Answers
=============================================
Work Shown:
Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.
The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).
Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180
z+z+56 = 180
2z+56 = 180
2z = 180-56
2z = 124
z = 124/2
z = 62
Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)
We'll use the same trick as before.
(x+z)+(x+z)+(y) = 180
(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28
2x+152 = 180
2x = 180-152
2x = 28
x = 28/2
x = 14
Related Questions
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?
Answers
Answer:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
Step-by-step explanation:
We have 3 friends
They are represented by:
Frazer = x
Sally = y
Frame = z
Total number of trees donated = 31
Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends
Frazer gets 3 more trees than Sally
x = y + 3
Sally gets 7 fewer trees than Flame
y = z - 7
z = y + 7
How many trees do each of his friends get?
x + y + z = 31
y + 3 + y + y + 7 = 31
3y + 10 = 31
3y = 31 - 10
3y = 21
y = 21/3
y = 7 trees
x = y + 3
x = 7 + 3
x = 10 trees
z = y + 7
z = 7 + 7 trees
z = 14 trees
Therefore:
Frazer = x = 10 trees
Sally = y = 7 trees
Frame = z = 14 trees
how do you solve graphs and make an equation from a line on a graph?
Answers
Always start on the y-axis.
rise/run
First things first, you have to know your positives, negatives, zeros, and undefined.
To make an equation from the graph you have to know your formula.
y=mx+b
You do the rise first. The rise on the graph is 3. The run is 2. So, that'll make it 3/2. m=slope.
b=y-axis. b=1.
y=3/2x+1 (Example from the image)
she fell to the floor and cried all afternoon
simple
compound
complex
Answers
Answer:
Compound.
Step-by-step explanation:
A compound sentence consists of two independent clauses and one coordinating conjunction to join the two clauses together. "She fell to the floor" is the first independent clause and "She cried all afternoon" is the second independent clause while "and" is the coordinating conjunction.
she fell to the floor and cried all afternoon is a compound sentence.
What is compound sentence ?A coordinating conjunction (for, and, nor, but, or, still, or so) plus a comma, or a semicolon alone, can be used to combine two independent clauses to form a compound sentence.A compound sentence is one that joins two independent clauses with a conjunction, most frequently and or but.They work best when integrating two or more independent, connected sentences into a solitary, cohesive one.At least two independent clauses and one or more dependent clauses make up a compound-complex sentence.To learn more about compound sentence refer,
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Find the missing side of this triangle ROUND TO THE NEAREST TENTH IF NEEDED!! PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
B option
Step-by-step explanation:
hypotenuse square = base square+ perpendicular Square
please mark me brainliest and 5 star
Plz l need the answer, If zero lies between a and d, give one set of possible answers for a, b, c, and d.
Answers
Answer:
a= -1, b=0, c=1, d=10
Step-by-step explanation:
You are given a.......0.........d
a= -1, b=0, c=1, d=10
Shady Rivers summer camp has 188 campers this week. If there are 22 campers to each cabin, what is the least number of cabins needed?
Answers
The least number of cabins needed for campers is 8.
Given that, Shady Rivers summer camp has 188 campers this week.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
The least number of cabins needed = Total number of campers/Number of campers to each cabin
= 188/22
= 8.54
Therefore, the least number of cabins needed for campers is 8.
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Corrine bought 8.4 pounds of almonds. She divided them into 30 snack-size bags. How many pounds are in each bag?
helphelphelp ASAPPPPP!!!!!
Answers
Answer:
0.28 pounds in each bag.
Step-by-step explanation:
There are 0.28 pounds in each snack-size bag.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
We have been given that she bought 8.4 pounds of almonds. She divided them into 30 snack-size bags.
We have to determine the number of pounds in each bag.
The number of pounds in each bag = total quantity of almonds ÷ number of bags
The number of pounds in each bag = 8.4 pounds ÷ 30 bags
The number of pounds in each bag = 8.4/30
Apply the division operation, and we get
The number of pounds in each bag = 0.28 pounds
Thus, there are 0.28 pounds in each snack-size bag.
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On a test Jenna gets 85% of the questions correct, Linda get 32 out of 40 questions correct, Karl gets 7/8 correct, and julie gets 0.83 of the questions correct. List the students in order from lowest to higest.
Answers
Answer:
Linda, Julie, Jenna, Karl
Step-by-step explanation:
Here, we want to list the students in order from lowest to highest
The key here is to have the scores in the same form, let us say decimals for ease of comparison
Jenna: 85% = 85/100 = 0.85
Linda’s= 32/40 = 80% = 0.8
Karl = 7/8 = 0.875
Julie = 0.83
So from lowest to highest, we have;
Linda, Julie, Jenna, Karl
6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!
Answers
Answer: 6 (z+13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
10-z=6
We move all terms to the left:
10-z-(6)=0
We add all the numbers together, and all the variables
-1z+4=0
We move all terms containing z to the left, all other terms to the right
-z=-4
z=-4/-1
z=+4
which property is used in the problem below
2(x+4)=2x+8
Answers
Answer:
Distributive property
The Distributive property. 2(x+4) got turned into 2x+8. The distributive property does this: 2 times x plus 2 times 4.
Step-by-step explanation:
Answer:God bless you and your family and friends and stay safe and good luck! :)
Step-by-step explanation:
The answer is C) The Distributive property.
2(x+4) got turned into 2x+8.
The distributive property does this:
2 times x plus 2 times 4.
2 times x = 2x
2 times 4 = 8.
So the answer is 2x+8.
C) Distributive property is right.
sin70° sin130° sin170°=1/8
Answers
Now we multiply upper & bottom both side 2/2
then
➡ 1/2 (2sin 10° sin50° 70°)
➡ 1/2 sin10°( 2sin70° sin50°)
we know that
2 sinA sinB = cos (A-B) - cos (A+B)
Then
➡ 1/2 sin 10° ( cos 20° - cos 120°)
➡ 1/2 sin 10° ( cos 20° - cos (90°+30°))
➡ 1/2 sin 10° ( cos 20° +1/2)
➡ 1/2 sin 10° cos 20° +1/4 sin 10°
again we multiply both upper & bottom side 2/2 so
➡ 1/4 ( 2 sin 10° cos 20°). + 1/4 sin 10°
we know that
2 sinA cos B = sin (A+B) - sin (A- B)
➡ 1/4 (sin 30° - sin 10°) + 1/4 sin 10°
➡ 1/4 sin 30° - 1/4 sin 10° + 1/4 sin 10°
we know sin 30° = 1/2
➡ 1/4 × 1/2
➡ = 1/8 hence proved
If m TUV = 64, mZTUW = 7x - 2,
and mZWUV = 24, find the value of x.
1
ud
V
X =
Answers
The easiest way to solve is
64-24=40
40/7= 6
X=6
A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?
Answers
Answer:
1792
Step-by-step explanation:
1 day = 112 × 4
= 448
4 days = 448 × 4
= 1792
.......
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?
82.242 miles
822.42 miles
8,224.2 miles
82,242 miles
Answers
Answer:
b) 822.42
Step-by-step explanation:
Just multiply 2.7 by 304.6 and your answer would be 822.42
Answer:
answer is b
Step-by-step explanation:
A box is filled with 6 blue cards, 6 brown cards, and 3 green cards. A card is chosen at random from the box. What is the probability that it is a blue or a green card?
Answers
Answer:
60% chance of a blue or green card
PLEASE HELP!!!
write an equation in slope intercept form for all these below
14.through: (5, 1) slope=3/5
15. through:(2, -4) slope=-1
17. through:(5,-2) and (-5,3)
Answers
Answer:
14. y= 3/5x-2
15. y= -1x-2
17. -1/2
Step-by-step explanation:
Since you have a point and a slope put it in point-slope form first.
Point-slope form: y-y1=m(x-x1)
Then solve for y.
Then you'll get the slope-intercept form.
For number 17 use the slope-intercept form y=mx+b
rise/run= m= y2-y1/x2-x1
help again
álgebra 1
Answers
Answer:
A (4,6)
ok im going to go through this step by step
4(4)=3(6)-2
16=18-2
16=16 (true solution)
18=3(4)+(6)
18=12+6
18=18 (true solution)
A snack mix recipe calls for 1 1/2 cups of dip and 1/3 cup of vegetables. Cole wants to make the same recipe using 1 cup of vegetables. How many cups of dip will cole need.
Answers
Answer:
4 1/2 cups of dipStep-by-step explanation:
Let required amount be x
Using the ratio to find x:
1 1/2 ÷ x = 1/3 ÷ 1x = 1 1/2 × 3x = 3/2×3 x = 9/2 x = 4 1/2 cupsA 6-meter wire will be cut into pieces that are each 0.15 meter in length. A 3-meter rope will be cut into pieces that are each 0.25 meter in length.
How many more pieces of wire than pieces rope will there be?
Answers
Answer:
that will be 40(wire)-12(rope)=28parts
Step-by-step explanation:
6meter wire div by 0.15 eq to 40
3meter rope div 0.25 eq to 12
so we use 40-12=28parts
Helllpppp meeeee plsssssss
Answers
Answer:
The inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
Step-by-step explanation:
Given
[tex]\frac{8}{5}<\frac{9}{10}[/tex]
FALSE
Reason: 8/5 or 1.6 is greater than 9/10 or 0.9
[tex]1>\frac{6}{5}[/tex]
FALSE
Reason: 1 is smaller than 6/5 or (1.1)
[tex]\frac{5}{2}<2\frac{1}{2}[/tex]
converting mixed number to improper fraction
[tex]\frac{5}{2}<\frac{5}{2}[/tex]
FALSE
Reason: 5/2 can not be less than 5/2
[tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex]
[tex]2<\frac{5}{2}[/tex]
TRUE
Reason: 2 is indeed smaller than 5/2 or 5.2 ∵ 5/2 = 2.5
Therefore, inequality [tex]\frac{8}{4}\:<\frac{5}{2}\:[/tex] is true.
SOMEONE HELP ME PLEASE ILL GIVE BRAINLY
Answers
Answer:
1st 3rd and 4th
Step-by-step explanation:
Answer:
The second one is the correct answer
Step-by-step explanation:
You have
[tex] \frac{1}{4} [/tex]
so it is Stretch
and -1 so Right 1 (When the number is in parentheses, the changes on the x-chart are reversed.) and finally +3 so Up3
The hanger image below represents a balanced equation.
a
9.1
4
Write an equation to represent the image.
Answers
Answer:
9.1 = a+4
Step-by-step explanation:
The right side has two different values, variable a, constant 4.
The left side has the constant 9.1.
If both sides are equal, then
a + 4 should equal 9.1
Answer:
9.1 = a+4
Step-by-step explanation:
I REALLY NEED HELP FAST PLEASE !!
Answers
Answer:
C: √768
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Please help how do I do this ??
Answers
Michelle has a bank account balance of $184. She deposits $38 and then spends $45 when she goes shopping.
Answers
Answer:
$177
Step-by-step explanation:
Answer:
117
Step-by-step explanation:
184+38=222
222-45=117
Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)
Answers
Answer:
the second answer
Step-by-step explanation:
.........
Select the function that represents the simple interest formula.
Answers
Answer:
C
Step-by-step explanation:
A P E X
Someone help please thx in advance
Answers
ISSS THIS CORRECT??????please help
Answers
Answer:
I think that is correct, sorry if i get it wrong
Answer:
Step-by-step explanation:
(4,1) you are correct
thhe solution is the intersection of thhe 2 graphs because that point of intersection belongs to both lines in the same time
16 - 3x = 4 + x
solve please
Answers
Answer:
x = 3
Step-by-step explanation:
Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3Solution for 16-3x=4+x equation:
Simplifying
16 + -3x = 4 + x
Solving
16 + -3x = 4 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
16 + -3x + -1x = 4 + x + -1x
Combine like terms: -3x + -1x = -4x
16 + -4x = 4 + x + -1x
Combine like terms: x + -1x = 0
16 + -4x = 4 + 0
16 + -4x = 4
Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16
Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16
Combine like terms: 4 + -16 = -12
-4x = -12
Divide each side by '-4'.
x = 3
Simplifying
x = 3