Given m<12= 121 and m<6= 75, find the measure of each missing angle.
Answer/Step-by-step explanation:
Given:
m<12 = 121°
m<6 = 75°
a. m<1 = m<6 (vertical angles)
m<1 = 75° (substitution)
b. m<12 = m<1 + m2 (alternate exterior angles)
121° = 75° + m<2 (substitution)
121° - 75° = m<2 (subtraction property of equality)
46° = m<2
m<2 = 46°
c. m<1 + m<2 + m<3 = 180° (angles on a straight line)
75° + 46° + m<3 = 180° (substitution)
121° + m<3 = 180°
m<3 = 180° - 121° (subtraction property of equality)
m<3 = 59°
d. m<4 = m<3 (vertical angles)
m<4 = 59° (substitution)
e. m<5 + m<4 + m<6 = 180° (angles on a straight line)
m<5 + 59° + 75° = 180° (substitution)
m<5 + 134° = 180°
m<5 = 180° - 134° (Subtraction property of equality)
m<5 = 46°
f. m<7 = m<12 (vertical angles)
m<7 = 121° (substitution)
g. m<8 = m<4 (vertical angles)
m<8 = 59° (substitution)
h. m<9 = m<6 (Alternate Interior Angles)
m<9 = 75° (substitution)
i. m<10 + m<9 = 180° (Linear Pair)
m<10 + 75° = 180° (substitution)
m<10 = 180° - 75° (Subtraction property of equality)
m<10 = 105°
j. m<11 = m<8 (vertical angles)
m<11 = 59° (substitution)
k. m<13 = m<10 (vertical angles)
m<13 = 105° (substitution)
l. m<14 = m<9 (vertical angles)
m<14 = 75° (substitution)
LOTS OF POINTS!!! HELP WITH 7 ANd EXPLAIN!!
Answer:
w=4
Step-by-step explanation:
The surface area of a prism is SA= 2lw+2lh+2hw
We are trying to find out the width if the SA is 240 square inches, length is 12 inches, and the height is 5 inches. Let's plug these numbers into the equation.
240=(2*12*w)+(2*12*5)+(2*5*w)
24w+120+10w
240= 34w+120
-120 -120
120= 34w
120/34 = 34w/34
w is approximately equal to 3.5 which can be rounded to 4
w=4
Hope this is right! It was confusing at first but I understood it!
Guys someone please help with this if you're good at math
What is the image of (3,-6) after a dilation by a scale factor of 4 centered at the origin?
Answer:
7,-10
Step-by-step explanation:
what are the steps to solve n/7-5=-3
Answer:
n = 14
Step-by-step explanation:
n/7 - 5 = -3
n/7 = 2
n = 14
a)
Isaac is purchasing two pairs of shoes-one pair for $37.00 and the second
pair for $42.00. The state sales tax applied to Isaac's bill is 7%. How much is Isaac's
total bill? Show your work. (2 points)
The answer is 84.53
Add both pair of shoes together. Then take that total and multiply by7% or.07
Henry is following the recipe to make a cake. He has 95 cups of flour. How many cakes can Henry make
Answer
31
Step-by-step explanation:
3 cups in a cake you have 95
95÷3=31 hole cups
What is this number written in scientific notation: 0.0000453
Answer:
4.53 x 10^-5
Step-by-step explanation:
The blade of a windmill turns 60 times in 2 minutes. How many times does the blade turn in 15 minutes
Answer:
450
Step-by-step explanation:
60 divided by 2= 30
it spins 30times per minute
30 times 15= 450
Town M is 282 feet below sea level. Town R is 679 feet above sea level. How much higher, in feet, is Town R than Town M?
Answer:
397 feet
Step-by-step explanation:
All you have to do is subtract the feet of Town R from Town M. The equation would look like this.
679 - 282 =397
So Town R is 397 feet higher than Town M.
Hope that helps and have a great day!
what is 5 and one half minus three and one third?
Answer:
1 2/3
Step-by-step explanation:
5 1/2 = 11/2 x 3 = 33/6
3 1/3 = 10/3 x 2 = 20/6
30 - 20 = 10/6 = 1 4/6 = 1 2/3
Answer: 2 1/6
Step-by-step explanation:
5 1/2 - 3 1/3
=
5 3/6 - 3 2/6
=
5 - 3 = 2
3/6 - 2/6 = 1/6
= 2 1/6
It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?
Answer:
Step-by-step explanation:
We are given that 30% of California residents have adequate earthquake supplies.
a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance
B) x can take value 1 ,2 ,3 ......
C)The distribution of random variable is geometric distribution with parameter p=0.3
The pmf of geometric distribution is
[tex]P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...[/tex]
D)P(X=1) or P(X=2)=P(X=1)+P(X=2)
P(X=1) or P(X=2)=[tex]0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51[/tex]
E)
[tex]P(X \geq 3)=1-P(X<3)\\P(X \geq 3)=1-(P(X=1)+P(X=2))\\P(X \geq 3)=1-0.51\\P(X \geq 3)=0.49[/tex]
F)
[tex]E(X)=\frac{1}{p}[/tex]
p is the resident who does not have adequate earthquake supplies.
p = 1-0.3 = 0.7
[tex]E(X)=\frac{1}{0.7}=1.42[/tex]
G)[tex]E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33[/tex]
Help me pls I am struggling In everything
Answer:
The answers are A, B, C, F
3(2a+5b)+5(a-2b)
Who can tell me the answer for this one please
Answer:
11a + 5b
Step-by-step explanation:
3(2a + 5b) + 5(a-2b)
First, distribute 3 to 2a and 5b, and distribute 5 to a and -2b
6a + 15b + 5a - 10b
Combine like terms
11a + 5b
Have a good day, be safe
I hope that this helps
What are the real and imaginary parts of the complex number?
−7+8i
Enter your answers in the boxes.
Answer: The real part is -7, the imaginary part is 8i
Step-by-step explanation:
Answer: The Real Part: -7
The imaginary Part: 8i
Step-by-step explanation:
1. Represent the following system with a matrix
-2x + 4y + z = 0
-X + 3y = 0
5x + y + 9z = 8
2. What linear system of equations does this matrix represent?
6 -1 112
-1 10
3. What is the solution of this system of equations? Use your calculator.
3a + 2b - C = 7
2a - C = 5
A-4b+c=.4
4. You manage a health food store and budget $80 to buy ingredients to make 30 pounds
of trail mix. Peanuts cost $2.50 per pound, raisins cost $2.00 per pound, and granola
costs $4.00 per pound. If you use twice as many pounds of peanuts as raisins, how
many pounds of each ingredient should you buy? Show as much work as necessary.
You will not get any credit for just writing answers.
Answer:why is it show glitchy
Step-by-step explanation:
Can anyone help me? Worth 10 points!!!
Answer:
33
Step-by-step explanation:
Fabric for 1 pillow case: 1.5 ÷ 3 = 0.5Amount of pillow cases made with 16.5 yards of fabric: 16.5 ÷ 0.5 = 33I hope this helps!
Answer:
33 pillowcases
Step-by-step explanation:
16.5 yard of fabric/ 1.5 yards of fabric = 11 yards of fabric
Multiply 11 (yards of fabric) by 3 (# of pillowcases) to get the number of pillowcases you can make with 16.5 yards of fabric.
11 * 3 = 3 pillowcases
A staircase has an angle of elevation of 28 degrees and covers a total distance of 17 feet. To the nearest foot, what is the vertical height h covered by the staircase?
Answer:
..
Step-by-step explanation:
what is the approximate volume of the cone? use 3.14 for p? help immediately
Answer:
V=157
Step-by-step explanation:
Formula-
V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]
1.) Place height and radius in the formula.
V=π[tex]5^{2}[/tex][tex]\frac{6}{3}[/tex]
2.) Now all you have to do is simplify.
V=3.14 x 25 x 2
3.) Now solve.
V=157.07963
Answer:
I say 157 cubic centimeters
Step-by-step explanation:
a car decelerated from zero 40 mph to 0 mph what is the deceleration of thecar?
Answer:
40
Step-by-step explanation:
Deceleration means how much did it go down? It makes sense that 40 is correct! Let me know if I'm wrong.
Brayden just lit a new candle and then let it burn all the way down to nothing. The
candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches.
Write an equation for L, in terms of t, representing the length of the candle
remaining unburned, in inches, t hours after the candle was lit.
Answer:
L = -0.75t + 6
Step-by-step explanation:
L = length (this is what equation you are looking to solve for
-0.75t because the candle burns at 0.75 in per hour so the value decreases, hence the (-)
+6 because the candle has a positive value of 6 inches to begin with
The standard form of what you are writing is called slope intercept form y = mx + b, learn it because it is very important for future math.
The equation of the candle remaining unburned at any given time is L(t) = 6 - 0.75t.
What is a function ?A function is a set of values of the dependent variable for specified independent variable.
According to the given question Brayden just lit a new candle and then let it burn all the way down to nothing.
The candle burned at a rate of 0.75 inches per hour and its initial length was 6 inches we have to write an equation for L in terms of t where t represents time in hours and L(t) represents length of the candle remain unburned.
∴ L(t) = 6 - 0.75t.
At t = 0 the length of the unburned candle L(t) will be 6 inches and at t = 8 L(t) will be 0,So the candle can burn for 8 hours.
learn more about function here :
https://brainly.com/question/12431044
#SPJ2
Which expression uses the associative property to make it
easier to evaluate 6(1/3•7/5)
O A. (6.1/3)7/5
O B. (6•5/7)1/3
O C. 6(7/5•1/3)
OD 3(1/6•7/5)
Answer:
A
Step-by-step explanation:
Here, we want to select which of the expressions correctly use the associative property
The associative property deals with rearrangement
So for (a + b) + c
we can have (a + c) + b
In the case of this question, the associate property is the one that makes the evaluation easier
Thus;
we need to bring 1/3 and 6 together since 3 is a factor of 6
We have;
(6•1/3)7/5
The GCF of two whole numbers is the ________.
Please Dont Skip Over My Question, Please Help Me. ;(
Let f(x) = –7x + 9. Suppose you add 2 to the input of f to create a new function g, then multiply the output of function g by –3 to create function h. What are the slope and y-intercept of the graph of function h?
slope =
y-intercept =
Answer: slope = 21, y-int = 15
Step-by-step explanation:
f(x) = -7x + 9
g(x) = -7(x + 2) + 9 = -7x - 5
h(x) = -3(-7x - 5) = 21x + 15
slope = 21
y-intercept = 15
hope this helps (not sure if my answer is correct)
-6x+15=33 what is the first best step in solving for x?
Answer:
x= -3
Step-by-step explanation:
1) subtract 15 on both sides
should look like: -6x=18
2) divide the -6 on both sides
3) 18 divided by -6 is -3
I RLLY NEED HELP BC THIS WAS DUE ALREADY!!! Answer ASAP thank you!
Answer:
10,560 yards
Step-by-step explanation:
5280 plus 5280 equals 10,560
in the isosceles trapezoid below x = ?
is an ice cube melting into water a chemical change?
Answer:
No
Step-by-step explanation:
When an Ice Cube melts into water it is a physical change not a chemical change because no chemicals were used.
Hope this Helps!!! :)
Let me know if I should change anything or if it was helpful in the comments!!!
Find the slope of the line through (6, -7) and (4, -8)
Answer:
1/2
Step-by-step explanation:
Y2-y1
________
X2-x1
-7 - (-8) = 1
6-4=2
Slope is 1/2
The slope of the line through (6, -7) and (4, -8)
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
Given;
Two points; (6, -7) and (4, -8)
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m=(-8-(-7))/(4-6)
m=(-1)/-2
m=1/2
Therefore, the slope between the two given points will be1/2
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
Select the equation that is the inverse of the given function.
x
- 3
f(x) =
5
o
o
o
f-1(x) = 5x + 15
f-1(x) = 5x +3
f-1(x) = 3x - 5
-1(x) = x
wun
DONE
Answer: f-1(x) = 5x+3
Step-by-step explanation: just did the assignments