The measure of each angle and their reasoning are explained for all in the explanation below.
We are given that;
m∠8=23°
a). From the given image, we see that;
m∠1 and m∠8 are supplementary angles and as such they sum up to 180°;
Thus; m∠1 + m∠8 = 180°
m∠1 = 180° - m∠8
m∠1 = 180 - 23
m∠1 = 157°
b). We see that m∠1 and m∠2 are angles that form a straight line.
Sum of angles on a straight line equals 180°. Thus;
m∠1 + m∠2 = 180°
m∠2 = 180 - 157
m∠2 = 23°
c). We see that m∠3 and m∠1 are vertically opposite angles and they must be equal. Thus
m∠3 = m∠1
Thus; m∠3 = 153°
d). We see that m∠4 and m∠2 are vertically opposite angles and they must be equal. Thus
m∠4 = m∠2
Thus; m∠4 = 23°
e). We see that m∠5 and m∠1 are corresponding angles and are therefore equal. Thus;
m∠5 = m∠1
m∠5 = 157°
f). We see that m∠6 and m∠8 are vertically opposite angles and as such;
m∠6 = m∠8
Thus, m∠6 = 23°
g). We see that m∠7 and m∠5 are vertically opposite angles and are therefore equal. Thus;
m∠5 = m∠7
m∠5 = 157°
Solve for y when x = 5.
y = 3x + 4
Answer:
19
Step-by-step explanation:
Plug in
y = 3(5) + 4y = 19A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?
The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.
What is the probability of determining that exactly four students were born on a weekday?To determine the probability, we need to first find the probability of having a student being born on a weekday.
[tex]=\mathbf{\dfrac{5}{7}}[/tex]
The probability of having 4 students born on a weekday is:
[tex]=\mathbf{(\dfrac{5}{7})^4}[/tex]
Since we have 4 students, we also need to find the probability of the students that are not being born, which is:
[tex]=\mathbf{(\dfrac{2}{7})^3}[/tex]
Also, there are [tex](^7_4)[/tex] = 35 ways to get four students out of seven students.
Therefore, we have the probability as:
[tex]\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}[/tex]
P = 0.2125
Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.
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Find the height of a cylinder with a volumeof 475pie cubic meteresand radius 5 meters
The height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have a volume of the cylinder:
V = 475π cubic meter
The radius r = 5 meters
475π = π(5)²h
h = 19 meters
Thus, the height of the cylinder is 19 meters if the volume of 475pie cubic meters and the radius is 5 meters.
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Q1 write in words following the international and pakistani number system
A) 312695
B) 5469724
C) 4003240
Answer:
Step-by-step explanation:
a) International: Three hundred twelve thousand six hundred ninety five
Pakistani: Three lakh twelve thousand six hundred ninety five
b) International: Five Million four hundred sixty nine seven hundred twenty four
Pakistani: Fifty Four crore sixty nine thousand seven hundred twenty four
c) International: Four Million three thousand two hundred forty
Pakistani: Fourty Lakh three thousand two hundred forty
Hope it Helps! Mark its as brainiest
solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10
Answer:
x = 3, y = -1.
Step-by-step explanation:
4x + 5y = 7
y = 3x - 10
Substitute for y = 3x - 10 in the first equation:
4x + 5(3x - 10) = 7
4x + 15x - 50 = 7
19x = 7 + 50 = 57
x = 57/19 = 3.
Now plug x = 3 in the second equation
y = 3(3) - 10
y = 9 -10
y = -1.
How to simplify the ratio of 40cm : 2m
PLEASE HELP USING ALL MY POINTS FOR THIS!!! WILLMARK BRAINLIST
A basketball team allows people to buy either a ticket (T), or an signed autograph ticket (S). If two customers buy one ticket each, what is the sample space for this? Select all the choices that are included in the sample space.
SSS
TTT
TST
TT
ST
TS
TSS
T
SST
STS
S
TTS
STT
SS
An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.
What is a sample space?An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.
For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.
Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.
Hence, the sample space for the given situation is {TT, TS, ST, SS}.
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Subtract 59.05 from 70.00
Answer:
-10.95 hope it helps so yeah and if it's wrong sorry
Answer:
10.95
Step-by-step explanation:
When solving a problem like this you can just take the decimals then add then back at the end for example. ...
7,000
-
5,905
_______
1,095
Then, add the decimal back in its original spot to give you 10.95
Hope this helps!
PICKING BRANILIEST HELP WITH 1
Answer:
1. x=37
2. x= 50
Step-by-step explanation:
Add up the two angles you already have, 43+100 and then subtract from 180.
180-143= 37
Do the same thing for number 2.
Add up 99+31, which is 130
The subtract from 180
180-130=50
The equation for triangles is x + (the angle measures) = 180
Hope this helps <3
7(7-2 × 3) = ?
What is the answer?
A. 24
B. 7
C. 14
D. 26
Answer:
b) 7 option B 7 is the answer
Step-by-step explanation:
bidmas rule:
7-2×3
2×3= 6
7-6=1
7×1= 7
therefore the answer is 7.
Answer: The answer is [tex]B. 7[/tex]
Step-by-step explanation:
[tex]7(7-2[/tex] × [tex]3)[/tex]
Simplify the expression.
[tex]7-2= 5[/tex]
[tex]7[/tex] × [tex]3[/tex] = [tex]21[/tex]
[tex]21[/tex] ÷ [tex]3=7[/tex]
please answer lol i need some help
what is 24 x 24x 25 x 710.
Answer:
24 x 24 x 25 x 710 = 10,224,000
Step-by-step explanation:
24 x 24 = 576
576 x 25 = 14, 400
14,400 x 710 = 10,224,000
lo que da en total= 10,224,000
Answer:
10224000 i used a calculator
Step-by-step explanation:
plis help me!!!!!!!!!!!!!! it is very difficult for me
Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2Yea solve equation by factoring
7x² - 39x + 17 = -3
Answer:
x = 4/7, 5
Please mark Brainliest :)
Answer:
x = 4/7 or x = 5
Step-by-step explanation:
Step 1: Add to 3 to both sides
[tex]7x^2-39x+17+3=-3+3[/tex] [tex]7x^2-39x+20=0[/tex]Step 2: Factor by grouping
This equation is in the form ax² + bx + c = 0. Since there are no terms that multiply to 20 and add to -39, we have to find terms that multiply to a (7) * (20) and add to -39.
Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140-35 x -4 = 120, and -35 - 4 = -39. Thus, the two terms are -35 and -4.Now, we split -39x into -35x and -4.
7x^2 - 35x - 4x + 20.(7x² - 35x) + (-4x + 20)Next, we factor each expression in the parentheses. After that, we put the terms outside the parentheses together. Reminder, the terms inside the parentheses should be the same.
[tex]7x(x-5)-4(x-5)[/tex] [tex](7x-4)(x-5) = 0[/tex]Step 3: Solve for x using 7x - 4 = 0 and x - 5 = 0.
[tex]7x-4=0[/tex] [tex]7x-4+4=0+4[/tex] [tex]7x=4[/tex] [tex]7x/7 = 4/7[/tex] [tex]x= 4/7[/tex]or
[tex]x-5=0[/tex] [tex]x-5+5=0+5[/tex] [tex]x=5[/tex]A pen was attached to a table by a small 10-inch chain. Jason lifted the pen, pulled the chain as far as it would reach, and then drew a circle as shown below.
The circumference of the circle that Jason drew is gotten as; 62.80 inches
How to find the circumference of a circle?Since Jason lifted the pen and pulled the chain as far as it would reach before drawing a circle, then it means that;
radius of circle; r = 10 inches
Formula for circumference is;
C = 2πr
Thus;
C = 2 * 3.14 * 10
C = 62.80 inches
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What is the circumference of this circle, in millimeters? use startfraction 22 over 7 endfraction for pi. a circle with radius 49 millimeters. 154 308 484 968
The circumference of the circle with a radius of 49mm is 308mm
How to find the circumference of a circle?The circumference of the circle is also known as its perimeter. The formula is expressed as:
C = 2pi r
r is the radius = 49mm
pi = 22/7
Substitute
C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm
Hence the circumference of the circle with a radius of 49mm is 308mm
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Answer:
B
Step-by-step explanation:
Please help me solve for X
Answer:
[tex]\boxed{\sf x = 11.57}[/tex]
Step-by-step explanation:
[tex] \sf {x}^{2} = {3.6}^{2} + {11}^{2} [/tex]
Calculate 3.6 to the power of 2 to get 12.96, and 11 to the power of 2 which will give you 121.
[tex] \sf {x}^{2} = 12.96 + 121[/tex]
Add 12.96 and 121.
[tex]\sf {x}^{2} = 133.96[/tex]
Now, we'll take the square root of both sides of the equation.
[tex] \sf \sqrt{ {x}^{2} } = \sqrt{133.96} [/tex]
[tex]\sf x = 11.57[/tex]
Give the final answers in scientific notation
Answer:
I'm assuming you want me to do 18-23? Okay:
Step-by-step explanation:
18) 8.6(10^−4)+6.7(10^−5)
=0.000927 --> 9.27 × 10^-4
19) 3.5(10^3)−9(10^1)
=3410 --> 3.41 × 10^3
20) 5.6(10^4)(4.5(10^6))
=252000000000 --> 2.52 × 10^11
21) 7.6(10^−7)(8.9(10^−2))
=0 --> 0
22) 3.9(10^−12)/4(10^4)
=0 --> 0
23) 1.75(10^5)/5(10^−3)
=35000000 --> 3.5 × 10^7
-
Please comment below if you would like me to solve #24 :)
The bolded numbers are the answer, the underlined numbers are to show the question number. Hope this helped !!
1. Emilio earns $150 per week plus 38% commission. He sells $2 000.00 in one week. What are his gross weekly earnings?
Answer:
more than what i have
Step-by-step explanation:
A quantity h varies directly with w and inversely with p. when w = 4 and p = 6, h = 2. what is the constant of variation? one-twelfth four-thirds 3 12
The value of the constant of variation is 3. The correct option is the third option- 3
VariationFrom the question, we are to determine the constant of variation.
Let the constant of variation be k
From the give information,
A quantity h varies directly with w and inversely with p
That is,
[tex]h \propto \frac{w}{p}[/tex]
Introducing the constant of variation, k, we get
[tex]h = k\frac{w}{p}[/tex]
Also, from the give information,
w = 4
p = 6
h = 2
Putting the parameters into the relation, we get
[tex]2 = k \times \frac{4}{6}[/tex]
[tex]6\times 2 = 4k[/tex]
[tex]k = \frac{6\times 2}{4}[/tex]
k = 3
Hence, the value of the constant of variation is 3. The correct option is the third option- 3
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Answer:
Answer is 3
Step-by-step explanation:
~Hope this helps!
Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so
Answer:
Review your state Standards.
Notes
Khan on your topic or grade level
Dealta Math
Math Nation
Mrs. gellar works at a diner. at the end of
her shift, she was putting away pies in the
display case. there were 5 pies, and of 3/8
each pie left. what fraction of the pies did
mrs. gellar put away?
Which two expressions are equivalent?
O z
7 (6+z)
7.6+7.2
O
3 (9+y)
3.9+ y
O
t +(4.5)
(t + 4).5
X + 12 : 4
(4+12) = x
Answer:
First option
Step-by-step explanation:
The result of first expression:
7(6+z) multiply 7 with inside the parenthesis
7(6+z) = 42 + 7z
the result of second expression:
since we need to do multiplying first,
7*6 = 42 and 7*z = 7z
then we add them
42 + 7z this is the same result we found for the first equation
100 PTS AND WILL GIVE BRAINLY!!!
THE SCENARIO
The Tortoise and the Hare finally have their long awaited rematch. The Tortoise gets a
300 m lead and runs at 0.2 m/s. The Hare begins at the starting line and runs at a rate of 2 m/s. There is also a rat in this race. The Rat starts 350 m ahead of the Hare and runs back towards the starting line at a rate of 0.6 m/s.
THE CALCULATIONS
Create a table of values for each runner in the race. The domain for the race will be 0 ≤ t ≤ 200 seconds. You can decide on 5 time intervals for your table.
Answer:
Tortoise:
Hare:
Rat:
All will be shown later
Step-by-step explanation:
Equation for Torotise: f(x)=0.2(x)+300
Equation for the Hare: f(x)=2(x)
I hope it helps! I will show you screenshots in the comments
A watch which looses a half a minute every hour was set to read the correct time at 0445hr on Monday. Determine in twelve hour system the time the watch will show on Friday at 1845hr the same week.
Answer:
see below
Step-by-step explanation:
Using a 24 HOUR SYSTEM
The total time from Monday to Friday times given
= 24 x 4 + (18:45 - 4:45) = 96 + 14 = 110 hours
110 hours * 30/3600 = .91667 hours lost = 55 minutes lost
watch will show 18:45 - 55 minute = 17:50 ( 5:50 in 12-hour system)
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
0.09
.............................
HELP IM STUCK ON THIS
Answer: Let's just say that each of the units are 1 inch in sides, and since it's an irregular shape you have to separate each shape. So, the rectangle I separated is 14 inches.
The semicircle is 12.56.
Adding those two answers together comes out to 26.56.
1.5. a + b + c + d + e is this expression a monomial/ binomial/ trinomial/ polynomial
Answer:
polynomial
Step-by-step explanation:
because poly=more than 1
mono=1
bi= 2
tri=3
could someone PLEASE help me with this slope activity? any help would be appreciated, ive been stuck on it for days. this is 10th grade geometry, whoever helps i will gladly give you 5 stars, im just rlly stuck on this
Answer:
Slope = (y₁-y₂) / (x₁- x₂)JMy₂ = -3
x₁ = 2
x₂ = 2
Slope = ( 1 + 3) / 0 = undefined
JK
y₁ = 1
y₂ = 4
x₁ = 2
x₂ = 5
Slope = ( 1-4) / (2-5) = 1
KL
y₁ = 4
y₂ = 1
x₁ = 5
x₂ = 7
Slope = (4-1) / ( 5-7 ) = -1.5
MLy₁ = -3
y₂ = 1
x₁ = 2
x₂ = 7
slope = (-3-1) / ( 2-7) = 4/5
Tierra is making steps for a doll houseshe has cut a piece of wood that measures 1.5 centimeters wide and 30 centimeters longeach step will measure 15 millimeters by 4 millimetersshe will make 21 steps for her doll housewhich are the dimensions of the wood that remains after tierra finishes making the 21 steps?
The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
How to determine the remaining dimensions?The given parameters are:
Wood = 1.5 cm by 30 cm
Each cut = .15 mm by 4 mm
Steps = 21
The remaining dimension is calculated as:
Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm
Express mm as cm
Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm
Evaluate the difference
Remaining = 1.185 cm by 21.6 cm
Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm
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