Answers
Answer:
77°
Step-by-step explanation:
By the property of intersecting tangent and secant outside of a circle:
[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]
The mArc SU is option (B) 77 degrees
What is Tangent?A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.
What is secant ?A secant is a line that intersects a circle in exactly two points.
Here,
By the property of intersecting tangent and secant outside of a circle:
[tex]T=\frac{1}{2}(RU-SU)[/tex]
Here
T= 21 degrees
RU is the mArc RU = 119 degrees
Then,
[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]
SU = 77 degrees
Hence, the mArc SU is option (B) 77 degrees
Learn more about Tangent and secant here
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Related Questions
I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail
Answers
Answer:
yes I can try to help you what I can
WORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples.
Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Solution. Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.
Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.
2x = 42 + 14 (Lesson 9)
= 56.
x = 56
2
= 28.
The blouse cost $28.
Example 2. There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
Solution. Again, let x represent the unknown number that you are asked to find: Let x be the number of girls.
(Although b is not known -- it is an arbitrary constant -- it is not what you are asked to find.)
The problem states that "This" -- b -- is three more than four times x:
4x + 3 = b.
Therefore,
4x = b − 3
x = b − 3
4 .
The solution here is not a number, because it will depend on the value of b. This is a type of "literal" equation, which is very common in algebra.
Example 3. The whole is equal to the sum of the parts.
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Solution. In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 84:
word problem = 84
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 84 − 12
= 72.
x = 72
2
= 36.
This is the first number. Therefore the other number is
x + 12 = 36 + 12 = 48.
The sum of 36 + 48 is 84.
Example 4. The sum of two consecutive numbers is 37. What are they?
Solution. Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1
= 36.
x = 36
2
= 18.
The two numbers are 18 and 19.
Example 5. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Solution. Let x be the smaller number.
Then the larger number is 10 more: x + 10.
The problem states:
2x + 3(x + 10) = 55.
That implies
2x + 3x + 30 = 55. Lesson 14.
5x = 55 − 30 = 25.
x = 5.
That's the smaller number. The larger number is 10 more: 15.
4. Find the value of x.
A) 6 √ 2
B) 12 √ 3
C) 24 √ 3
D) 12
Answers
24^2=12^2+x^2
sqrt(576-144)=x
sqrt(432)=x
12sqrt(3)=x
the answer is c
What is the sum of the measures of the interior angles of any triangle?
100°
180°
270°
360°
Answers
Answer:
180°
Step-by-step explanation:
E D G E N U I T Y
Hope this helped! :)
Stay safe and have a wonderful day/night!!!!!
Please give Brainliest to the person who answered before me.
The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number Cube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2
Answers
Answer:
(1/6)
Step-by-step explanation:
ℎ 1/6
I have to find the area of this rectangular prism pls help!!
Answers
Answer:
the surface area is 208
Step-by-step explanation:
formula for surface area is A = 2 (w*l + h*l + h*w )
A = 2 ( 4*8 + 6*8 + 6*4 )
A = 2 ( 32 + 48 + 24 )
A = 2 ( 104 )
A = 208
1.) What is the equation given a slope of ½ and a y-intercept of 4?
2.) What is the slope of an equation y=2x-5
3.) What is the y-intercept of an equation y=7x+8?
Answers
2) slope is 2
3) 8
please help im struggling and it’s due in 30 minutes
Answers
solve this problem please
Answers
Answer:
Check pdf
Step-by-step explanation:
nat is flying a kit outside but gets a little hungry. they anchor the kite to the ground by tying a string to a post and notice that 200 yards of the string have been let out. the kite string makes an angle of 57 degrees with the ground. while nat eats a snack, they look at the kite and wonder how high it is off the ground.
Answers
Answer:
Check pdf
Step-by-step explanation:
A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle
travel in 5 revolutions?
Use n = 3.14 and round your answer to the nearest hundredth of an inch.
Answers
Answer:The unicycle would travel 226.29 inches in 6 revolutions.
Step-by-step explanation:
1.5+4=2.3−1.2 in decimal form
Answers
Answer:
5.5=1.1
Step-by-step explanation:
hope this helps:)
que es un plano cartesiano?
Answers
Use the distributive property to write an equivalent expression. 7(g+2h)
Answers
Answer:
7g+14h
Step-by-step explanation:
Distributive property means you will be multiplying each component by the value you are distributing in this case (7)(g)+(7)(2h) which yields 7g+14h
does anyone know how to solve this? pls leave instructions
Answers
Answer:
7.5
Step-by-step explanation:
In a shipment of 400 parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 1200?
Answers
1200 parts/ 400 parts = 3
12 parts x 3 = 36 parts
In 1200 parts, 36 would be bad.
(b) A farmer uses of his land to plant
cassava, of the remaining land to plant
maize and the rest vegetables. If
vegetables cover an area of 10 arces, what
is the total area of the farmer's land.
Answers
Answer:
Cassava = ⅓ or 33.333%
Maize = ⅔x⅔ = 44.444%
total so far =77.777%
Remaining vegetable area =(100–77.777%) = 22.222%
If remaining area vegetables = 22.222% = 10 acres
Maize = ⅔x⅔ = 44.444% or 20 acres
Cassava = ⅓ or 33.333% or 15 acres
Total land area = 45 acres.
Step-by-step explanation:
plzz help with this math due today
Answers
Answer:
20x⁴ - 13x³+ 8x² - x + 6
Step-by-step explanation:
Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.
___4x² - 5x + 3
___5x² + 3x + 2
* ____________
_________8x² - 10x + 6
______12x³-15x²+9x
_20x⁴-25x³+15x²
____________________
20x⁴ - 13x³+ 8x² - x + 6
___________________
hi hi hi hi it’s b right?
Answers
Answer:B
Step-by-step explanation: yes b as the x is always 50x greater than the Y
Answer: yes it’s B. My dear!
Step-by-step explanation: hope this helps :)
which of the following functions is graphed below?
Answers
Solve each equation. 15 = t - 25 m6 = 18 5d = 75 94 = g + 32
Answers
Answer:
1, t = 40
2, m = 3
3, d = 15
4, g = 62
Step-by-step explanation:
15 = t - 25
+25. +25
40 = t
M6/6 = 18/6
m = 3
5d/5 = 75/5
d = 15
94 = g + 32
-32. -32
62 = g
What is the answer to
-k - (-8k)
Answers
Answer:
if we simplify then the answer is 7k
Step-by-step explanation:
can someone please answer my question from my profile.
Answer:
7k
Step-by-step explanation:
A car travles at a speed of 44mph for 15 minutes. Calculate how far it travles.
Answers
Answer:
11 miles
Step-by-step explanation:
Answer:
11 m
Step-by-step explanation:
Speed = 44 mph
Time = 15 minutes = 15/60 = 1/4 hour
Distance = Speed * time
= 44 * [tex]\frac{1}{4}[/tex]
= 11 m
Tony took out a loan for 7000 that has a intrest rate of 7.5% compounded annually after 15 years how much will the total loan amount be After 15 years how much will tony pay in intrest
Answers
Answer:
$7875
Step-by-step explanation:
Interest is calculated by the formula: I = Prt
I (interest)
P (principle)
r (rate)
t (time)
Substitute
I = (7000)(0.075)(15)
I = 7875
Thus, our interest is $7875
[tex](5 - x)(x - 3)[/tex]
Answers
Answer:
15x
Step-by-step explanation:
because i multiply i side by side and copy the variable
Answer:
- x² + 8x - 15
Step-by-step explanation:
Given
(5 - x)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
5(x - 3) - x(x - 3) ← distribute parenthesis
= 5x - 15 - x² + 3x ← collect like terms
= - x² + 8x - 15 ← in standard form
Write a number with one decimal place, that is bigger than 5 1/3
but smaller than 5.5
Answers
Answer:
5.4......................
Answer:
5.4
Just say i did the question on MathsWatch
An African Elephant can eat 4,620 pounds of
food a week! If the elephant ate the same
amount of food each day that week, how many
pounds of food would he have eaten in a day?
Answers
Answer:
Step-by-step explanation:
660
Answer:
660 pounds
Step-by-step explanation:
Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]
[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]
[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]
[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]
[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]
[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]
[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]
[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]
[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]
[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]
[tex]\mathsf{3 + 5 = 8}[/tex]
[tex]\mathsf{2\ \& \ 2=2}[/tex]
[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]
[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Divide 144g in the ratio 7: 11
Answers
Answer:
88:56 = 11:7
Step-by-step explanation:
Step One
Add the two ratios together 11 + 7 = 18
Now set up a ratio to solve for 11 parts out of 18
11:18 = x:144 Proportion
11 / 18 = x / 144 Equation: Cross mulitiply
11*144 = 18x Combine the left side
1584 = 18x Divide by 18
1584 / 18 = x
88 = x
That is the larger amount (11 is larger than 7)
Find the smaller amount
144 - 88 = 56
The two amounts are in the ratio of 11:7
88:56 = 11:7
I hopes this helps a little bit
Answer:
56g and 88g
Step-by-step explanation:
7x+11x=144
18x=144
x=144/18
x=8
7x=7*8=56g
11x=11*8=88g
HELP PLEASEE PLEASE PLEASE!! It’s due by 10:20 !!
A cone has a height that is greater than the diameter of the base of the cone.
What is the shape of a cross section of the cone that contains the vertex of the cone and the diameter of the base?
А
right triangle
B.
obtuse triangle
С
scalene triangle
D
isosceles triangle
Answers
Answer:
its either b or d
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answers
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12