Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
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There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?
Answer:
210
Step-by-step explanation:
25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.
What is the value of n.
n
30°
E
973
???
Answer:
13.5
Step-by-step explanation:
use soh cah toa
cos 30 × 9√3= n
Which of these are ways to measure a resting heart rate?
Select all that apply.
Answer:
Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.
Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.
Step-by-step explanation:
I did a test and that was a correct answer.
How to improve your class multiplication skills.
Answer:
PRACTICE.....ONCE THERE WAS A TIME WHEN I'D USED TO FAIL IN MATHS.....BUT NOW I ALWAYS GET 90+ IN MATHS!!!!!
the base of a triangle is eight less than twice it’s height, if the area of the triangle is 5cm^2 find the length of the base
Answer:
the height = 5cm
the base = 2cm
Step-by-step explanation:
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answer:
50% is 0.5
10% is 0.1
75% is 0.75
Step-by-step explanation:
When multiplying to find the percent of a number, you make it a decimal by dividing it by 100.
Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.
The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.
a. To determine the distance of sailboat A from the stating point.
Applying the cosine rule to the path traveled by sailboat A, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)
= 25 + 64 -80 * -0.8746
[tex]c^{2}[/tex] = 89 + 70
[tex]c^{2}[/tex] = 159
c = [tex]\sqrt{159}[/tex]
= 12.6095
Thus, the distance of sailboat A from starting point is 12.61 miles.
b. To determine the distance of sailboat B from the stating point.
Applying the cosine rule to the path traveled by sailboat B, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)
= 64 + 25 -80 * -0.6293
[tex]c^{2}[/tex] = 89 + 50.344
= 139.344
c = [tex]\sqrt{139.344}[/tex]
= 11.8044
c = 11.80 miles
Thus, the distance of sailboat B from starting point is 11.80 miles.
Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.
A sketch is attached to this answer for better reasoning.
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Determine the slope of the line represented by the equation 9x + 4y = 8. Represent the slope in decimal form.
Answer:
slope = - 2.25
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x + 4y = 8 ( subtract 9x from both sides )
4y = - 9x + 8 ( divide through by 4 )
y = - 2.25x+ 2 ← in slope- intercept form
with slope m = - 2.25
If 2/3 of a number is 10, then what is 0.15 times of that number?
a) 225 b) 825 c) 22.5 d) 2.25
step by step explanation needed
Answer:
d) 2.25Step-by-step explanation:
Let the number is x.
2/3 of a number is 10:
2/3x = 10x = 3*10/2 = 150.15 times of the number is:
15*0.15 = 2.25Correct choice is d
The quotient of a number, divided by 3, equals-8
Answer:
x / 3 = -8
Step-by-step explanation:
Combining Like Terms -
Answer:
Step-by-step explanation:
How do I factor this expression
2xy-x^2y-6+3x
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
15lb
Step-by-step explanation:
1lb=453.59
Help.....Me...........PLEASE
Answer:
~corresponding angles
~congruent
~7x-10=6x so x=10
~60⁰ and 60⁰
PLZ HELP 400 POINTS AND BRAINLIEST
Answer:
A=9
b=2.75
POINTS A AND B ARE 9 UNITS APART
Step-by-step explanation:
enjoy hope i get what i was promised :D
Answer:
a and b are 9 units apart
Step-by-step explanation:
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
the equation of a function is y=25- 3x find the value of x when y=34
please help will mark as brainlist
Answer:
176
Step-by-step explanation:
Answer:
[tex]m[/tex]∠STV = 43°
Step-by-step explanation:
It has the corresponding relation with ∠UTV
triangle interior angles theorem
answer and explain briefly
Answer:
x=62
Step-by-step explanation:
(x+1)+ x+55=180
-55 -55 (take away the 55)
(x+1)+ x= 125 (take out of parenthesis)
x+1+ x= 125
2x+ 1= 125 (add the two x's together)
-1 -1 (take away the one)
2x= 124 (divide by 2)
2
x=62
There are 12 boxes of books to put on shelves. Each box has 31 books.Each shelve holds 18 books. Kevin estimates he will need 20 shelves for all the books
Answer: False. 21 Shelves.
Step-by-step explanation:
First, 12 x 31= 372
This indicates that there are 372 books.
Then, 372 ÷ 18= 20.6666666667
Since we have a decimal that is above 4 we round up.
This leaves 21 shelves needed for all the books o fit on a shelf.
Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work correct?
Answer:
Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.
[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]
SUPER EASY! FRACTIONS PLS HELP!
a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.
1.what is the fraction of green crayons to the total number of crayons written in simplest form
2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form
3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?
Answer:
1: 1/3
2: 3/19
3: 7/3
Step-by-step explanation:
when 1760 is divided into 14 equal parts, the remainder is 10. what is the correct way to write the quotient?
Answer:
125 R10
Step-by-step explanation:
You have to do (1760-10)/14=125
Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown number? 3x = 3 2x x = 3 2x 3x 3 = 2x 3x = 3 2 x.
Answer:
A
Step-by-step explanation:
A triangle has two side of lengths 10 and 14. What value could the length of the third side be?
Use the Pythagorean Theorem [tex]a^2 + b^2 = c^2[/tex].
Since we have 2 sides we can easily solve for the third.
[tex]c^2 = 10^2 + 14 ^2[/tex]
[tex]c = \sqrt{100 + 196}[/tex][tex]= \sqrt{296}[/tex] ≈[tex]17.205[/tex]
What is the measurement of this angle?
Answer:
I believe it is 82.
Step-by-step explanation:
This is because a triangle's angles add up to 180. 180-65-33=82
Sorry if this is wrong
dont know the answer pls help :(
Answer:
x=3
Step-by-step explanation:
7x-3=18
7x=18+3
7x=21
x=3
Use the graph to complete the statements.
The car gets
30
miles to the gallon.
After the car has traveled?
miles, 2 and two-thirds how many gallons of gas have been consumed.
Answer:
The answer is 80 miles 2/23
Step-by-step explanation:
I hope this helps
Shamaya gave away 6 bags of chips. She now has 17 bags of chips left in her bag. How many bags of chips did she have originally?
Answer:
23
Step-by-step explanation:
She originally had 23 because if she gave away 6 bags of chips, she would have 17 left
-
17+6=23
double check answer:
23-6=17
Answer:
the answer is 23
Step-by-step explanation:
17+6=23
so she 23 bags of chips
A used car is advertised for sale at "$300 down and $65 a month for 12 months. What is the total price of the car?
Answer:
It will be 780
Step-by-step explanation:
explanation is that I multiply 65$ by 12