Answers
Answer:
130
Step-by-step explanation:
Hello There!
An included angle is equal to half the measure of its included arc
So more specifically for this circle
∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)
So in order to find the value of x we are going to want an equation
Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two
So 2(3x+32) = 10x+20
now we solve for x
step 1 distribute the 2
2 * 3x = 6x
2 * 32 = 64
now we have
6x + 64 = 10x + 20
step 2 subtract 20 from each side
64 - 20 = 44
20 - 20 cancels out
now we have 6x + 44 = 10x
step 3 subtract 6 x from each side
10x - 6x = 4x
6x - 6x cancels out
now we have 44 = 4x
step 4 divide each side by 4x
44/4=11
4x/4=x
we're left with x = 11
finally we want to plug in 11 to x for (10x+20)
10(11)+20
10*11=110
110+20=130
so arc ab = 130
Answer:
AB = 130
Step-by-step explanation:
So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.
In this case, the ARC is AB, and the angle is CBA.
CBA = 3x+32
AB = 10x+20
And,
[tex]CBA = \frac{1}{2} AB[/tex]
Now,
[tex]3x+32=\frac{1}{2} (10x+20)[/tex]
[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]
Now we can substitute x into the equation that equals AB
[tex]10(11)+20 \\=110+20\\=130[/tex]
So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.
Have a nice day fam. Spread The Love.
Related Questions
word form? 132 = 132
Answers
Answer:
one hundred thirty-two
Step-by-step explanation:
should be it if it is can i get brainliest?
Today i will walk 3 miles per hour to school, which is 1.5 miles away how many hours would this trip take
Answers
Answer: 30 minutes so 1/2 hour
Step-by-step explanation:
Because 3 miles = 1 hour
1.5 times 2 = 3
divide 2 on both sides
Answer:
2 hours
Step-by-step explanation:
divide3 by 1.5 and that is how long it will take you
100 POINTSSS PLZZZZZZZZZZZ
Answers
Answer:
The correct anser is B. (i think. sorry if wrong) have a wonderfull day. dont let them bring you down. your amazing just the way you are.
Step-by-step explanation:
Step-by-step explanation:
\blue{\large \rightarrow }\: \boxed{ \sf{ \frac{1}{v} + \frac{1}{u} = \frac{1}{f} }}
Question 1
Find mZN
620
K
N
Need help with this question?
Answers
Answer:
∠ N = 31°
Step-by-step explanation:
The inscribed angle KLN is half the measure of its intercepted arc KL, so
∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°
PLEASE HELP ME SOMEONE. How do I do this? Please explain and I will give you crown.
Answers
Answer: the one in the bottom right
Step-by-step explanation: each month which is the x axis ( the bottom line) the y axis (line on the left) goes up by 5
so when the x axis is 1 the y axis should be at 5
find the area of a triangle with a base of 8cm and a height of 10cm
Answers
Answer:
40 cm²
Step-by-step explanation:
A = 1/2bh
A = 1/2 (8) (10)
A = (4) (10)
A = 40
hi please help i’ll give brainliest
Answers
Answer:
Ellipse. It is irregular at some points.
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
I NEED HELP!!! :((((
Answers
Answer:
it represents a polynomial
Can someone match all of these definitions to all five words for me? I’m very confused but I’ll mark brainlist if you do at least 4! Please and thanks
Answers
Solution: Any value for a variable that makes the equation true.
Reciprocal: Focuses on the use of multiplication and division
Coefficient: A number that is multiplied by a variable in an algebraic expression is a coefficient
Term: A term of an algebraic expression is a number, variable, or product of numbers and variables
Base: The base of a power is the factor that is multiplied repeatedly in the power.
Hope this helps, and have a great day!
Answer:
Solution: any value for a variable that makes an equation true
Reciprocal: focuses on use of multiplication and division
Coefficient: A number being multiplied by a variable in an algebraic expression
Base: the base of a power is a factor that is multiplied repeatedly in power
u got the term definition right
Step-by-step explanation:
Which angle is congruent to <4 <1<2<5<8
Answers
Answer:
The angle that will be congruent to angle 4 is :
Angle 1
Step-by-step explanation:
It is given that:
angle 4 and angle 5 are complements.
Also, angle 1 and angle 5 are complements.
Congruent complementary Theorem--
It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.
Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.
What is the vertex of f(x) = -2|x + 1| + 2?
Answers
Answer:
(-1,2) i think
Step-by-step explanation:
Carla wants to save $55.50 to buy a new video game. Carla babysits her niece once a week and earns the same amount of money each week. After every time she babysits she donates $2 from the money she earned to the local food bank. Carla calculates that it will take her 6 weeks to save enough to buy her video game. Write and solve an equation to determine how much money Carla earns per week.
Answers
Answer:
$11.25
Step-by-step explanation:
55.50 divided by 6 = 9.25
9.25 + 2 = 11.25
In OK, which arc is a major arc?
G
H
74
K
A GEI
C FJG
D IJF
B HIJ
Answers
Answer:
D
i thank
Step-by-step explanation:
what is the approximate radius of a sphere with a volume of 900 cm squared
A 12 cm
B 36 cm
C 18cm
D 6cm
Answers
Answer:
about 5.99 or D. 6 cm
Step-by-step explanation:
you can use this formula
[tex]V=4/3 * \pi *r^{3}[/tex]
Please help me, I’m struggling
Answers
Answer:
28[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{96}[/tex]
= [tex]\sqrt{16(6)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]
= 4[tex]\sqrt{6}[/tex]
Then
7[tex]\sqrt{96}[/tex]
= 7 × 4[tex]\sqrt{6}[/tex]
= 28[tex]\sqrt{6}[/tex]
Please help ASAP last question. Number 6
Answers
If 19,000=19% Then 100,000=100%
100,000-900=99,100
Answer: $99,100 was his salary last year
What is the answer to this question?
Answers
Answer:
C is the answer also can I have brian list
Step-by-step explanation:
MARKING BRAINLIEST TO FIRST PERSON WHO IS CORRECT!
I need help with #13
Answers
Answer:
True
False
False
Step-by-step explanation:
Paul uses a coordinate plane to design his model town layout. Paul moves the market 2 units left and 3 units down. He says the ordered pair for the new location of the market is (0, 6). Explain Paul's mistake and write the correct ordered pair for the new location of the market.
Answers
Answer:
(1,5) because, before it was at (3,8) and
3 – 2 = 1
8 – 3 = 5
For further explanation:
(3,8) / (2,3) = (1,5)
2 for 2 units left and 3 for 3 units down
The diameter of a circle is 6 kilometers. What is the area?
d=6 km
Give the exact answer in simplest form.
square kilometers
Answers
Answer:
28.27 rounded orrrr 28.27433388 not rounded.
Step-by-step explanation:
area of circle=πr^2
radius=3 km
3^2=9
9*π
Step-by-step explanation:
Area of a circle = πr²
Radius (r) =1/2 Diameter
=60/2
=30km
Area = π x (30)²
= π x 900
= 2027km²
52 )7,696 with reminder
Answers
have a great day!
Find all the missing sides and angles of this triangle,
А
7
B
70°
The measurement of angle A
A A=
The length of side BC
The length of side AC-
Answers
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
Max is mixing oil and gas for his moped. He uses 3.75 liters of gas and 1.5 liters of oil. How many liters of gas are used per liter of oil?
Answers
Answer:
2.5 liters of gas is used with per liter of oil
Step-by-step explanation:
Max is missing oil and gas for his moped.
Amount of gas used = 3.75 liters
Amount of oil required = 1.5 liters
Ratio in which gas and oil are mixed = [tex]\frac{3.75}{1.5}[/tex]
= [tex]\frac{2.5}{1}[/tex]
That means if he uses 1 liter of oil then the gas required for the mixture = 2.5 liters
Therefore, 2.5 liters of gas is used per liter of oil.
Use the order of operations to solve for C when n = 5.
C = 7(4n + 2) - 8
Use order of operations to solve for C when n = 5.
C = 45 - 3n
Answers
C=7(20+2)-8
C=7(22)-8
C=154-8
C=146
C=45-3(5)
C=45-15
C=30
Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?
Answers
Answer:
Line segment PM = 4.2 length
ML = 6.2
ON = 3
NK = 2
Step-by-step explanation:
Just got it on plato your welcome:)
The segments formed by each transversals and the three parallel lines are
proportional according to the three parallel lines theorem.
The observations are;
The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]Reasons:
The question is a four part question
Let the equations of the parallel lines be as follows;
Line, x; y = x
Line, y; y = x + 1
Line z; y = x + 2
The points at which transversal 1 intersect the lines x, y, and z, are;
A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)
The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)
The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)
The ratio of the lengths of the segment formed by transversal 1 is therefore;
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]
The points at which transversal 2 intersect the lines x, y, and z, are;
D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)
The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)
The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]
Therefore;
[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]Which gives;
The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.The the comparison can also be made with the triangle proportionality theorem.
Learn more about triangle proportionality theorem here:
https://brainly.com/question/8160153
Write the exact value of the side length, in units, of a square whose area in square units is: 100/9
Answers
Answer: 10/3 units
Step-by-step explanation: sqrt 100/9= 10/3
does anybody know the answer?
Answers
Answer:
y+48=90
y= 90-48
y= 42
Step-by-step explanation:
ok
by using the property
sum of two opposite interior angles of triangle is equal to exterior angle
Sarah is building a birdhouse the nails she uses are 1 inch long the wood board is 1 foot long how many times smaller is the nails compared to the wood
Answers
11. Dave is building a doghouse that is a scale model of his shed in the farm yard, One of
the windows on the shed is 117 cm wide and 130 cm high. On the doghouse the window
is 9 cm wide,
a) What is the scale factor Dave is using to build the doghouse?
a.
2 mar
b) How high is the window in the scale model?
Answers
Answer:
a) 1/13 (or 13 depending on the factor is being applied to the dog house or applied to the shed. If its being applied to the shed like 117 * scale factor it is 1/13)
b) 10
Step-by-step explanation:
The scale factor is 13 and the height of the dog house is 10 cm.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
Given that, Dave is building a doghouse that is a scale model of his shed in the farmyard, One of the windows on the shed is 117 cm wide and 130 cm high. On the doghouse the window is 9 cm wide,
a) Since, the scale factor = ratio of original scale to scale of the model.
Therefore,
Scale factor = 117 / 9 = 13
b) Since, the scale factor is 13 and the original scale of the window high is 130 cm.
Therefore, height of the doghouse = 130 / 13 = 10 cm
Hence, the scale factor is 13 and height of the dog house is 10 cm.
Learn more about scales, click;
https://brainly.com/question/1287267
#SPJ2
Please help me anyone any other answers would be reported
Answers
Answer:
Wait So...
Step-by-step explanation:
What Kind of Math is this?
