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Lines r and s are perpendicular and intersect at point k ray kt is drawn forming angles 1 and 2 if angle 1 is 4x-12 and angle 2 equals 3x -8 what is angle 1 to nearest 10th
The measure of angle 1 to the nearest tenth is 50.9 degrees
Since the line r and s are perpendicular, hence the sum of the angle m<RKT and m<SKT is 90 degrees.
Given the following parameters
m<RKT = m<1 = 4x - 12
m<SKT = m<2 = 3x - 8
Taking the sum of the angle and equating it to 90degrees, hence;
m<RKT +m<SKT = 90
4x - 12 + 3x - 8 = 90
7x = 90 + 20
7x = 110
x = 110/7
x = 15.71
Get the measure of angle 1
m<1 = 4x - 12
m<1 = 4(15.71) - 12
m<1 = 50.9 degrees
Hence the measure of angle 1 to the nearest tenth is 50.9 degrees
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A warehouse placed 10 equal weight bones on a scale. Total they weighed 6 pounds. Each
box weighed
of a pound
0.98x0.23 what is 0.98 times 0.23?
Answer:
0.2254
Step-by-step explanation:
multiply using long multuplication
Anna adds 2oz of milk to an 18oz cup of coffee that is 10% milk. What is the percentage of the milk in the resulting mixture?
Answer:
19% of milk
lemme know if it helped
Step-by-step explanation:
Hey whats 2+2? i need to know ASAP! IM IN PRESCHOOL-
Answer:
lol Its 4
Step-by-step explanation:
Dont worry you got this
Answer:
=4
Step-by-step explanation:
2 + 2 = 4
1 + 1 = 2
1 + 3= 4
Hope this helps, have a nice day/night! :D
if it helps, please mark as brainliest!
The angle measure of a triangle is shown in the diagram.
what is the value of x?
A. 13
B. 20
C. 5
D. 12
Answer:C.5
Step-by-step explanation:
Which of the following is a solution to the given equation?
y=-3x - 7
A)
(-2,-1)
B)
(-1,-10)
C
(4,-5)
D
(3,-2)
Answer: A
Step-by-step explanation:
By replacing in the given equation:
y=-3x-7
y=-3(-2)-7
y=6-7
y=-1
But for choices B, C and D the given x values don't fit with the images.
If it takes you 2 1/2 hours to assemble one unit, how many units will you complete in 15 hours? (Change 2 1/2 to improper fraction first)
Answer:37.5
Step-by-step explanation:
2 1/2 as an improper fraction is 5/2
If i'm wrong tell me please i hope this helped you
Is the following a reflection,
rotation or translation?
Find the slope given these points:
(4,-4) & (2,0)
Answer:
The slope is -2
Step-by-step explanation:
[tex]m = \frac{0 - ( - 4)}{2 - 4 } \\ m = \frac{4}{ - 2 } \\ m = - 2[/tex]
Answer:
this is correct
Explanationsigns
1 quadrant = (+,+)
2 quadrant = (-,+)
3 quadrant = (-,-)
4 quadrant = (+,-)
Scientific notation question in mathematics please answer
A newly discovered planet has a mass of 4.8743 · 10 22 kilograms. It's estimated that there is water on the surface and that, the water's mass is only 4 · 10 -2 percent of the planet's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Answer:
1.94972 × 10¹⁹ kgStep-by-step explanation:
Mass of the planet:
4.8743 × 10²² kgThe water's mass:
4×10⁺²%Mass of the planet's water:
4.8743 × 10²² * 4×10⁺² / 100 = 19.4972 × 10²²⁺²⁺² = 19.4972 × 10¹⁸ = 1.94972 × 10¹⁹Calculator
Which ordered pair is the solution to the system of equations?
1 -5x - 3y = 12
Y=x-12
0 (0, -4)
0 (-6, 6)
O (1, -11)
O (3,-9)
[tex] \text{Given : Which ordered pair is the solution to the system of equations?} \\ \\ \begin{cases}-5x - 3y = 12 \\ y - x = 12 \end{cases} [/tex]
[tex] \text{Solution : According to the question, here let's take these variables as two} \\ \text{equations then get their value and finally get the answer.} \\ \\ \sf {1}^{st} \: equation : \\ \leadsto \frak{-5x - 3y = 12} \\ \\ \leadsto \frak{-5x = 12 + 3y} \\ \\ \leadsto \frak{x= \frac{12 + 3y}{-5}} \qquad \sf ...eq(1) \\ \\ \sf 2^{nd} \: equation : \\ \leadsto \frak{y = x - 12} \qquad \sf ...eq(2) \\ \\ \underline{ \frak{finding \: x }} : \\ \\ \dashrightarrow \frak{x= \frac{12 + 3y}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3(x - 12)}{-5}} \\ \\ \dashrightarrow \frak{x= \frac{12 + 3x - 36}{-5}} \\ \\ \dashrightarrow \frak{-5x= 12 + 3x - 36} \\ \\ \dashrightarrow \frak{-5x - 3x= - 24} \\ \\ \dashrightarrow \frak{-8x = - 24} \\ \\ \star \quad \underline{ \boxed{ \green{ \frak{x = 3}}}} \\ \\ \underline{ \frak{ getting \: y}} : \\ \\ \dashrightarrow \frak{y = 3 - 12} \\ \\ \star \quad\underline{ \boxed{\blue{ \frak{y = - 9}}}} \\ \\ [/tex]
[tex] \green{ \mathbb{HENCEFORTH, \: THE \: PAIR \: IS \: \pink{\frak{ (3,-9)}}}}[/tex]
Explain how you can multiply to find equivalent fractions
Answer:
One example for an equivalent fraction would be 2/5 = 4/10
Step-by-step explanation:
It is equivalent because in both the denominator and the numerator you multiply by 2 which means that if you would divide 4/10 by 2 top and bottom, you would get 2/5. If you were to but these fractions on a number line; one on top of the other; they would equally have one under the other.
*** I hope this helps (brainly if possible)
trevin puts 8 gallons of
Answer:
24.75 is answer
Step-by-step explanation:
Answer:
That was a good start, but we need the rest of the question.
Step-by-step explanation:
PLEASE ANSWER ASAP (no links please)
Solve for the indicated variable
g/h = e - 10 for g
Answer:
g = he - 10h
Step-by-step explanation:
Which one is the correct answer ? Find the amplitude , period. Phase shift asymptotes domain range Use the fact that cos(x)=0 will be an asymptote
Answer:
3. is your correct answer ok
9:12=15:______
I need the answer pls!
Answer:
15:20
Step-by-step explanation:
We can simplify the ratio to 3:4
after doing that we can multiply both sides by 5 giving us
15:20 as our answer
Or you can cross multiply
9 : 12 = 15 : x
Now we have 9x = 180
divide both sides by 9 and we get
x=20
which would work giving us the ratio of 9 : 12 = 15 : 20
See attachment picture please
Answer:
How can we answer it without question?
Natalie and her sister opened a savings account at the same time. Natalie deposited $100 and will deposit $10 each month. Her sister deposited $25 and will deposit $25 each month. When will Natalie have less money in her account that her sister?
Answer:
6 months
Step-by-step explanation:
We can think of Natalie as 100 + 10x and her sister as 25 + 25x. If we put them together, we will get 100 + 10x < 25 + 25x, We can simplify it by moving the 25 to the left side and 10x to the right side. Then we will get 75 < 15x, and the smallest solution is 6 because 5 * 15 is equal to 75
Find the nth term of the geometric sequence.
[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]
[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]
Answer:
aₙ = (6/19)*19ⁿ⁻¹Step-by-step explanation:
Given:
a₂ = 6a₄ = 2166Equation of nth term of GP:
aₙ = a₁rⁿ⁻¹Substitute for 2nd and 4th terms:
a₂ = a₁r = 6a₄ = a₁r³ = 2166Substitute the value of a₂ into a₄ and find the value of r:
a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19Find the first term:
a₁r = 6a₁*19 = 6a₁ = 6/19The equation of nth term is:
aₙ = (6/19)*19ⁿ⁻¹In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the estimated standard
error.
From the information given, and applying the formula, it is found that the standard error of the difference in proportion of smokers by sex is 0.0558.
The proportion and the standard error for each sample are given by:
[tex]p_W = 0.25, s_W = \sqrt{\frac{0.25(0.75)}{120}} = 0.0395[/tex]
[tex]p_M = 0.37, s_M = \sqrt{\frac{0.37(0.63)}{150}} = 0.0394[/tex]
The standard error of the difference in proportions is the square root of the sum of the standard error for each sample squared, hence:
[tex]s = \sqrt{s_W^2 + s_M^2} = \sqrt{0.0395^2 + 0.0394^2} = 0.0558[/tex]
Hence, the standard error is of 0.0558.
A similar problem is given at https://brainly.com/question/25649070
PLEASE HELP!! REWARDING LOTS OF POINTS!
Step-by-step explanation:
check the attached file
Work out Simplify if possible.
Answer:
a.1×9/1=9
b.3×5/1=15 i think this would be the answer
Answer:
a) 9
b) 15
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Solve for the missing variable thank you!
Jiro uses fabric to make costumes for a show choir
Answer:
Print it
Step-by-step explanation:
4 A neghborhood is debating whether or not to have a leash law, which would require all dogs outside of homes to be on a leash. Most of the dog owners live in the
northern part of the
neghborhood. Which of these polls should give the most accurate information?
O A Apoll in which two streets are chosen at random and all the houses are on those two streets are polled.
OB. A poll in which the northernmost street and the southernmost street are both polled
• C. A poll in which 50 people in the neighborhood are chosen by picking addresses out of a hat.
OD. A poll in which 25 people are chosen by picking random phone numbers.
Someone please help
Will give brainliest
Answer:
C. A poll in which 50 people in the neighborhood are chosen by picking addresses out of a hat.
Step-by-step explanation:
It limits the field to those the law would affect, yet is randomized within that field to not bias the results much.
helppppppppppppppppppppppppppp
A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is _____________ meters
and the total length of the carpet is _____________ meters.
Answer:
longer = 28 meters
Total = 40 meters
Step-by-step explanation:
Let the smaller piece be s,
and the longer piece be b
s = ¼b + 5
s = 12
¼b + 5 = 12
¼b = 7
b = 28 m
Total length = 28+12 = 40 meters
Which statement is true?
I need help solve the equation
Answer:
y = x +1
Step-by-step explanation:
The line meets the y-axis (on the left side of the graph) at y=1. This is the y-intercept (b).
The line goes up 1 grid square for each 1 grid square to the right. Its slope is ...
m = rise/run = 1/1 = 1
Now, we know m and b so we can write the slope-intercept equation for the line:
y = mx +b . . . . . . line with slope m and y-intercept b
y = x +1