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°.
True or False? The following is an example of a proportion:
The temperature is 43 degrees at 8 A.M. and 65 degrees at 11 A.M.
True
False
Answer:
Step-by-step explanation:
What is the volume of a triangular prism 5m 13m 6m
Answer: 195
Step-by-step explanation: 5*13*6=390
390/2=195
Answer:
195
Step-by-step explanation:
Helllp please someone
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
Answer:
-920
Explanation:
To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:
-447 - 473
- (447 + 473)
-920
Therefore, the new dot was on -920.
Help asap PLEASE, dhdbhehf
Answer:
3
Step-by-step explanation:
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: 2 and 3
The graphs below have the same shape. What is the equation of the red
graph?
Answer:
A
Step-by-step explanation:
Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!
Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?
Answer:
Equation:
21 = 1 + m
Solution:
20 = m
Step-by-step explanation:
What we know:
Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfastWe know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:
21 =
What does 21 equal?
The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.
21 = milk at breakfast + milk after breakfast
Let's substitute what we know into this equation:
21 = milk at breakfast + milk after breakfast
21 = 1 + m
Now that we have our equation, let's solve.
21 = 1 + m
-1 -1
20 = m
Therefore, Karim drank 20 cups of milk after breakfast.
What is Two-thirds divided by one-sixth? An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds. 2 3 4 6
Two thirds divided by one sixth is 4
Answer:
It is number four
Step-by-step explanation:
What option is the same as 1/5^-3? A. -1/125 B. -1/15 C. 15 D. 125
Answer:
D. 125
Step-by-step explanation:
Given
[tex](\frac{1}{5})^{-3}[/tex]
Required
Find Equivalent
From law of indices
[tex](\frac{1}{a})^{-x} = \frac{1}{(\frac{1}{a})^{x}}[/tex]
So,
[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})^{3}}[/tex]
Expand denominator
[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{5})*(\frac{1}{5})*(\frac{1}{5})}}[/tex]
[tex](\frac{1}{5})^{-3} = \frac{1}{(\frac{1}{125})}}[/tex]
Split expression on the right and side
[tex](\frac{1}{5})^{-3} = 1/{(\frac{1}{125})}}[/tex]
Convert divide (/) to multiplication (*)
[tex](\frac{1}{5})^{-3} = 1*{(\frac{125}{1})}}[/tex]
[tex](\frac{1}{5})^{-3} = 1*125[/tex]
[tex](\frac{1}{5})^{-3} = 125[/tex]
Hence, [tex](\frac{1}{5})^{-3}[/tex] is equivalent to 125
question in attachment
Answer:
[tex]a_{1}=6[/tex]
Step-by-step explanation:
It is sum of arithmetic progression
[tex]$S_{20}=\frac{20}{2} [2a_{1}+(20-1)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+(19)\cdot 4]$[/tex]
[tex]$880=10[2a_{1}+76]$[/tex]
[tex]880=20a_{1}+760[/tex]
[tex]120=20a_{1}[/tex]
[tex]a_{1}=6[/tex]
Help!
Janella has her hair styled and wants to tip her stylist 18%. Write an equation that could be used to calculate the tip, y, for a bill total of x dollars.
Answer:
10( 3/4x * 9/500y ) = 10
Step-by-step explanation:
We know 18% can also be found
when we take the x amount 75 x 0.18 = 13.50
We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.
But for x = 750 x 9/500 = 10
We find 13.50 = 10
x= 1.5
18% coincidentally is 13.5 and 13.5 x 1.5 = 18
So we could redesign and use 18 in the equation
An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
Given that, Janella has her hair styled and wants to tip her stylist 18%.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the tip be y and total bill be y.
So, tip y = 18% of total bill x
⇒ y = 18% of x
⇒ y = 18/100 × x
⇒ y = 0.18x
Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Choose the equation for the graph
below.
x+1
x-2
2x-3
a. y =
b.y =
X-4
3-X
c. y =
x+2
d.y=
e. y =
2x+4
x-1
x+4
Answer:
B. y=(2x-3)/(x-4)
Step-by-step explanation:
Find the asymptotes.
Vertical Asymptotes:
x = 4
Horizontal Asymptotes:
y = 2
No Oblique Asymptotes.
The graph.
Is this true or false ?
Short answer yes its true
Two lines are intersecting. What is the value of x?
Answer:
51
Step-by-step explanation:
by linear pair
(2x+4)+(x+23)=180
2x+4+x+23=180
3×+27=180
3x=180-27
x=153/3
×=51
Answer:
Step-by-step explanation:
2x + 4 + x + 23 = 180 {linear pair of angles}
3x + 27 = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51°
The largest colored pencil drawing ever documented is 500 yards long. How many feet is that? Show or explain your reasoning.
Answer:
1500 ft
Step-by-step explanation:
1 yd=3 ft
500 yd*3 ft/yd=1500 ft
Answer:
1500 ft
Step-by-step explanation:
Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:
500 yd 3 ft
----------- * ----------- = 1500 ft
1 1 yd
NEED HELP ASASP WILL GIVE YOU BRAINLIEST
Which of the triangles are right triangles?
3
01
5
8
Answer:
2.
5 x 5 = 25
4 x 4 = 16
25 + 16 = 41
You need to square root but it is already included
Hope this helps
Step-by-step explanation:
A pyramid with base area of 16sq cm and height of 30cm
b*h/3 is the formula to find the volume (or area whichever it is) of a pyramid so it will be 16 times 30 divided by 3 which would get u to 480/3 which would then get u to 160 cm
What percent is equivalent to 1 Over 20
Answer:
5%
Step-by-step explanation:
To find this percent, first divide 1 by 20.
1/20 = 0.05
Now, convert this decimal to a fraction by moving the decimal point 2 places to the right.
0.05 = 5%
Hope this helps! Feel free to ask me any questions :)
Answer:
5%
Step-by-step explanation:
1/20 = 5/100
5/100 equals 5%
Please help! Find x, if x^2=2018·2020+1 and x<0.
Answer:
-2019
Step-by-step explanation:
Well you can calculate it.
2018 * 2020 + 1 = 4076361
Square root is 2019.
Since x is negative, the answer is -2019
An equation is a mathematical assertion that is made up of expressions connected by an equal signal. as an instance, 3x – five = sixteen is an equation. solving this equation, we get the fee of the variable x as x = 7.
What are equations and variables?A variable is used to symbolize something unknown. for instance x, y, z. An expression no longer has an identical signal. as an instance 4 + 10. An equation is made up of 2 expressions and has an identical signal.
Learn more about Equations at https://brainly.com/question/2972832
#SPJ2
is ABC similar to DEF why or why not
Answer:
They are not similar
Step-by-step explanation:
Whenever two shapes are similar, they must have corresponding equal measure angles. Since two of the angles in these triangles are slightly different, they cannot be similar since the side lengths will now have unequal proportions. Hope this helps!
14. What's 17/12 as a mixed number?
O A.15/12
O B.1 127
O C.1/12
O D.712
Answer:
A
Step-by-step explanation:
17/12 = 1 5/12
1×12+5=17
please help, will give brainliest
Answer:
4/7
Step-by-step explanation:
4/7 is squared and then square rooted, changing nothing.
4 (x − 1) − 4 (x + 2.5) = x − 6
Answer:
x = -8
Step-by-step explanation:
4 (x − 1) − 4 (x + 2.5) = x − 6
Distribute
4x -4 -4x -10 = x-6
Combine like terms
-14 = x-6
Add 6 to each side
-14+6 = x-6+6
-8 =x
Answer:
-8 =x
Step-by-step explanation:
4 (x − 1) − 4 (x + 2.5) = x − 6
4x -4 -4x -10 = x-6 (Distribute )
-14 = x-6 (Combine like terms )
-14+6 = x-6+6 (Add 6 to each side)
-8 =x
I hope this helps!
11. Britney wants to bake at most 0 loaves of bread for a bake sale.
She wants to make banana bread that sells for $1.25 each and
nut bread that sells for $1.50 each and make at least $24 in sales.
Write a system of inequalities for the given situation and
the inequalities.
Answer:
Look at the attachment
Please explain how you got your answer( worth 10 points)
What is the difference between the median number of electoral votes per state and the modal number (mode) of electoral votes?
State | Number of Electoral Votes
=================================
California | 55
Florida | 27
Illinois | 21
Kentucky | 8
Missouri | 11
Nevada | 5
North Carolina | 15
Texas | 34
Utah | 5
======================
A. 50
B. 10
C. 16
D. 11
Answer:
B. 10
Step-by-step explanation:
The median is the middle number, so to find it, we must list the numbers from smallest to largest :
5, 5, 8, 11, 15, 21, 27, 34, 55
The median is 15
The mode is what number occurs most often, which is 5.
The difference will be found by subtracting 5 from 15:
15-5=10
Answer:
10
Step-by-step explanation: you have to find the median number and subtract by 5
5,5,8,11,15,21,27,5
also the median is middle number subtract by 5 because it want the difference number of electoral votes per state
15-5=10
Which symbol correctly compared these two fractions
Answer:
>
Step-by-step explanation:
Put the fractions in decimal
0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6
You can also use common denominators
SOMEONE PLEASE HELP ME ASAP PLEASE!!!!
Answer:
132 degrees is the measure of angle ABC.
Step-by-step explanation:
ABD = 180 because it is a straight line.
BCD = 48
ABD - BCD = 180 - 48
180 - 48 = 132
Answer:
ABC =132
Step-by-step explanation:
The two angles form a straight line so they add to 180
ABC + 48 = 180
Subtract 48 from each side
ABC +48-48 = 180-48
ABC =132
Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?
A. 4/100
B. 40/100
C. 44/100
D. 40/10
Answer:
B
Step-by-step explanation:
40/100=4/10
will mark bianleast
What is the distance between the points (–8, –2) and (–7, –2)?
1
6
10
15
Answer:
-The distance:
[tex]d = 1[/tex]
Step-by-step explanation:
-To find the distance between points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex], you the distance formula:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2}}[/tex]
-Use the two given points [tex](-8,-2)[/tex] and [tex](-7,-2)[/tex] for the distance formula:
[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]
-Then, solve the formula:
[tex]d = \sqrt{(-7 + 8)^{2} + (-2 + 2)^{2}}[/tex]
[tex]d = \sqrt{(1)^{2} + (0)^{2}}[/tex]
[tex]d = \sqrt{1 + 0}[/tex]
[tex]d = \sqrt{1}[/tex]
[tex]d = 1[/tex]
So, the answer for the distance would be [tex]d = 1[/tex] .
Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)
Answer:
20
Step-by-step explanation:
If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.
Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:
4x - 23 = 2x + 17
Subtract 2x from both sides and add 23 to both sides:
2x = 23 + 17 = 40
Divide by 2:
x = 40/2 = 20
The answer is thus 20.
~ an aesthetics lover
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.
[tex]4x-23=2x+17[/tex]
[tex]4x-23+23=2x+17+23[/tex]
[tex]4x=2x+40[/tex]
[tex]4x-2x=2x+40-2x[/tex]
[tex]2x=40[/tex]
[tex]\frac{2x}{2}=\frac{40}{2}[/tex]
[tex]x=20[/tex]
