Answer:
6:42 or 1:7 simplified.
Step-by-step explanation:
In right triangle ABC on hypotenuse AB lies points K and M such that AK=AC, BM=BC. Find m∠MCK.
Answer:
The measure of ∠MCK is 45°
Step-by-step explanation:
The parameters given are;
ΔABC with hypotenuse side AB
Let AB = x
BC = y
AC = z
∴ x² = y² + z²
∠BCM = ∠CMB (Base angles of isosceles triangle ΔBMC)
Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)
∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)
Hence, 2 × ∠BCM + ∠CBM = 180°........(1)
Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)
Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK
However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)
∴∠CBM + ∠CAK = 180° - 90° = 90°
Adding equations (1) and (2), we have;
2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°
Which gives;
2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°
Where;
∠CBM + ∠CAK = 90°, we have;
2 × ∠BCM + 2 × ∠ACK + 90° = 360°
∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°
∠BCM + ∠ACK = 270°/2 = 135°
∠BCM = ∠CMB
∴ ∠CMB + ∠ACK = 135°
Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK
Hence, ∠CMK + ∠MCK = 135°
However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)
Which gives;
∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°
∴ m∠MCK = 180° - 135° = 45°.
The measure of ∠MCK, m∠MCK = 45°.
Help please I don’t understand it
Answer:
C
Step-by-step explanation:
The original price p is reduced by 3000 to obtain the new price
Question 4
4.53
60
500
729
8000
Infected individuals can spread the
virus 14 days before they begin to feel
ill. Change the parameters to represent
this information as the number of days
contagious.
Given the new parameters, determine
how many school days it would take for
half of the school of 400 people to
become infected?
Answer:IDK
Step-by-step explanation:
Ummm I don’t think so
HELP!
Find the exact area and circumference of a circle whose diameter is 8 meters.
Show your work!!
Answers:
Area: 50.24m^2
Circumference: 25.12 m
please see the attached picture for full solution
hope it helps
good luck on your assignment
Using the ruler postulate, find the distance between –9 and 2.
Answer:
11 units
Step-by-step explanation:
According to ruler postulate, if there are two points A with coordinate a
and point B with coordinate b, \
then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.
mathematically it can be represented as
AB = |a-b| or |b-a|
_________________________________________
in the given problem points are -9 and 2
thus distance
distance between –9 and 2 = |-9 -2| = |-11| = 11
absolute value of -11 is 11
alternatively, distance can be calculated as
distance between –9 and 2 = |2 -(-9) | = |2 + 9 | = |-11| = 11
Stephanie uses 4 cups of flour to make 10 tortillas. How many cups of flour will she use to make 25 tortillas?
Answer: 10 cups
Step-by-step explanation:
10 tortillas = 4 cups
25 tortilas = 25/10 x 4 = 10 cups
Answer:
10 cups
Step-by-step explanation:
Let's use a ratio:
cups : tortillas
4 : 10
2 : 5
10 : 25
Stephanie needs 10 cups of flour.
what is 5x+ x - 7-8 + 365 solve it plz
Answer:
x = -58.3
Step-by-step explanation:
6x - 15 + 365 - simplifly terms
6x + 350 = set to equal sides
6x = -350
x = -58.3
William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and p pretzels. Which inequality can be used to find the number of pretzels William can buy?
1.25p−0.9≤7.5
1.25p+0.9≤7.5
1.25p+0.9≥7.5
1.25+0.9p≤7.5
Answer:
the answer is B
Step-by-step explanation:
the reason is because 1.25 x the amount of pretzels he wants plus his price of his one drink will be less than or equal to the amount of money he has
Answer:
B
Step-by-step explanation:
Cost of p pretzels = 1.25 * p = $ 1.25p
cost of p pretzels and cost of a soft drink should be less than or equal to $7.50
1.25p + 0.90 ≤ 7.50
What Is the answer to 7+(-4)=
Answer:
it is 3 bwooo thats the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
7 + ( - 4) = 3
If sign of two numbers is different, subtract and the result will take the sign of the bigger number.
Here the bigger number is 7 and the sign of 7 is positive. So result is 3
What is the slope of the line that passes through the points ( 4 , − 2 ) (24,−17)? Write your answer in simplest form.
Answer:
-3/4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (-17- -2)/(24-4)
= (-17+2)/ (24-4)
= -15/20
= -3/4
Answer:
y=-3/4x+1
Step-by-step explanation:
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦. What is the value of x?
Answer:
Central Angle OPQ = Arc OQ = 82°
5x - 3 = 82°
5x = 85°
x = 17 degrees
Step-by-step explanation:
Solve for x.
-3+85-5=-8
A. -2.
B.-1
C.-3/4
D.0
Answer:
-2
Step-by-step explanation:
-3+8x-5=-8
8x = -16
x = -2
Answer:
Undefined
Step-by-step explanation:
-3+8x-5=-8
+8 on both sides
8x = 0
Since you cant divide a number by 0, the answer is undefined
Answer the questions for 9 points and brainliest
What is the median of the data
Answer:
40
Step-by-step explanation:
The median is the line in the middle of the box
40 is the median
the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE
Answer:The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
Estimate 3 3/8 X 10 13/15
Answer:
36.70
Hope this helps!
Answer:
The estimation of this equation is the number 33
Step-by-step explanation:
First Estimate is defined as to roughly calculate or judge the value of a number or a quantity. In this case we are roughly calculating a number or otherwise known as a fraction. So 3 3/8 would be Rounded to the whole number 3 , due to the fact that the 3/8 is less then the 4/8 , and the 10 13/15 would be estimated to 11 , due to the fact that is more than the 7.5/ 15 . So, 3 times 11 would be the estimate of 33.
The line segment AB with endpoints A (–3, 6) and B (9, 12) is dilated with a scale factor 2∕3 about the origin. Find the endpoints of the dilated line segment. answers: A) (4, –2), (6, 8) B) (–2, 4), (6, 8) C) (–2, 4), (8, 6) D) (2, 4), (6, 8)
Answer:
B. The endpoint of the dilated line is (-2,4),(6,8)
Step-by-step explanation:
Given
Line segment AB
Endpoints: A(-3,6) and B(9,12)
Scale Factor: 2/3 about the origin
Required
Find the end points of the dilated line
From the question, we understand that the line segment is dilated about the origin;
The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;
This is shown below;
[tex]For\ A = (-3,6);[/tex]
The new endpoints become
[tex]A' = \frac{2}{3} A[/tex]
[tex]A' = \frac{2}{3} (-3,6)[/tex]
[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]
[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]
[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]
[tex]A' = (-2, 4)[/tex]
[tex]For\ B = (9, 12);[/tex]
The new endpoints become
[tex]B' = \frac{2}{3} B[/tex]
[tex]B' = \frac{2}{3} (9, 12)[/tex]
[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]
[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]
[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]
[tex]B' = (6, 8)[/tex]
Hence, the endpoint of the dilated line is (-2,4),(6,8)
Answer:
3/2
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLY
Answer:
$2.10
Step-by-step explanation:
5 beads + 5 pendants cost $19.50
beads cost $1.80 per necklace
5 beads cost 5 * $1.80 = $9.00
cost of 5 pendants = $19.50 - $9.00 = $10.50
cost of 1 pendant = $10.50/5 = $2.10
Answer:
$2.10
Step-by-step explanation:
For each necklace, the price of the beads totaled up to $1.80. Since there were 5 necklaces, the total price for all of the beads is $9.
5 × 1.80 = 9
The total cost of all materials is $19.50. Since we are trying to find the cost of the pendants, subtract the cost of the beads by the total price.
19.50 - 9 = 10.50
Since you are trying to find the cost of each pendant, divide the costs of all the pendants by 5. You are dividing by five because there is one pendant for on necklace.
10.5/5 = 2.10
The cost of a single pendant is $2.10.
Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale factor of 2 with the origin as the center of dilation. What are the coordinates of the resulting triangle X″Y″Z″? answers: A) X″(–4,8), Y″(–6,8), Z″(–6,16) B) X″(2,–4), Y″(3,–4), Z″(3,–8) C) X″(–2,4), Y″(–3,4), Z″(–3,8) D) X″(4,–8), Y″(6,–8), Z″(6,–16)
Answer:
X'' (-4, 8)
Y'' (-6, 8)
Z'' (-6, 16)
Step-by-step explanation:
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.
X (2, 4) -> (-2, 4) -> (-4, 8)
Y (3, 4) -> (-3, 4) -> (-6, 8)
Z ( 3, 8) -> (-3, 8) -> (-6, 16)
What is the value of 4 x minus 7 when x = 4?
Answer: 9
Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.
To evaluate an expression, we simply plug the value
of the variable into the expression and solve.
So here, since x is equal to 4, we have 4(4) - 7.
4(4) is equal to 16.
So we have 16 - 7 which is equal to 9.
So the value of our expression when x is equal to 4 is 9.
Answer:
9
Step-by-step explanation:
4x - 7 ( x=4)
4 × 4 - 7
16 - 7
9
-4( x^3 + x^2 -3 ) =
Answer:
[tex]-4x^3-4x^2+12[/tex]
Step-by-step explanation:
Simplify:
[tex]-4x^3-4x^2+12[/tex]
will mark bianleast plz asap
What is the mode of the data set?
Line plot titled Books Read with 0 - 3 dots, 1 - 2 dots, 2 - 7 dots, 3- 6 dots, 4 - 4 dots, 5 - 2 dots, 6 - 1 dot.
Six books
Two books
Four books
Three books
Answer:
2 books
Step-by-step explanation:
The mode is the one that is most frequent, and reading 2 books during the summer is the most frequent thing to do in this diagram as it has been performed the most times.
Hope this helps!
treviglaslibrary
Jack is framing the roof of a structure using a triangle and two exterior angles.
Which relationships about the interior and exterior angles are true? Check all that apply.
a° + b° + c° = 180°
x° + a° = 180°
a° = c°
a° + c° = 90°
x° + a° = b° + c°
The answer is A and B
Answer:
a b
Step-by-step explanation:
Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the
water. At the end of his jump, Danny was 2.3 meters below the surface of the water.
The following equation describes this situation
14.2 + (-16,5) = -23
What does -16.5 tell us?
Answer:
AnSwEr Is C
Step-by-step explanation:
in khAN
The value -16.5 tells us the displacement between his current position and his initial position.
What is displacement?Displacement is defined as the minimum distance between two points. It is a vector quantity and needs direction with magnitude.
It is given that
Initial position =14.2 m
Final position=-2.3 m
14.2+(16.5)=-2.3
To understand this, we need to first calculate the displacement between his initial and final position
Displacement = Final pposition - Initial position
Displacement= -2.3-14.2
Displacement =-16.5 m
So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)
To know more about Displacement follow
https://brainly.com/question/248054
Fill in the table below by naming each prism and identifying the number of faces, vertices, and edges for each one of them.
Answer:
Step-by-step explanation:
A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.
The name of the prism given in question according to their arrangement from left to right are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.
Triangular prism is made up of 5 faces, 6 vertices and 9 edges
The trapezoidal prism is made up of 6 faces, 8 vertices and 12 edges
The pentagonal prism is made up of 7 faces, 10 vertices and 15 edges
The hexagonal prism is made up of 8 faces, 12 vertices and 18 edges
Please Help!!! What is the slope of the line in the graph!!! Braniest will be given!!!
Answer:
m= 1/2
Step-by-step explanation:
Not sure if this is right but I hope this helps :)
Answer:
1/4
Step-by-step explanation:
We can see that two points on the line are (0, 4) and (4, 5). Using the slope formula (y₂ - y₁) / (x₂ - x₁) we get (5 - 4) / (4 - 0) = 1/4.
How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
Answer: approximately 10.4 feet
Step-by-step explanation:
help! plz and thx! what is 4:08 - 1:15 = ?:? plz, help WITH AND WITHOUT REGROUPING thx!!!!!!! I will give u the brainiest! plz and thx!
REMEMBER... I WILL GIVE U THE BRAINLIEST!!!!!!!
Answer:
2:53
Step-by-step explanation:
I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.
Recall that 1 hour equals 60 minutes.
in the difference 4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:
4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .
Now the difference can be performed:
3:68 - 1:15 = (3-1):(68-15) = 2:53
Can someone help me out?
Answer:
see explanation
Step-by-step explanation:
15
The x- coordinate of E is the same as the vertex F
The y- coordinate of E is the same as the vertex G
E = (b, c )
The x- coordinate of D is the same as vertex G
The y- coordinate of D is the same as vertex F
D = (a, 0 )
16
The x - axis is an axis of symmetry in the rhombus , thus
D is a reflection of B so D = (0, b )
The y- axis is an axis of symmetry in the rhombus, thus
E is a reflection of C so E = (a, 0 )
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer: y=1/2x-4
Step-by-step explanation:
Since we are given the slope, we can use the slope-intercept form to find the y-intercept.
y=1/2x+b
-3=1/2(2)+b
-3=1+b
b=-4
Now that we know our y-intercept, we can fill in our slope-intercept equation.
y=1/2x-4
Answer:
a
Step-by-step explanation:
