Answer:
The angles are 24.6° and 155.4°
Step-by-step explanation:
Supplementary angles:Supplementary angles add up to 180°
Let the measure of the supplementary angle = x
So, the angle is 130.8 more than 'x'
The angle = x + 130.8
The angles are supplementary.
x + (x + 130.8) = 180
x + x + 130.8 = 180
2x + 130.8 = 180
2x = 180 - 130.8
2x = 49.2
x = 49.2/2
x = 24.6
x + 130.8 = 24.6 + 130.8
= 155.4
The angles are 24.6° and 155.4°
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
An angle measures 130.8º more than its supplementary angle. What is the measure of each angle?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Supplementary angles add up to 180º.
In order to find the unknown angles, we should first let the angle be x.
Set up an equation:-
(remember, there are 2 angles, x and x+130.8):-
x+x+130.8=180
Add the x's:-
2x+130.8=180
Subtract 130.8 from both sides:-
2x=49.2
Divide by 2 on both sides:-
x=24.6º
To find the other angle, add 130.8º:-
24.6+130.8=155.4º
Second angle=155.4º
Now, we need to make sure our solution is correct.
We can easily check it by adding both angles together and seeing whether or not we end up with 180:-
155.4+24.6=180
180=180
Since the left-hand side equals the right-hand side, our solution is indeed correct.
The angles are 24.6º and 155.4º
Good luck.
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please frenid answer
1 . let f ( x) =2x+1 and g (x)= -3x -4
i.
a. f+g
b.f-g
ii. b. (3) fg (3)
Answer:i.a)-x-3 b)5x+5 ii.b)-6x2-11x-4
Step-by-step explanation:
Hi! I have been looking for this awnsers for days now and I still have no clue how to do this problem. Please Help :)
Answer: 480 sq ft
Step-by-step explanation:
for two rectangles on right do 8*16 =128*2 = 256
the rectangle on the right is also 128
total of all rectangles is 384 ft
now for the triangles
formula: 1/2 b*h
1/2 * 16*6 = 48
multiply that by 2 for both triangles
you have 96
add that to total and you get
480 sq ft
Answer:
Step-by-step explanation:
The hypotenuse of the triangles is the length of the rectangles so the length of the rectangles is 16 ft. The width of the rectangles is 8 ft. There are 3 rectangles so the surface area of them is:
(16*8)*3 = 384[tex]ft^{2}[/tex]
The area of a triangle is base times height divided by two. Here, the height of the two triangles is 6 ft and the base is 16 ft. So, the area of the two triangles is:
[tex]\frac{6*16*2}{2}[/tex] = 16*6 = 96 [tex]ft^2[/tex]
Add the two areas together to get the surface area.
384[tex]ft^2[/tex] + 96[tex]ft^2\\[/tex] = 480[tex]ft^2[/tex]
Hence, the surface area of the triangular prism is 480[tex]ft^2[/tex]
Please mark me as brainliest and hope this helps!!!
Find the measure of line segment DF.
A) 12
B) 13
C) 14
D) 15
As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.
What is Intersecting Chords theorem?If two chords cross in a circle, the products of the chord segments' measures are equal.
As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,
DF×FB = CF×FA
(x+8) × 8 = 16 × 7
(x+8) = (16×7)/8
(x+8) = 14
Hence, the measure of the line segment is DF is 14 units.
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Can you help me please
Answer:
A. -4
B. -3.5
C. 6.5
D. -2
Step-by-step explanation:
The “less” indicates it is negative.
The “more” indicates it is positive.
1. A truck's container has dimensions of 10 ft * 6 ft * 3 ft. It needs to transport microwaves (each takes 5 cubic feet of space). How many microwaves can the truck transport at once?
Answer:
36 microwaves
Step-by-step explanation:
First, find the volume of the truck's container
10*6*3 = 60 * 3 = 180
180 / 5 = 36
36 microwaves
Realistically, this wouldn't work unless you could make the microwaves any shape you want
However, according to mathematics, it would work
What is the balance point for this set of data?
Type only the number or decimal.
3 1 5 3 6 1 7 1 8 3 10 3 11 1 12 1
The balance point, or average value of those numbers, would be 4.75 or 4 and 3/4
HELP MEEEEEEEEEEEEEEEEEEEEEE!
5TH GRADE MATH! YOU CAN DO IT! :D PLEASE FOLLOW THE DIRECTION AND ATTACH A PHOTO WITH THE WORK ON IT. WILL GIVE BRAINLIEST!
Answer:
first is 1/8, second is 1/10, third is 1/15, and fourth is 1/16
Step-by-step explanation:
1/2 divided by 4 = .5/4
.5/4 = 0.125
.125 = 1/8
1. 1/8
1/5 = .2
.2/2 = .1
.1 = 1/10
2. 1/10
since 1/3 would be a repeating term, you can change 5 to 5/1
3/1 = 3
1/5 = .2
.2/3 = 1/15
3. 1/15
1/4 divided by four = 1/4 divided by 1/4
1 x 1 = 1
4 x 4 = 16
4. 1/16
What is the value of p
Answer:
p = 80°
Step-by-step explanation:
The sum of exterior angles is 360°
2p + p - 30 + p + 2p + p - 30 = 360
7p - 60 = 360
7p = 420
p = 60°
If a car goes 65 miles in 2 hours, how many miles will it go in 5 hours?
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −120°C or the metal will not be usable. The physicist changes the metal's temperature at a steady rate of −6°C per hour.
Part 1 out of 3
Let t represent time in hours. Enter an inequality. Use the fact that the rate of change in temperature times the number of hours equals the final temperature.
Answer:
i am pretty sure is is -20 but im not 100% try it
Step-by-step explanation:
aren has 3 1··4feet of ribbon. She uses 1 3··4feet to wrap gifts. Which model can be used to find out how much ribbon Karen has left?
The amount of ribbon left at Karen will be 18 feet.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given that:-
Aren has 31.4 feet of ribbon. She uses 13.4 feet to wrap gifts.The amount of ribbon Aren is left with will be:-
= 31.4 - 13.4
= 18 feet
Therefore the amount of ribbon left at Karen will be 18 feet.
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A pattern follows the rule "Start at 3 and add 10."
Which statement is true about the pattern?
A: Each term is 13 more than the previous term because the tens digit goes up by 1 and the one's digit goes up by 3.
B: Each term is 10 times the previous term because the tens digit goes up by 1 and the ones digit stays the same.
C: For each term, the ones digit stays the same and the tens digit goes up by 1 because 10 has one ten and no ones.
D: For each term, the ones digit goes up by 3 and the tens digit goes up by 1 because you start at 3 and go up by 10 each time.
Answer:
B
Step-by-step explanation:
process of eimination.
first, it cant be A because youre not adding 13
so theres your answer. :)
A tank (Container A) has a capacity of 235 ml and a jug (Container B) has a capacity of 105 ml
more than the tank. The contents of 3 tanks and 2 jugs are poured into Container C to fill it to the
brim, find the capacity in Container C.
___ ml
A. 1250
B.1385
C.1185
D.1000
You roll a fair 6-sided die.
What is P(not 3)
If necessary, round your answer to 2 decimal places.
Answer:
0.83
Step-by-step explanation:
Probability (E) :
⇒ Outcomes having a result of E / Total no. of outcomes
===============================================================
Solving :
⇒ Outcomes (not E) = 6 - 1 = 5
⇒ Total outcomes = 6
⇒ P (not 3) = 5/6
⇒ P (not 3) = 0.83
What are the X and y intercepts? Write a polynomial in factored form.
Answer:
f(x) = (x + 1)(x - 2) + 4
Step-by-step explanation:
X-intercepts
(-1, 0)(2, 0)⇒ (x + 1) and (x - 2)
⇒ Y-intercept = (0, 4) ⇒ + 4
Polynomial
f(x) = (x + 1)(x - 2) + 4HELP, I WILL GIVE YOU MANY POINTS!! (70)
A dime is worth $0.10 and a quarter is worth $0.25. Terry has a jar that contains
$1.00 worth of dimes and $1.00 worth of quarters. If he randomly removes one coin
from the jar, what is the probability that it is a dime?
Try to solve it’s not really that hard but I was just to lazy to do it
Which statements describe lorelei’s solution? check all that apply. her work is correct. her answer is correct. in step 1, the subtraction cannot be completed before the factorial of each number is calculated. in step 1, 12! divided by 10! is not equivalent to 6! divided by 5!. in step 3, the dividing out of common factors was performed incorrectly. there are sixty-six ways to choose ten items from twelve.
12! divided by 10! is not equivalent to 6! divided by 5!. Then the correct statement is 3.
What is the combination?Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
The statements are given below.
Statement 1 - The subtraction cannot be completed before the factorial of each number is calculated. This is the incorrect statement.
Statement 1 - 12! divided by 10! is not equivalent to 6! divided by 5!. This is the correct statement.
Statement 3 - The dividing out of common factors was performed incorrectly. There are sixty-six ways to choose ten items from twelve. This is the incorrect statement.
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Answer:
D and F
Step-by-step explanation:
(D) "In step 1, 12! divided by 10! is not equivalent to 6! divided by 5!."
(F) "There are sixty-six ways to choose ten items from twelve."
also this about slope
(-20,9), (14,9)
Answer: 0
Step-by-step explanation:
Which expression is equivalent to the expression (1 + 4x) + 2x
Answer:
6x + 1
Step-by-step explanation:
Add up like terms
4x + 2x + 1
= 6x + 1
Vanessa caught one fish with a mass of 1.78 kilograms and a second fish with a mass of 1.46 kilograms. What is the total mass, in kilograms, of both fish?
Of the following three Greek philosophers, who lived the longest?why?
Aristotle: born in Stagira in 384 BCE, died in 322 BCE.
Pythagoras: born in Samos around 580 BC, died around 495 BC.
Plato: born in Athens in 428 BCE, died in 348 BCE.
Answer:
Pythagoras
Step-by-step explanation:
To figure out how old each philospher was, we can find the difference between their birth and death years.
For Aristotle: 384 - 322 = 62 years old
For Pythagoras: 580 - 495 = 85 years old
For Plato: 428 - 348 = 80
85 > 80 > 62
So, Pythagoras lived the longest out of these three Greek philosophers.
Given the value of the hypotenuse c for a 30°-60°-90° triangle, write the
equations to represent sides a and b in terms of c. Assume a is the shorter leg.
Conhevole
Answer:
a= c/2
b= (c/2)×√3
side b is the side with the 60 degree angle.
side a is the side with the 30 degree angle.
using the theorem that the side with the 60 degree × 2 = length of side c and the side with the 60 degree × √3 = b.
I get the following equations shown above.
A pole is supported by two wires one on each side going in opposite directions the wires are 14ft and 17ft long if the wires are to be secured to the ground 22 feet from each other what angle must the 14 foot long wire make with the ground
The angle the 14 foot long wire must make with the gound is approximately 51 degrees.
What is a right angle triangle?A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.
Using cosine law,
17² = 14² + 22² - 2 × 14 × 22 cos C
289 - 196 - 484 = -616 cos C
-391 = -616 cos C
divide both sides by -616
cos C = -391 / -616
cos C = 0.63474025974
C = cos⁻¹ 0.63474025974
C = 50.59929658
C = 51 degrees.
Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.
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Answer:
50.6
Step-by-step explanation:
yes
The Question Is In The Picture (Please Help Me Quick)
Answer:
y=mx+b
10=15x+B
b is whatever the number is you got to add or multiply to get the next number
Step-by-step explanation:
The distance around a meteor crater is 9,687 feet. Find the diameter of the crater. Use 22/7 for pi.
The diameter is ? feet
(Round to the nearest tenth as needed.)
Answer:
3083.5feet
Step-by-step explanation:
the distance around the crater is a fancy way of saying circumference, so you would find the diameter by dividing the circumference by pi
Write x4 * x2 without exponents.
Hey there!
It’s very much impossible to make this equation without it being an exponent because the result has an exponent in it itself
x⁴ × x²
= (x × x × x × x) + (x × x)
≈ x⁴ ⁺ ²
≈ x⁶
Therefore, the answer should be: x⁶
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
TSW #5 (Circles - part 11
Find the circumference. U
Round to the nearest ich
mference. Use!!!œp
Answer:
182
Step-by-step explanation:
the formula for the circumference is equal to 2 × pi × r
pi = 3.14
r = 29
hence,
C = 2 × pi × 29
C = 182 inches
given that sin (A) = cos (A), find tan (A)
Answer:
tan (A) = 1
Step-by-step explanation:
When sine and cosine are equal to each other, they have the same value. We know that tan (A) = sin (A) / cos (A). If sin (A) and cos (A) are the same, and any number divided by itself equals 1, the final answer must be tan (A) = 1.
Write 37341000000 in standard form.
Answer:
trinta e sete bilhões, trezentos e quarenta e um milhões.