A.P
a ,a+d ,a+2d,a+3d ,a+4d........... are in AP
-10, -10+2, -10+2(2), -10+3(2) , -10+4(2)..................
-10 , -8 , -6 , -4 ,-2 ..........
Final answer:-
The first five terms of the arithmetic sequence.
-10 , -8 , -6 , -4 ,-2 ..........
HELP PLEASE LOTS OF POINTS!!
Answers
Answer:
Thus, f and g are inverse functions
Step-by-step explanation:
Inverse Functions
If two functions f(x) and g(x) are inverses, then it follows that:
[tex]f\circ g(x)=x[/tex]
Or:
[tex]g\circ f(x)=x[/tex]
We are given
[tex]\displaystyle f(x)=\frac{1}{4}x-6[/tex]
[tex]g(x)=4x+24[/tex]
Let's test if they are inverse functions:
[tex]f\circ g(x)=\frac{1}{4}(4x+24)-6[/tex]
Simplifying:
[tex]f\circ g(x)=x+6-6=x[/tex]
Now find:
[tex]\displaystyle g\circ f(x)=4\left(\frac{1}{4}x-6\right)+24[/tex]
Operating:
[tex]\displaystyle g\circ f(x)=x-24+24=x[/tex]
Thus, f and g are inverse functions
Round 503.782 to the nearest tenth.
Answers
Answer:
503.8
Step-by-step explanation:
Since in the hundredth place you have a number higher than 5, we want to round the tenth digit up by one to get 503.8.
Answer:
503.8
Step-by-step explanation:
Triangle RST is translated 6 units to the left and 4 units up to create triangle R’S’T’
Which rule best describes this transformation?
A) (x,y) —> (6x, -4y)
B) (x,y) —> (-6x, 4y)
C) (x,y) —> (x + 6, y - 4)
D) (x,y) —> (x - 6, y + 4)
Answers
Answer:
B (x,y) —> (-6x,4y)
Step-by-step explanation:
6 is moving left which is negative
4 is moving up which is positive
To stay healthy kevins doctor said he should try to consume at most 2000 calories a day write an inequality to show the amount of calories Kevin should consume
Answers
Answer:
C ≤ 2,000 calories
Step-by-step explanation:
Here, we want to write an inequality
Let the number of amount of calories to be consumed be C
The term at most means that it cannot pass 2,000
Hence, it must be lesser than this
So the inequality will be;
C ≤ 2,000 calories
Suppose your friend's parents invest $ 10,000 in an account paying 7% compounded annually. What will the balance be after 8 years?
Answers
- this is a simple interest question, so you should know the formula for this.
simple interest: i = prt
i - interest
p - principle amount (deposit)
r - rate
t - time in years
the problem: -- this is a two step question, since its asking for the balance.
i = prt
i = 10,000(0.07)(8)
i = 5600
- remember this is just the interest, NOT the balance.
to find the balance:
5600 + 10000 = 15600
FINAL ANSWER:
$15,600
-- let me know if you have any questions regarding this.
Please help ASAP. this isn't a quiz
Answers
Answer:
people fall in love in a serois way.
Step-by-step explanation:
2512=3.14(r2)(8)
What is the diameter???
Help please!!!!!!
Answers
Answer:
r = 10 or -10
Step-by-step explanation:
graph this please it’s been due
Answers
Answer:
Step-by-step explanation:
Here, we want to graph the given line
To do this, we need the x and y intercept
The general equation form
is ;
y = mx + b
where m is slope and b is the y-intercept
from the question, b is -2
The point at b is (0,-2)
To get the x-intercept, equate y to 0
0 = 3x - 2
3x = 2
x = 2/3
So the x-intercept is (2/3,0)
So to graph the line, we have to join the points;
(0,-2) and (2/3,0) with a straight line
Please check attachment for this
Find the volume. Round to nearest hundredth
Answers
Answer:
2pir^2 + 2pirh
2(pi)(3.2)^2+2pi(3.2)(8)
=225.19
=225.2
Find the measure of angle 1.
Answers
9514 1404 393
Answer:
(a) 84°
Step-by-step explanation:
If the upper side of angle 1 is extended so that it crosses the lower parallel, the angle it makes there corresponds to the one marked 51°, so is also 51°. That makes angle 1 the exterior angle of a triangle with remote interior angles of 51° and 33°. Angle 1 is the sum of those angles:
∠1 = 51° +33° = 84°
_____
Alternate solution
Draw a line through the vertex of angle 1 parallel to the other two parallel lines. The lower half of angle 1 is then an alternate interior angle to the one marked 33°, so is 33°. The upper half of angle 1 is a corresponding angle to the one marked 51°, so is 51°. That makes angle 1 be the sum of 33° and 51° angles, so 84°.
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
Answers
The area of the triangle will be 5/8 square feet.
What is triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Area: ½ × base × heightPerimeter: sum of side lengths of the triangleNumber of vertices: 3Number of edges: 3Internal angle: 60° (for equilateral)Sum of interior angles: 180°Right angle: 90 degreesGiven is a triangle as shown in the image.
Now, the area of triangle will can be written as -
[A] = 1/2 x [b] x [h]
[A] = 1/2 x 5/3 x 3/4
[A] = 1/2 x 5/4
[A] = 5/8 square feet
Therefore, the area of the triangle will be 5/8 square feet.
To solve more questions on angles and triangles, visit the link below -
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Solve the system by substitution.
y=X - 8
y = 2x – 14.
Answers
Hey there!
The answer to your question is (6, -2)
To solve for substitution, we simply make the right side of the equations equal to each other:
[tex]x-8=2x-14[/tex]
Add [tex]14[/tex] to both sides:
[tex]x + 6 = 2x[/tex]
Subtract [tex]x[/tex] from both sides
[tex]6=x[/tex]
Now, we have to solve for [tex]y[/tex], and we can do so by plugging in the value of [tex]x[/tex] in to one of the equations:
[tex]y = 6 - 8[/tex]
[tex]y = -2[/tex]
Therefore, your solution is (6, -2)
Have a terrificly amazing day!
A 24 foot long bleacher stand has a
base angle of 30°. How high above the ground
is the last row of seating?
Answers
Explanation:
a = h
24ft = za
24= za
12 = a
Simplify xz^3 x 4x^4z^5
Answers
Answer:
4x⁵z⁸
Step-by-step explanation:
xz³ₓ4x⁴z⁵ =
= 4x¹⁺⁴z³⁺⁵
= 4x⁵z⁸
How much honey does a beekeeper take from the hive
Answers
On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.
Answers
Answer:
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
Step-by-step explanation:
Given that:
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
t = number of hours
A = 35 - 4t Eqn 1
B = 50 - 7t Eqn 2
At same height,
Eqn 1 = Eqn 2
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
Dividing both sides by 3
[tex]\frac{3t}{3}=\frac{15}{3}\\t=5[/tex]
Putting t=5 in both equations
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
Hence,
A = 35 - 4t
B = 50 - 7t
Height = 15 inches
The equation should be
A = 35 - 4t
B = 50 - 7t
And, the Height = 15 inches
Calculation of the equation and height;
Since
Height of snowman A = 35 inches
Height of snowman B = 50 inches
Height decrease of snowman A = 4 inches per hour
Height decrease of snowman B = 7 inches per hour
Here, t = number of hours
So, the equation should be
A = 35 - 4t
B = 50 - 7t
Now for the same height
35 - 4t = 50 - 7t
-4t + 7t = 50 - 35
3t = 15
t = 15
So,
A = 35 - 4(5) = 35 - 20 = 15 inches
B = 50 - 7(5) = 50 - 35 = 15 inches
learn more about height here: https://brainly.com/question/17231109
WILL MAKE AS A BRAINILIST
A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies.A coin is chosen at random,not replaced, then another is chosen. Find each probability.
Answers
Need help with this please answer :( I’m not good at math at all
5x + 4y = -7
-5x - 2y = 1
Answers
Answer:
y=-3
x=1
(1,-3)
Step-by-step explanation:
5x+4y=-7
-5x-2y=1
Cancel +5x - 5
2y=-6
y=-3
5x-12=-7 or -5x+6=1
5x=5 -5x=-5
x=1 x=1
Answer:
y = -3, x = 1
or
(1, -3)
Step-by-step explanation:
5x + 4y = -7
-5x - 2y = 1
add the two equations together
0x + 2y = -6
2y = -6
2y/2 = -6/2
y = -6/2
y = -3
now substitute y = -3 into either of the equations
5x + 4y = -7
5x + 4(-3) = -7
5x - 12 = -7
5x = -7 + 12
5x = 5
x = 1
Carol is mixing pink paint. The ratio of red to white paint is 2:1. If carol uses 6 part red paint. How much white paint does she need?
Answers
Answer:
3
Step-by-step explanation:
Because the ratio is 2:1, you would divide the number of red parts by 2.
Answer:
She will need 3 parts white paint
Step-by-step explanation:
Lets make a proportion:
2 : 1
6 : x
We know that 2 = 6 in this problem are the same values, red paint
6/2 = 3 3 IS THE CONSTANT OF PROPORITIONALITY
Now, 1 x 3 = 3
1 = 3 in this problem are the same values, white paint
SHE NEEDS 3 PARTS WHITE PAINT
find the x- and y- intercepts of the following polynomial functions:
2. P(x) = x⁴ - 2x² + 1
3. P(x) = x (x- 1/2) (x + 4) (x - 1)
4. P(x) = x3 - 2x² - 4x + 8
5. P(x) = (x + 2) (x + 5) (x - 3) (x - 4)
Answers
Answer:
2. x-intercepts:(1,0),(-1,0) y-intercept:(0,1)
3.x-intercepts:(0,0),(1/2,0),(-4,0),(1,0) y-intercept:(0,0)
4.x-intercepts:(2,0),(-2,0) y-intercept:(0,8)
5.x-intercepts:(-2,0),(-5,0),(3,0),(4,0) y-intercept:(0,120)
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
plssss helpppp
Answers
Answer:
5/10
Step-by-step explanation:
if you add all the non- chocolate chip cookies than you have 10 other cookies.
since there are 5 chocolate chip cookies than the probability would be
5/10 or 1/2
The probability of picking a chocolate chip cookie is 1/3.
Given that, a box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here,
Total number of outcomes =15
Number of favorable outcomes = 5
Probability of an event = 5/15
= 1/3
Therefore, the probability of picking a chocolate chip cookie is 1/3.
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Divide 7.65 / 0.35 please help
Answers
Four fifths of the children in a school are boys. Five eighths of the girls in the school are right-handed. What fraction of the children in the school are left-handed girls?
Answers
Answer:
See below
Step-by-step explanation:
Let x rep right handed
Then,
5/8× x
= 5x/8
Since 4/5 are boys
1 - 4/5
1/4
Then,
5x/8 = 1/4
20x = 8
x = 8/20
x = 2/5
Therefore, the fraction of the girls in the school that are left handed is 2/5
A jar contains 15 red marbles, 10 green marbles, and 11 blue marbles. What is the probability that a marble chosen at random from the jar will NOT be green?
Answers
Answer:
Quantity A is greater.
Step-by-step explanation:
Note that there are 16 total marbles. A is simply a set of sequential events. On the first, you have 10/16 chances to draw a red. Supposing this red is not replaced, the chance of drawing a second red will be 9/15; therefore, the probability of A is (10/16) * (9/15) = 0.375. Event B is translated into 2 events: Blue + (White or Red) or (White or Red) + Blue. The probabilities of each of these events, added together would be (2/16) * (14/15) + (14/16) * (2/15) = 0.2333333333; therefore, A is more probable.
