Answers
Answer:100
Step-by-step explanation:
The question confuses you since there is no extra variable to help you which is you have to create it yourself.
Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:
[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].
Also since the inside sum of angles in a traingle is equal to 180°, this can be written as
[tex]180 = (x-40) +(x-30)+y[/tex]
if we replace y with the equation we get
[tex]180=(x-40)+(x-30) + (-x+150)[/tex]
which can be simplified to
[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80
If we rearrange to solve for x, we get:
[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]
We can verify this by putting the value of x in both equation:
[tex]y = -100+150 = 50[/tex] angle at k
[tex]100-40=60[/tex] angle at j
[tex]100-30=70[/tex] angle at l
[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°
Related Questions
what is -7/9 x -2/3 in simplest form
Answers
Answer:
heres my fake account and name
Step-by-step explanation:
simplify 7^2 • 7^6 =
Answers
Explanation: just add the exponent if you are multiplying two things with the same base
a local factory has to add a liquid ingredient to make there product at a rate of 13 quarts every 5 minutes. how many gallons per hour of the ingredient do they need to add
Answers
Per hour, they would need to add 147 quarts of the liquid ingredient. When converting to gallons, every 4 quarts is one gallon, so we need to divide 147 by 4.
36.75 Gallons Per Hour
They need to add 39 gallons of ingredients to make the production they desire.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 4 quarts are one gallon.
∴ They would be making (13/4) = 3.35 gallons every 5 minutes Or (3.25/5) = 0.65 gallons per minute.
∴ In an hour or 60 minutes, they would be making (0.65×6) = 39 gallons per hour.
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Lindsay borrowed ₱120,000 in a bank for a year. If she paid ₱139,290.54 on the maturity date, at what rate of interest, compounded monthly, did she pay?
Answers
She paid the loan at a 15% rate of interest.
Given that Lindsay borrowed $ 120,000 in a bank for a year, if she paid $ 139,290.54 on the maturity date, to determine at what rate of interest, compounded monthly, did she pay, the following calculation must be performed:
120,000 x (1 + X / 12) ^ 12 = 139,290.54 (1 + X / 12) ^ 12 = 139,290.54 / 120,000 1 + X / 12 = 12√1.1607545 X / 12 = 1,012 - 1 X = 15
Therefore, she paid the loan at a 15% rate of interest.
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PLEASE ANSWER!!!!!!!!!! I'LL GIVE BRAIN !!!!!!!!!!!!!!!!!!!!!! A _______ is a ratio that compares two things with different units of measurement.
rate
coordinate
cross
unit
Answers
Answer:
RATE
Step-by-step explanation:
Answer:
A. Rate
Step-by-step explanation:
A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.
Hope this helps.
If EC $2.50 is equivalent to US $1.00, then EC $20.00 in Us dollars is
Answers
Answer:
22.54$
Step-by-step explanation:
There is a calculator for this
Answer:
EC$20.00 is equivalent to $7.40 US dollars
Step-by-step explanation:
need assistance with algebra 2
Answers
Answer:
A. Quadratic, degree 2
Step-by-step explanation:
The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.
Ahem please some help please
[tex]4 \div 0.5[/tex]
Answers
Find the value of x and then identify the measure of each of the angles.
Answers
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Answers
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)
Which of these four sets of side lengths will form a right triangle?
Answers
Find the slope of the line that passes through (-39, -32) and (-40, 41). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer: The answer is that the slope is 9.
What is the equation for the line in slope-intercept form?
Answers
Answer:y=4x+4
Step-by-step explanation:
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answers
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
309 g to 299 g increase or decrease
Answers
Im pretty sure It would be a decrease
5 more than 3
meaning what number ?
Answers
Answer:
8
Step-by-step explanation:
5+3=8
3 plus 5 more makes 8
Explanation:
5+3=8
And the other way around
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations
What is the length of side a?
Thank u
Answers
a^2 + b^2 = c^2
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
c = 13
Her Packet.pdf + 127% 7. Approximately 4% of the population has blonde hair, and 10% of the population has blue eyes. If 75% of people with blonde hair have blue eyes, what percent of the population has blue eyes without blonde hair? Show your work.
Answers
Using proportions, it is found that 7% of the population has blue eyes without blonde hair.
10% of the population has blue eyes. These 10% are composed by:
75% of 4%(have blonde hair).x% of 96%(do not have blonde hair)Hence, the relation according to the proportion of 10% is:
[tex]0.75(0.04) + 0.96x = 0.1[/tex]
[tex]x = \frac{0.1 - 0.75(0.04)}{0.96}[/tex]
[tex]x = 0.0729[/tex]
Out of the entire population:
0.0729(0.96) = 0.07
7% of the population has blue eyes without blonde hair.
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3x+1
can you solve it
Answers
Answer:
donwload the gautmaht this is very powerful calculatorHELLPPP
I need help asappp
Answers
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
100 pts. & will give brainliest! answer asap
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
Answers
First we need to differentiate y
[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]
[tex]\\ \sf\Rrightarrow -32x-110[/tex]
Now let it be 0
[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]
[tex]\\ \sf\Rrightarrow -32x=110[/tex]
[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]
[tex]\\ \sf\Rrightarrow x=3.44s[/tex]
Put it in y
[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]
[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]
need answer quickly plzxzz
Answers
Answer:
Scalene Right
Step-by-step explanation:
Has a right angle and all sides are of different lengths
estimate the area of the following irregular shapes
will give brainliest
Answers
Answer: You need to count how many squares are shaded(at least half of it), therefore the area is 32 square units.
14.06 as a mixed number
Answers
Your welcome
14 3/50
Good luck with the rest... I highly reccomend using Math way (spell it together)
I really need help it’s due soon!!! I will be asking more questions soon
Answers
Step-by-step explanation:
Yards of red material = 1.75
Yards of blue material = 1.75 x 1.2 = 2.1 yards
So the blue material is 2.1 yards
how many solutions does the following system of equations have: 3x−2y=−7 4y=9−6x
Answers
this equation is error because of -7and 4y two this is not have + or - that's why
mr John wants to put a fence around his farm. if the length of one side is 25m and the width is the same length what would be the amount of fencing needed?
Answers
Answer:
100 meters
Step-by-step explanation:
4 sides
1 side = 25 m
25m = width as well
so just multiply 25 by 4 to get your answer
Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.
25m x 4 = 100m
So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.
Ms. Green and Mr. White took their science classes to the museum. Ms. Green spent $262 to
buy 28 student tickets and 4 adult tickets for her class. Mr. White spent $191 for 22 student
tickets and 2 adult tickets for his class.
Answers
The price of student's ticket will be $7.5 while on the other hand, the price of adult's ticket will be $13.
Based on the information given, the equations to solve the question will be:
28s + 4a = 262 ....... i
22s + 2a = 191 ....... ii
Multiply equation i by 2
Multiply equation ii by 4
56s + 8a = 524
88s + 8a = 764
Subtract the equations above
32s = 240
s = 240/32 = 7.5
Student's tickets = $7.5
Adult's ticket will be:
22s + 2a = 191 .
22(7.5) + 2a = 191
165 + 2a = 191
2a = 191 - 165
2a = 26
a = 26/2 = 13
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Rewrite using a single positive exponent..-
7^2
——
7^-4
Answers
Answer:
7 ^2 ⋅ 7 ^4 = 49^6
Step-by-step explanation:
7² / 7 ⁻⁴
= 7²⁻⁽⁻⁴⁾
= 7 ⁽²⁺⁴⁾
= 7⁶
= 117649
Remember :-
xᵃ / xᵇ = xᵃ⁻ᵇ
___
Hope it helps ⚜
⁽