Anyone with the answers to unit 1 Geometry basics homework 5 angle relationships
Answer:
Step-by-step explanation:
1) x + 65 = 90
x = 90 -65
x = 25
2) x + 51 = 180 {Linear Pair}
x = 180 - 51
x = 129
3) y = 107 {Vertically opposite angles are equal}
x + 107 = 180 {linear pair}
x = 180 - 107
x = 73
z = x {Vertically opposite angles are equal}
z = 73
4) If sum of two angles is 180,, then they are called supplementary.
one angle = 13
It's supplement = 180 - 13
= 167
5) If sum of two angles is 90, then they are called complementary.
one angle = 38
It's complement = 90 - 38
= 52
6) ∠1 + ∠2 = 180
5x + 9 + 3x +11 = 180 {Combine like terms}
8x + 20 = 180
8x = 180 -20
8x = 160
x= 160/8
x = 20
∠1 = 5x + 9
= 5*20 +9
= 100+9
= 109
∠2 = 3x +11
= 3*20 +11
= 60 +11
= 71
7) Vertically opposite angles are equal
∠2 = ∠2 1
20x - 14 = 17x + 1
20x - 17x -14 = 1
3x - 14 = 1
3x =1 +14
3x = 15
x = 15/3
x = 5
∠2 = 20x - 14
= 20*5 - 14
= 100 - 14
= 86
8) ∠K + ∠L = 90
3x +3 + 10x - 4 = 90 {Combine like terms}
13x -1 = 90
13x = 90 + 1
x = 91/13
x = 7
∠K = 3x + 3
= 3*7 + 3
= 21 +3
= 24
∠L = 10x - 4
= 10*7 -4
= 70 - 4
= 66
how many sixteenths are there in 7/8
Answer:
14/16
Step-by-step explanation:
If you multiply 8 by 2 you get 16 so multiply 7 by 2 and you get 14/16
f(x)=4x+2
g(x)=x^2-1
Find (f+g)(-4)
(4x+2+x^2-1)(-4)=(x^2+4x+1)(-4)=(-4)^2+4(-4)+1
=16-16+1
=1
Write the following as an inequality.
9 is greater than x, and 2 is less than or equal to x
Use x only once in your inequality.
SOMEBODY HELP PLEASE!!!
15 POINTS PLEASE HELP! It is known that 3 is less than y is less then 7. Find the possible values of the expression:
a) 8y
b)14-2y
Answer:
[tex]a) 8y = 32.\\b)14-2y = 6.[/tex]
[tex]the \: right \: expression \: for \\ 3 \: is \: less \: than \: y \: is \: less \: than \: 7 \: is \\ 3 < y < 7. \\ then \\ y \: can \: be \: any \: value \: form \: (4 \: to \: 6). \\ so \: if \: y = 4. \\ then \\ 8y = 8 \times 4= 32. \\ and \\ 14 - 2y = 14 - 2 \times 4 = 6.[/tex]
The maximum and minimum value of the expressions are -
1 - 8y Max [1] = 48 Min [1] = 32
2 - 14 - 2y Max [2] = 6 Min [2] = 2
What is inequality?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is that 3 is less than y is less then 7.
We can write the inequality -
3 < y < 7
Expression 1 : 8y
Maximum value of the expression = Max [1] = 48
Minimum value of the expression = Min [1] = 32
Expression 1 : 14 - 2y
Maximum value of the expression = Max [2] = 14 - 2 x 4 = 14 - 8 = 6
Minimum value of the expression = Min [2] = 14 - 2 x 6 = 14 - 12 = 2
Therefore, the maximum and minimum value of the expressions are -
1 - 8y Max [1] = 48 Min [1] = 32
2 - 14 - 2y Max [2] = 6 Min [2] = 2
To solve more questions on Evaluating experience, visit the link below-
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Jake's solution to the equation −4(2x−3)=36 is shown below.
Answer:
x=-3
Step-by-step explanation:
I hope this help.
how to do this question plz
Answer:
a) root77
b) 2 root77 / ~17.55 cm^2
Step-by-step explanation:
a) by using Pythagorean Theroem,
a^2 + b^2 = c^2
2^2 + b^2 = 9^2
4 + b^2 = 81
81 - 4 = b^2
77 = b^2
root77 = b
b) 1/2bh is the quation for area thus,
area = 1/2 ( 4 ) ( root77)
area = 2 root77
or area = ~17.55 cm^2
h = [tex]\sqrt{77}[/tex]
A =[tex]2\sqrt{77}[/tex]
Step-by-step explanation:Rules for solving this problem:
Isosceles triangle rules
∠C = ∠ABC = BABecause of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that
(1/2 x AC)² = BC² - h² (1/2 x AC)² = BA² - h²Area of a triangle
A = 1/2 (Base x Height) = 1/2 * bhStep 1 - Find the height
[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]
Step 2 - Find the area
[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]
Hope this helps,
- J.M.Jamon
Pennsylvania State University
Full-time B.S.CE. undergrad student
Write an equation in point slope form that passes through (-14, - 6) and the
slope is 2/3
Answer:
y=2/3x - 6
Step-by-step explanation:
use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!
If an object is projected upward from ground level with an initial velocity of 48ft per sec, then its height in feet after t seconds is given by s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum height? The object will take __ second(s) to reach its maximum height. (Simplify your answer.) The maximum height reached by the object is __ feet. (Simplify your answer.)
Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.
3х + Зу = 15
-2х + Зу = -5
Answer?
Answer:
(x,y)= (4,1)
Step-by-step explanation:
Model the following situation with an equation or inequality statement.
The difference of six and a number is greater than nine.
6 - x > 9
hope this helps! :):):):)
Your friend really wants to buy the newest cell phone which will cost him $750. He gets a job detailing cars and SUVs and plans to save all the money he earns. If he gets paid $55 to detail a car and $70 to detail an SUV, what linear inequality can be used to determine how many of each he must detail in order to earn at least $750?
A: 55c+70x [tex]\leq[/tex] 750
B: 55c+70x > 750
C: 55c+70x [tex]\geq[/tex] 750
D: 55c+70x < 750
Answer:
C, 55c + 70x ≥ 750
Step-by-step explanation:
He needs a minimum of $750.
The equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that,
Number of cars = c
Number of SUVs = x
Amount paid for detailed car = $55
Amount paid for detailed SUV = $70
Cost of coolest cellphone = $750
The inequality for the given data will be written as below,
(Amount paid for detailed car × Number of cars) + (Amount paid for detailed SUV × Number of SUV) ≤ Cost of coolest cellphone
55c + 70x ≤ 750
Therefore, the equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.
Learn more about inequality:
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Peter attempted to use the divide-center method to find the line of best fit on a scatterplot.
What was his mistake?
He had a different number of points to the left of the vertical line than to the right of the vertical line.
He had a different number of points above the line of best fit than below the line of best fit.
Answer:
He had a different number of points above the line of best fit than below the line of best fit.
Step-by-step explanation:
This is the best likely answer to the question about Peter's attempt to use divide-center method to find the line of best fit on a scatterplot.
Answer:
a: He had a different number of points to the left of the vertical line than to the right of the vertical line.
Step-by-step explanation:
edg2021
Convert 3 2/3 as a decimal?? Helppp
Answer: 3.66666667
Step-by-step explanation:
The slope of the line passing through the points (3,1) and (-2,4) is
Answer:
the slope is -3/5
Step-by-step explanation:
did it help
answer the question >:D
Answer:
15 is the diameter and 7.5 is the radius
Step-by-step explanation:
The radius is the half of the diameter hehe boi
does anyone know the answer? i’m taking a benchmark and i have 30 minutes left
need help asap ! thanks
pleas solve this for me
y=x^2-x
Answer:
there i tried :)
Step-by-step explanation:
please help hiw do you do this ??
Is 0.00014476 bigger than 0.0003354?
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
The greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away.
This is for law of sines
It says solve each triangle so what parts am I solving? Do I solve all parts or if there’s 2 angles and 1 side, I look for the other angle?
Step-by-step explanation:
Solving a triangle means finding all unknown sides and angles.
For example, in #9, the third angle is 180° − 81° − 59° = 40°.
Using law of sines, the other two sides are:
a / sin 59° = 15 / sin 40°
a = 20.0
b / sin 81° = 15 / sin 40°
b = 23.0
based on her recipe, Elena knows that 5 servings of granola has 1750 calories.
Answer:
700 calories
Step-by-step explanation:
1750 ÷ 5 = 350350 × 2 = 700I hope this helps!
x(1+y)=z, for x
[tex]x(1 + y) = z for x[/tex]
NEED HELP ASAP I AM BEING TIMED
Use the conversion factor method shown below to help answer the question.
How many seconds are in one day?
There is (BLANK)
seconds in a day.
Answer:
86400
Step-by-step explanation:
A convenience store requires that Ayumi spend $4 or more if she wants to pay using a debit card. Donuts cost $0.80 each. A
bottle of orange Juice costs $1.20. Ayumi payed for 1 orange juice and d number of donuts. Write the equation that represent
the situation.
Answer
1.20+0.80d ≥ 4.00 is the equation. If you are trying to solve for the minimum of donuts she needs to buy so it is over $4.00, then it is 4
Step-by-step explanation:
So in the problem we know she already has bought one bottle of orange juice and needs to buy a certain amount of donuts but we know they are each 0.80 so that will become 0.80d. The 1.20 + 0.80d have to be greater than or equal to 4.00 so she can pay with the debit card and that is why we put the ≥ symbol.
Answer:
.80 × 4 =$3.20
orange juice is $1.20
d =.80×4 +1.20
d=$4.40
Z=3x+3 solve for x.
Z=2+3r solve for x.
Answer:
1. X= 1/3 z -1
2. X= 1/3z + -2/3
Step-by-step explanation:
z=3x+3
Step 1: Flip the equation.
3x+3=z
Step 2: Add -3 to both sides.
3x+3+−3=z+−3
3x=z−3
Step 3: Divide both sides by 3.
3x/3 = z-3/3
Step 1: Flip the equation.
3r+2=z
Step 2: Add -2 to both sides.
3r+2+−2=z+−2
3r=z−2
Step 3: Divide both sides by 3.
3r/ 3 = z-2/3
Please help I don't know how to do this if you answer this please explain.
Which choice best represents the height an airplane flies?
A)10 cm
B)10m
C)10mm
D)10km
Answer:
I think 10 km.
Please mark as brainliest.
Answer: 10 kilometers
10 kilometers is about 38,500 feet. This is the average altitude an average commercial plane should fly. The answer to this question is D, 10 kilometers.
Hope this helps!
Write the fraction 16/40 in simplest form. If the fraction is in simplest form
To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .
= 16/40
= 16 ÷ 4 / 40 ÷ 4
= 4/10
= 4 ÷ 2 / 10 ÷ 2
= 2/5
Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .
Therefore , the fraction 16/40 = 2/5