Answer:
D. 130
Step-by-step explanation:
The lines are tangent to the circle therefore 90º which makes 65º + 25º. The small triangle with C is iso so the angle of C would be 130 and equivalent to x
Answer:
[tex]D.\ \ 130[/tex]
Step-by-step explanation:
1. Approach
Refer to the attached diagram of the figure for further explanation. In this problem, one is asked to solve for the degree measure of arc (x). The easiest method to do so is to use the triangle (CAB). One can solve for the measure of angle (<CBA) by using the tangent to radius theorem. Then one can solve for the measure of angle (CAB) by using the base angles theorem. Then one can use the sum of angles in a triangle theorem to solve for angle (<BCA). Finally, one can use the central angles theorem to solve for the arc (x).
2. Find the measure of angles in the triangle
A. Find the measure of angle (<CBE)
As per the given image, lines (BE) and (AE) are tangent. This means that they intersect the circle at exactly one point. A radius is the distance from the center of a circle to the circumference or outer edge of a circle. All radii in a single circle are congruent. The radius of tangent theorem states that, when a tangent intersects a circle at a point of tangency, and a radius also intersects the point of tangency, the angle between the radius and the tangent is a right angle. One can apply this here by stating the following:
[tex]m<CBE = 90[/tex]
Express angle (<CBE) as the sum of two other angles:
[tex]m<CBE = m<CBA + m<ABE[/tex]
Substitute with the given and found information:
[tex]m<CBE = m<CBA + m<ABE[/tex]
[tex]90 = m<CBA + 65[/tex]
Inverse operations,
[tex]90 = m<CBA + 65[/tex]
[tex]25= m<CBA[/tex]
B. FInd the measure of angle (<CAB)
As stated above all radii in a single circle are congruent. This means that lines (CB) and (CA) are equal. Therefore, the triangle (CAB) is an isosceles triangle. One property of an isosceles triangle is the base angles theorem, this theorem states that the angles opposite the congruent sides of an isosceles triangle are congruent. Applying this theorem to the given problem, one can state the following:
[tex]m<CBA = m<CAB = 25[/tex]
C. Find the measure of angle (<ACB)
The sum of angles in any triangle is (180) degrees. One can apply this theorem here to the given triangle by adding up all of the angles and setting the result equal to (180) degrees. This is shown in the following equation:
[tex]m<CAB + m<CBA + m<ACB = 180[/tex]
Substitute,
[tex]m<CAB + m<CBA + m<ACB = 180[/tex]
[tex]25 + 25 + m<ACB = 180[/tex]
Simplify,
[tex]25 + 25 + m<ACB = 180[/tex]
[tex]50 + m<ACB = 180[/tex]
Inverse operations,
[tex]50 + m<ACB = 180[/tex]
[tex]m<ACB = 130[/tex]
3. Find the measure of arc (x)
The central angles theorem states that when an angle has its vertex on the center of the circle, its angle measure is equivalent to the measure of the surrounding arc. Thus, one apply this theorem here by stating the following:
[tex]m<ACB = (x)\\130 = x[/tex]
Please answer this and show the work/explain.
2/7m - 1/7 = 3/14
mean is 1250
variance is 120
finding the probability between 970 and 1320
[tex] find p{970 < x < 1320}[/tex]
Although you said the variance is 120, I suspect you meant to say standard deviation. If that's the case, then
P(970 < x < 1320)
= P((970 - 1250)/120 < (x - 1250)/120 < (1320 - 1250)/120)
≈ P(-2.3333 < z < 0.5833)
= P(z < 0.5833) - P(z < -2.3333)
≈ 0.72012 - 0.009815
≈ 0.7104
If you really did mean variance, then
P(970 < x < 1320)
= P((970 - 1250)/√120 < (x - 1250)/√120 < (1320 - 1250)/√120)
≈ P(-25.5604 < z < 6.3901)
= P(z < 6.3901) - P(z < -25.5604)
≈ 1 - 0
≈ 1
Question 2 Select the correct statement(s) about the Model Evaluation stage of the data science methodology.
Answer:
where is the whole question
90:120 table to garbage can?
Answer:
wto
Step-by-step explanation:
Đạo hàm của sin(x)+ 5 bằng bao nhiêu
Answer:
cos(x).
Step-by-step explanation:
Derivative of sin(x) + 5
= cos(x).
what is an example of a quintic bionomial?
What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?
Option 1 - StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.
Step-by-step explanation:
Given : Expression "six less than the quotient of a number and two, increased by ten".
To find : What is the expression and value of expression when n = 8?
Solution :
Let the number be 'n'.
The quotient of a number and two i.e. \frac{n}{2}2n
Six less than the quotient of a number and two i.e. \frac{n}{2}-62n−6
Six less than the quotient of a number and two, increased by ten i.e. \frac{n}{2}-6+102n−6+10
The required expression is \frac{n}{2}-6+102n−6+10 .
Now, when n=8,
\frac{n}{2}-6+10=\frac{8}{2}-6+102n−6+10=28−6+10
\frac{n}{2}-6+10=4-6+102n−6+10=4−6+10
\frac{n}{2}-6+10=82n−6+10=8
The value of the expression is 8.
Therefore, option 1 is correct.
StartFraction n Over 2 EndFraction minus 6 + 10; when n = 8, the value is 8.
What is
88x3-7+198-34x15+76-126=
-105
Multiply first, then subtract, then add.
Answer: the answer would be -105.
A 5 ounce bottle of juice cost $1.35 and an 8 ounce bottle of juice cost $2.16 a what is the unit cost per ounce of juice and b what is the better buy
Answers:
First bottle's unit cost = 27 cents per oz
Second bottle's unit cost = 27 cents per oz
Both have the same unit cost.
----------------------------------------
Work Shown:
unit cost = price/(number of ounces)
1st bottle unit cost = (1.35)/(5) = 0.27 dollars per oz = 27 cents per oz
2nd bottle unit cost = (2.16)/(8) = 0.27 dollars per oz = 27 cents per oz
Both lead to the same unit cost. Therefore, you can pick either option and it doesn't matter.
What is a the answer??
Answer:
First one=120,138 Second one=477,900
Step-by-step explanation: For the first one use subtraction, and for the second one use multiplication. Such as multiplying each digit of 6,372 by 7 and by 5. The top one is pretty self explanatory.
What is the three hundred and twenty six to the nearest ten
Hi there!
»»————- ★ ————-««
I believe your answer is:
330
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We are rounding the number 326 to the nearest tens.
The '2' is in the tens place, and the '6' is to the right of the digit.
Since the '6' is greater than or equal to 5, then we would round up.
326 ≈ 330
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Levi decides to examine the effect of fertilizer on the growth of tomato plants. He chooses four plants for his experiment and applies varying amounts of fertilizer to three of them. He does not apply fertilizer to one plant.
Over a 15-day period, the plants receive fertilizer on Days 1, 4, 7, 10, and 13. Levi measures the height of all of his plants with a meterstick on Days 3, 6, 9, 12, and 15. He also makes sure to hold all experimental factors constant except for the fertilizer.
What is the dependent variable in Levi's experiment on tomato plants?
the amount of fertilizer given to the plants
the measurements of plant height
the days fertilizer was applied
the days plant height was measured
Answer:
Number 1
Step-by-step explanation:
I can answer the first one! The dependent variable is the measurement. The days in the independent and always the X variable
Answer:
Step-by-step explanation:
The measurement of the plant height. That (presumably) is dependent on the amount of fertilizer. Everything else is held constant (such amount of water, amount of sunlight, even distance from a window (constant heat), is held the same for all plants.
Help me because I dont understand
Answer:
105 sq ft + 31 sq ft
Step-by-step explanation:
= 136 sq ft
Hope it helps✌✌
A triangle has two sides of lengths 8 and 10. What value could the length of
the third side be? Check all that apply.
Answer:
8, 10, 4, 7
Step-by-step explanation:
Missing side = x
Rules for x:
It should be less than the sum of the other two sides
It should be greater than the difference of the other two sides
8 + 10 = 18
10 - 8 = 2
2<x<18
8, 10, 4, 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the area of the triangle
in square inches.
height 110 in.
length 1.5 ft
9514 1404 393
Answer:
990 square inches
Step-by-step explanation:
The area is the half the product of length and height.
A = (1/2)(18 in)(110 in) = 990 in²
The area of the triangle is 990 square inches.
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Chapter 11 part 3:
Of the three functions {f(x), g(x), h(x)} featured on the graph below (on the following page), rank the functions in order of greatest rate to least.
9514 1404 393
Answer:
f, h, g
Step-by-step explanation:
You can look at the slope of the tangent lines to the graphs at any given x-value. At x=5, we see that g(x) is the flattest curve and f(x) is the steepest.
In order from greatest to least growth rate, the functions are ...
f(x), h(x), g(x)
There is a circle with a center of 0,0 on a coordinate plane. There is one point on the circle's circumference in which the x:y ratio is 3:1. What is a possible coordinate?
Answer:
Step-by-step explanation:
Suppose the radius is 1. The parametric equations for the circle are
x = cosθ
y = sinθ
x:y = 3:1
tanθ = ⅓
cosθ = 3/√(1²+3²) = 3/√10
sinθ = 1/√10
The solutions are (3/√10, 1/√10) and (-3/√10, -1/√10).
The PTA sells 100 tickets for a raffle and puts them in a bowl. They will randomly pull out a ticket for the first prize and then another ticket for the second prize. You have 10 tickets and your friend has 10 tickets. What is the probability that your friend wins the first prize and you win the second prize?
What is the area of the trapezoid shown below?
2
15
12
help fast please!!!
Answer:
78 units2
Step-by-step explanation:
The Area of the triangle is 54 units2
The rectangle on the side has an area of 24 units2.
Add them together, and you get 78.
I hope this helps!
pls ❤ and give brainliest pls
Factor completely 12a^3d^2 – 6ad^3
Answer:
[tex]12a^3d^2-6ad^3[/tex]
To factor an integer, we need to divide it by the ascending sequence of primes 2, 3, 5
In the end, the number of times each prime divides the original integer becomes its exponent.
Prime number 2 to the power of 2 equals 4 .
Prime number 3 to the power of 1 equals 3 .
[tex]2^{2} \times 3\times a^{3} \times b^{2} -(2\times3)ad^{3}[/tex]
Result:- [tex]6ad^2\left(2a^2-d\right)[/tex]
OAmalOHopeO
A region c
B region d
C region a
D region b
Answer:
Region C
Step-by-step explanation:
y ≤ ¼ x + 3 maps the areas C and D including the common boundary line
y ≥ -x + 5 maps the areas B and C including the common boundary line
The common area mapped is C plus its boundaries
What are the zeros of , where
? help please need some help someone help please
[tex]{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: given \\ \\ \rm \: f(x) = ( {x}^{2} + 16)( {x}^{2} - 9) \\ \\ \bf \: for \: zeroes \\ \\ \pink{ \boxed{\boxed{\begin{array}{c | c} \bf \: {x}^{2} + 16 = 0 & \bf \: {x}^{2} - 9 = 0 \\ \\ = > {x}^{2} = - 16& {x}^{2} = 9 \\ \\ = > x = \pm \sqrt{ - 16} &x = \pm \: \sqrt{9} \\ \\ = > x = \pm \sqrt{ {i}^{2} {4}^{2} } &x = \pm \: \sqrt{ {3}^{2} } \\ \\ = > x = \pm \: 4i&x = \pm3 \end{array}}}} \\ \\ \rm \: x = \pm3 \: and \pm \: 4i\end{array}}}}[/tex]
Option A is the correct answer
Help me with this question please...
Each of the following statements is true or false. Which statements are true?
A. A triangle where at least two angles are acute is called an acute triangle.
B. Some polygons are neither convex nor concave.
C. The sum of the interior angles of a concave pentagon is $540^{\circ}.$
D. The interior angles of a regular $1000$-gon are greater than the interior angles of a regular $100$-gon.
E. The exterior angles of a regular $1000$-gon are greater than the exterior angles of a regular $100$-gon.
9514 1404 393
Answer:
A. False
B. False
C. True
D. True
E. False
Step-by-step explanation:
A. False -- any triangle has at least two acute angles, whether it is acute, right, or obtuse.
B. False -- by definition, any polygon that is not convex is concave.
C. True -- the angle sum is the same regardless of whether the pentagon is convex or concave. (Provided it is a "simple" polygon, with no crossing sides.)
D. True -- the measure of the interior angle of a regular polygon increases as the number of sides increases. (see E)
E. False -- the exterior angles of a regular polygon are 360° divided by the number of sides. As the number of sides increases, the measure of each exterior angle decreases. (Interior angles are the supplement of exterior angles, so they increase as the number of sides increases.)
HaLP a beggar in need
Answer:
C) 2
Step-by-step explanation:
From the point (2,0), the next point on the graph is up 2, right 1, meaning that the slope is a positive 2.
Plz help!
Determine the expression for the perimeter of a rectangle with a length that is five less than twice its width
Answer:
P= 6w - 10
P= 2(L+W)
L= 2w-5
P= 2(2w -5+w)
P=2(3w-5)
P= 6w - 10
28. A boy decided to cut 10 pieces of wood from a length of wood so tha the first piece was 5cm the second 10cm, the third 15cm, the fourth 20cm and so on until he had cut TO pieces, each one 5cm longer than the one he had cut before. What length of the wood did he use? (a) 50cm (b) 55cm (c) 70cm (d) 200cm (e) 275cm
Step-by-step explanation:
he use 50cm length of the wood
Solve this inequality: x+ 4< 16
Answer:
x < 12
Step-by-step explanation:
subtract 4 from both sides:
x + 4 < 16
- 4 -4
x < 12
Answer:
x<4
Step-by-step explanation:
x+4 <16
x < 16
4
x<4
I hope this will help you
How to do this question?
Answer:
40
Step-by-step explanation:
2x² - 5y + 7 when x = 2 and y = -5
2(2)² - 5(-5) + 7
= 2(4) -5(-5) + 7
= 8 + 25 + 7
= 40
Let X1 and X2 be independent random variables. Suppose the mean and variance of X1 are 1 and 1, respectively. Suppose, the mean and variance of X2 are 4 and 8 respectively. What is the standard deviation of X2 - 3X1
Since X₁ and X₂ are independent, we have
Var[X₂ - 3X₁] = Var[X₂] + (-3)² Var[X₁]
Var[X₂ - 3X₁] = 8 + 9 × 1
Var[X₂ - 3X₁] = 17
Then the standard deviation of X₂ - 3X₁ is the square root of the variance, √17.
Multiplying and bmbFREE BRAINLIST AND POINTS!! Fast! RIGHT ANSWERS ONLY! Scam and wrong answers will be reported and dealed with.
1. 6x(-4)=
3. (-11) x 5=
4. (-12) x (-7)=
5. (-2) x (-10)
6. 4 x (-15)=
Answer:
Step-by-step explanation:
-24
-55
84
20
-60