LAST ONE \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
To the nearest hundredth, what is the distance between point (5, 1) and point (6, 8)?
Answer:
it is 5/2
Step-by-step explanation:
Answer:
7.07
Step-by-step explanation:
See image for explanation
what 2 numbers have a sum of -10 and a difference of -2?
Answer:
-6 and -4
Step-by-step explanation:
-6 + -4 = -10
-6- - 4 = -2
What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm?
What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml?
What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3?
What is the mass of a liquid that has a density of 2.4 g/ml and a volume of 32 ml?
What is the volume of gold with the mass of 1500 g if the density of gold is 19.32 g/ml?
What is the density of a box if the mass is 160 g and the volume is 12 ml?
What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement)
The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil?
Answer: What is the volume of a book when the length is 42 cm, the width is 12 cm and the height is 4 cm? 2016 (length x width x height)
What is the mass of a rock if the volume is 54 ml and the density is 3.2 g/ml? 172.8 (when finding the mass you always multiply the volume and density so 54ml x 3.2 g/ml = 172.8)
What is the density of a block of wood that has a mass of 38 g and a volume of 19 cm3? 2cm3 (38g/19cm3=2cm3
What is the density of a box if the mass is 160 g and the volume is 12 ml? 13.3 (160/12=13.3)
What is the volume of a shark’s tooth when you start with 75 ml of water in a graduated cylinder and when the shark’s tooth is placed in the water, the water level rises to 90 ml? (use water displacement) 15 (If you measure the amount the water level increases, you can find the volume of the water pushed out of the way.)
The mass of a pencil is 8 g and the density is 1.24 g/ cm3. What is the volume of the pencil? 6.45cm3 (8/1.24/cm3=6.45
Step-by-step explanation:
What is the sum of 2/3 + (-1/3) in fraction form?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{3}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{3} + ( - \frac{1}{3} )}[/tex]
We know that [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{2}{3} - \frac{1}{3}} }[/tex]
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \dashrightarrow{ \sf{ \frac{2 - 1}{3}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ \frac{1}{3}}}} [/tex]
Hope I helped!
Best regards! :D
The sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The number expression is:
= 2/3 + (-1/3)
= 2/3 - 1/3
Taking 3 as LCM
After simplification:
= (2 - 1)/3
= 1/3
Thus, the sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.
Learn more about the fraction here:
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Describe the transformation.
Answer:
C. reflection across the x-axis
Answer:
C
Step-by-step explanation:
This is a reflection across the x-axis because it is the same thing but reflected.
Hope this helps.
A cylinder has a circular base radius 14cm and height of 10cm.Find the total surface area of the cylinder. [take pie 22/7] *
Answer:
ii) curved surface area =2 pie rh
2*22/7*14*21
1548 cm2
iii) total surface area=2 pie r(r+h)
2*22/7*14(14+21)
2780
iv) volume of cylinder=pie r2h
22/7*14*14*21
12936 ans
Step-by-step explanation:
Answer:
As = 2112 cm²
Step-by-step explanation:
given:
A cylinder has a circular base radius 14cm and height of 10cm.
find:
the total surface area of the cylinder. [take pie 22/7] *
solution:
surface area (As) = 2πrh + 2πr²
where r = 14 cm; h = 10 cm; π = 22/7
plugin values into the formula:
As = 2 (22/7) 14 (10) + 2 (22/7) 14²
As = 880 + 1232
As = 2112 cm²
Change the fraction into a decimal
[tex] \frac{7}{100} [/tex]
Answer:
0.07
Step-by-step explanation:
If a = 3 and b = 5, what is the value of a+. 62?
9 + 25
84
6 + 10
82
Answer:
a+62=65
Step-by-step explanation:
if a=3 then 62+3=65
0)
A car traveled 125 miles in 2.5 hours. If the car continued at the same rate, how far had it traveled after 3 hours?
Miles traveled after 3 hours =
Answer:
150
Step-by-step explanation:
125/2.5=50
50x3 =150
Answer:
150
Step-by-step explanation:
I took the Practice/Instruction :)
3.
Andrew wants to buy 28 radio sets. Each radio set costs $229. Give a
quick estimate of the total cost of the radio sets.
6) The rectangle below has a perimeter of 46. Find its area:
Answer:
Step-by-step explanation:
Perimeter= 46
Area of rectangle= Length * Width
Ratio = 2 : 1
= Length= 2/3 * 46 = 30.6/2 = 15.3
Width = 1/3 * 46 = 15.3/2 = 7.65
Area= 117.045
2/5(x-9)=-8
I don’t get it
Answer:
-11=x
Step-by-step explanation:
2/5x-3.6 is the simplified when you DISTRIBUTE 2/5 multiplying both parts of the parentheses. Add 3.6 to both sides 2/5x=-4.4 then 2x=-22, x=-11
plz help if you can..
n = 2
My picture shows my work :)
Which graph shows the image being rotated 90°?
Answer:
There is no picture, my sweetheart.
Step-by-step explanation:
Which does Not round to 200?
163
266
150
221
Answer:
266
Step-by-step explanation:
Rewrite 4 x 4 x 4 x 8 x 8 using exponents PLEASE ASAP ILL NAME BRAINLIEST AND 15 POINTS
Answer:
4^3 and 8^2
Step-by-step explanation:
Answer:
12
2
Step-by-step explanation:
4 × 4 × 4 × 8 x 8
Solution:
2 2 2 3 3 2+2+2+3+3
2 x 2 x 2 x 2 x 2 = 2
12
2
2 raised to the 12 power
Which of the following is a term in the
expression 3x2 + 5x +9?
Answer:
Two.
Step-by-step explanation:
In algebra, a term is either a single number or variable, or numbers and variables multiplied together. In any equation, all of the numbers there that aren't divided by a mathematical operation (times or divide symbols) are terms.
3x2 isn't a term, it's an expression - but 5x and 9 are, so therefore there are 2 terms.
The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are
the coordinates of B?
Answer:
Step-by-step explanation:
(x - 3)/2= 1
x - 3 = 2
x = 5
(y - 8)/2 = -2
y - 8 = -4
y = 4
(5, 4) coordinates for B
The coordinates of B are (5, 4) if the midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8),
What is an ordered double?It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).
[tex]\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|[/tex]
It is given that:
The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8).
Let the coordinate of B is (x, y)
From the midpoint theorem:
(x - 3)/2= 1
x - 3 = 2
x = 5
For y coordinate:
(y - 8)/2 = -2
y - 8 = -4
y = 4
(5, 4) coordinates for B
Thus, the coordinates of B are (5, 4) if the midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8),
Learn more about the order double here:
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How many days are in a school year? (HINT there are 8 hours in a school day and one school year has 180 days) A 4320 B 8760 C 2920 D 1440
d. 1440
I'm guessing you mean hours in a school yr
8 hrs in a day x 180 days = 1440 hrs in 1 school yr
how many 'hours' are there in a school year?
answer: D
8 hours a day x 180 days ( one school year)
8 x 180
= 1440 hours
!!20 POINTS!!
Find AC
Answer:
A. 12
Step-by-step explanation:
a = -7
b = -4
c = 5
ignore B. counting should be till the desired grid which is C
AC = 7 + 5
AC = 12
Answer: 12
Step-by-step explanation: just count their distance by 1
Graph an Integer on a Number Line
Graph -4 on a number line. Then graph 8/2 on a number line. Which one
is greater????
Answer:
8/2
Step-by-step explanation:
If 3^1-x +3^1+x = 90, Find the value of x
Answer:
[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3^{1-x}+3^{1+x}=90[/tex]
First, note that this is the same as:
[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]
Factor out a 3:
[tex]3(3^{-x}+3^{x})=90[/tex]
Divide both sides by 3:
[tex]3^{-x}+3^x=30[/tex]
Change the negative exponent into a fraction:
[tex]\frac{1}{3^x}+3^x=30[/tex]
Multiply both sides by 3^x:
[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]
Distribute:
[tex](1)+(3^x)^2=30(3^x)[/tex]
Let u equal 3^x. So:
[tex]1+u^2=30u[/tex]
Subtract 30u from both sides:
[tex]u^2-30u+1=0[/tex]
This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:
[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute:
[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]
Simplify:
[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]
Subtract:
[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]
Simplify:
[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]
Simplify:
[tex]u=15\pm 4\sqrt{14}[/tex]
Substitute back u:
[tex]3^x=15\pm 4\sqrt{14}[/tex]
Take the log to base 3 of both sides:
[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]
The left side cancels:
[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]
So, our solutions are:
[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]
And we're done!
simplify 1/3(6x−12)+4x
Answer:
não sei....................
Your cell phone plan costs $29.99 per month plus $0.17 for each text message you send or receive. You have at most $34 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? (with step by step solution).
Answer:34.00-29.99=4.01. 4.01÷0.17=
Step-by-step explanation:
2
45:47
3
4
5
6
7
8
9
10
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another
planet would be about 56 lb. Approximately what would Vince weigh on the other planet?
40 lb
64 lb
76 lb
90 lb
Submit
Neyt
Answer:
76
Step-by-step explanation:
140-56= 84
140-84=56
160-84=76
What’s the value of 2^3? If you could explain that’d be amazing
Answer:
8
Step-by-step explanation:
2 (2)(2)
2 times itself 3 times.
Answer: 8
Step-by-step explanation: Since 2 is to the power of 3 that means multiply by itself 3 times, so 2 x 2 x 2 = 8.
If this helped please mark Brainliest!!!
What is 20+ 1,278 equal
Answer:
1,298
Step-by-step explanation:
Step 1:
1,278 + 20
Answer:
1,298
Hope This Helps :)
Answer:
1298
Step-by-step explanation:
20+1278=1298
9x + 5 - 3x = 5x - 14
Answer: The answer is x = -19
Answer:
-19
Step-by-step explanation:
9x - 5x -3x = -14 -5
1x = -19
A package of 4 pairs of insulated gloves costs $31.16. What is the unit price of the pairs of gloves?
The unit price is $ per pair of gloves.
Answer:
$7.79 per pair of gloves
Step-by-step explanation:
divide
31.16÷ 4 = 7.79