The measure of angle BCD in circle A is 74°.
What is a circle?A circle is the locus of a point such that its distance from a fixed point is constant.
From the circle:
BC = CD (tangents that meet at the same point are equal)
But ∠ABC = 90° (angle between tangent and radius)
In triangle ABC:
∠ABC + ∠BCA + ∠BAC = 180 (triangle)
90 + ∠BCA + 53 = 180
∠BCA = 37°
Hence:
∠BCA = ∠ACD = 37°
angle BCD = ∠BCA + ∠ACD = 37 + 37 = 74°
The measure of angle BCD in circle A is 74°.
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....................
Answer:
?
Step-by-step explanation:
HELP ASAP PLEASE
Given the inequality 5(n − 4) < 4(n + 15), determine which integer makes the inequality false.
S:{80}
S:{15}
S:{5}
S:{−9}
Answer:
-9
Step-by-step explanation:
5(-9-4)
5(-13)
-65
4(-9+15)
4(6)
24
-65<24 so -9 is false because -65 is not smaller than 24
The solution is Option A.
The value of n which makes the inequality 5 ( n − 4 ) < 4 ( n + 15 ) false is when n = 80
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is given by
5 ( n − 4 ) < 4 ( n + 15 )
Now , on substituting the value of n as 80 in the inequality equation , we get
5 ( n − 4 ) < 4 ( n + 15 )
when n = 80
5 ( 80 - 4 ) < 4 ( 80 + 15 )
5 ( 76 ) < 4 ( 95 )
380 = 380
So , the inequality will become false as the two sides of the equation will result in value 380 when n = 80
Hence ,
The value of n = 80 in the inequality equation 5 ( n − 4 ) < 4 ( n + 15 ) will make it false
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Please elaborate
\(Simplify (2x-7)(x+3)-(-3x^{2} -4)\)
Answer:
\(5x^2 - x - 17\)
Step-by-step explanation:
Distribute the terms inside the first set of parentheses:
\((2x - 7)(x + 3) = 2x^2 + 6x - 7x - 21\)
Combine like terms:
\(= 2x^2 - x - 21\)
Simplify by adding the second part:
\(2x^2 - x - 21 - (-3x^2 - 4)\)
Subtracting a negative is the same as adding the positive equivalent:
\(= 2x^2 - x - 21 + 3x^2 + 4\)
Combine like terms:
\(= 5x^2 - x - 17\)
(2x-7)(x+3)-(-3x^[2] - 4)
====
5x^[2] -x -17
To begin simplifying this expression, we will foil the first half of it:
(2x-7)(x+3)
2x*x + 2x*3 - 7*x - 7*3
2x^[2] + 6x - 7x - 21
With this, we combine like terms:
2x^[2]-x-21
We now have
2x^[2]-x-21-(-3x^[2]-4)
We can now do the binomial distribution in the second half of the expression. Remember, the - sign in front of the parentheses means we are negating everything inside. In other words, we are multiplying -1 by everything inside the parentheses. Following this:
-(-3x^[2]-4) becomes
-1*-3x^[2] + -1*-4 = 3x^[2]+4
We have now simplified the first and second half of our expression, so we have:
2x^[2]-x-21+3x^[2]+4
And combining like terms we get
2x^[2]+3x^[2]-x-21+4 =
5x^[2] -x -17
We can use the quadratic expression to determine if the trinomial can be factored evenly, but it cannot so we have our final simplifed expression!
help ASP NEEDS DONE HELPPPPPPP
1-3
2-6
3-9
4-12
5-15
6-18
7-21
8-24
Answer:
1-3
2-6
3-9
4-12
5-15
6-18
7-21
8-24
Step-by-step explanation:
you can give the other person brianlest
The sum of two mixed numbers with unlike denominators is 5 3/5. What might the two mixed numbers be? Show as many different solutions as you can.
https://www.calculatorsoup.com/calculators/math/mixednumbers.php
this site is a fraction calculator, it what i use try it!
three college students drove from indiana to nebraska. marta drove 2/5 of the distance. Marilyn drove 36% of the distance and Michell drove 0.24 of the distance. Which student drove the farthest.
Anwser marta drove the farthest
Step-by-step explanation:
marta drove 2/5 of the distance which in percent is 40%
marilyn drove 36%
and michell drove 0.24 which is the same as 24%
Before you multiply or divide a fraction by a mixed number, you have to make sure they are both in the same___________?
Answer:
Step-by-step explanation:
form. Meaning you need make both fractions improper
Pablo has 20 balloons for his party. He will either take 2 for a stack or 3 for a stack. How many more stacks will Pablo need if he takes 3 on each stack?
Find x and y. pls help
Answer:
y = 21
x = 8
Step-by-step explanation:
AB = 180
27 + 3y = 90°
-27 -27
-----------------------
3y = 63
÷3 ÷3
--------------
y = 21
x + 27 + 3y + 8x + 18 = 180
9x + 45 + 3(21) = 180
9x + 45 + 63 = 180
9x + 108 = 180
-108 -108
-----------------------
9x = 72
÷9 ÷9
----------------
x = 8
I hope this helps!
PLS HELP QUESTION ON PIC PLSSSSSSSSSSSSSS
Answer:
Step-by-step explanation:
$3.50
50*.07=3.5
Answer:
3.5
Change 7% as a fraction
7%=7/100
Multiply 7/100*50
350/1003.5
Step-by-step explanation: Hope thish helps . Mark me brainliest!
Help me please I give more points
Answer:
D; 100 Feet
Step-by-step explanation:
There are 60 seconds in 1 minute. Therefore, we are working with 360 seconds.
To find a ratio, we want to divide 360 by 20, which is 18.
There are 3 feet in 1 yard. Therefore, we are working with 1800 feet in total. Since our ratio is 18, we will divide 1800 by 18 to get 100 feet.
Therefore, we are traveling 100 feet every 20 seconds.
Answer: 40 feet i think
Step-by-step explanation:
drinking water from a glass. What represents the volume and what represents the surface area?
If you take a certain number and write a 9 to the right of it and add the doubled certain number to the result, the sum will be equal to 633. Find the certain number.
Hello,
let's say x is a certain number
10*x+9+2x=633
12x=624
x=52
Proof:
529+104=633
PLEASE HELP ME SOLVE THESE!
-3n-4n-17=25
-15+7.5(2d-1)=7.5
Please show me how as well please :)
Answer:
-3n-4n = 25 + 17
-7n = 42
n= -6
the main thing for here is to combine the like terms and to solve for n which is done by putting all the numbers with variables on one side and the non variables on the other and divide each side by the number that has the variable. Remember that when you bring numbers on the other side, you change its sign, for example if you have 5 on one side and you bring to the other side of the equal sign it becomes -5.
-15 + 15d -7.5d =7.5
15d - 7.5d = 7.5 + 15
7.5d = 22.5
d = 3
for the part where theres 7.5(2d-1)
you multiply each number inside the bracket by 7.5, its called distributivity of multiplication
hope that answers your question
hope you understand what i wrote lol
good luck:)
Answer:
Question 1
Original Equation:
-3n-4n-17=25
Add 17 to both sides (cancels out the -17)
-3n-4n=42
Combine -3n and -4n.
-7n=42
Divide by -7
n = -6
Question 2
Original Equation:
-15+7.5(2d-1)=7.5
Distribute:
-15+15d-7.5=7.5
Add 7.5 to both sides:
-15+15d=15
Add 15 to both sides:
15d=30
Divide by 15:
d = 2
Let me know if this helps!
ILL GIVE 50 + 25 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
x is indirectly proportional to y, if x = 32 and y = -10, write the proportional constant and equation. Then if y = -51, find x.
TYVM!!
Answer: 10
Step-by-step explanation:
add subtract and add again
A local animal rescue has 20 people that help foster pets while they are
waiting on finding their homes. They expect to gain two additional people
willing to foster animals each month. The amount of animals in need of
homes in the community is currently 10 and growing at a rate of 15% per
month. When will the amount of homeless pets surpass the amount of foster
homes available?
A) Write the two functions that represent this situation.
B) Create a table of values for x=0 to x=13.
C) Approximate the solution(s). Why is this the approximate solution?
D) Using graph paper (and the table of values), sketch the situation to
show the exact solution.
Answer:
A) Let f(x) represent the number of foster homes available after x months, and let g(x) represent the number of homeless pets after x months.
f(x) = 20 + 2x (since 2 additional people are expected to foster each month)
g(x) = 10(1.15)^x (since the number of homeless pets is growing at a rate of 15% per month)
Create an equation that could be used to model the following scenario:
Alana spent half of her monthly income to pay for her cell phone bill. She then had to spend $38 to put gas in her car. She now has $17 left. How much money did she start the month with?
Answer: ( 38+17)x2=N
the answer in this equation is 110
Step-by-step explanation:
Old Value: 5
New Value: 16.1
222% increase
Old Value: 40
New Value: 57.6
44% increase
Old Value: 60
New Value: 63.6
6% increase
Old Value: 110
New Value: 13.2
88% decrease
You bought some jeans for $55. Today they were on sale for $49.50. What was the percent decrease in price?
10% decrease
Explain how you these answers are right
Answer:
Step-by-step explanation:
Profit % = \(\frac{New Value - Old Value}{Old value}\)x 100
Loss % = \(\frac{Old Value-NewValue}{Old Value}\)
Profit % = \(\frac{16.1-5}{5}\) × 100
= \(\frac{11.1}{5}\) x 100
= 11.1 x 20
= 222% increase
∴ Hence, proved that the answer is correct.
Profit % = \(\frac{57.6-40}{40}\)×100
= 44% increase
∴ Hence, proved that the answer is correct.
Profit % = \(\frac{63.6-60}{60}\)x 100
= 6% increase
∴ Hence, proved that the answer is correct.
Loss % = \(\frac{110-13.2}{110}\)x 100
= 88% decrease
∴ Hence, proved that the answer is correct.
Loss % = \(\frac{55-49.5}{55}\)x 100
= 10% decrease
∴ Hence, proved that the answer is correct.
Hope it helped. Pls mark me the BRAINLIEST! For all the writing and you understanding :)
Answer:
Step-by-step explanation:
Old Value: 5
New Value: 16.1
16.1-5=11.1
11.1 divided by 5= 2.22
2.22/1 x 100=222%
222% increase
Old Value: 40
New Value: 57.6
57.6-40=17.6
17.6 divided by 40= 0.44
0.44/1 x 100= 44%
44% increase
Old Value: 60
New Value: 63.6
63.6-60=3.6
3.6 divided by 60= 0.06
0.06/1 x 100= 6%
6% increase
Old Value: 110
New Value: 13.2
13.2-110= -96.8
-96.8 divided by 110= -0.88
-0.88/1 x 100= 88%
88% decrease
You bought some jeans for $55. Today they were on sale for $49.50. What was the percent decrease in price?
49.50-55= -5.5 -5.5 divided by 55= -0.1 -0.1/1 x 100=10% 10% decrease
show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.
An isosceles triangle has 2 sides that are equal.
I plotted these points. See attached screenshot.
The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.
The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.
These two sides make a right triangle and are equal length. This is an isosceles right triangle.
please help!
Try to solve the equation below.
2x^2+18=10
Explain why this equation has no real number solutions.
Answer:
Step-by-step explanation:
The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:
D= 0-(4*2*18) --> which is clearly negative
When D is less than 0, the equation has no real number solutions.
Therefore, \(2x^{2}+18=0\) has no real roots
Answer:
Step-by-step explanation:
0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)
The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2
Answer:
B.y=-2(x+3)2-2
Step-by-step explanation:
A if false beacuse you have to put (-3,-2) into all of your equations
B is correct
C is false
D is also false
What is the median?
6 1 2 9 8 4
Answer:
5 U•ェ•*U
Step-by-step explanation:
8.3x10 of a 6 would be 8,300,000 you welcome
Answer:
Correct
Step-by-step explanation:
This figure has an area of____in^2
--Answer--
\(5\sqrt{2}\) or 7.0710... (7.1)
--Explanation--
If you look closely the triangle on the left could be moved to the space on the right of the shape.
Then, the edges would be 10 inches (top) and 5 inches (sides).
From there, you multiply 10 x 5 to get 50. If you want the square root, you do \(\sqrt{50}\) which is how I got 7.071067812, or 7.1, which was rounded to the nearest tenth.
Neela has three ribbons with lengths of 27.6 cm, 47.3 cm, and 39.8 cm. What is the sum of the lengths of ribbon Neela has?
I NEED ANSWERS ASAP!
WILL GIVE BRAINLIEST
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
Sum of lengths of ribbon Neela has :
\({ \textsf {length( ribbon 1 + ribbon 2 + ribbon 3)}} \)
\(\qquad \sf \dashrightarrow \: 27.6 + 47.3 + 39.8\)
\(\qquad \sf \dashrightarrow \:114. 7 \: \: cm\)
so, the sum of lengths of ribbon Neela has is : 114.7 cm
In metre : 1.147 m
Answer:
114.7 cm.
Explanation:
27.6 + 47.3 + 39.8 = 114.7.
Which ordered pair is a solution of the equation? 2x+4y=6x−y
Answer:
Step-by-step explanation:
"Which ordered pair" implies that there were several answer choices for this problem. It's important that you share such answer choices.
2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x
If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation. There are an infinite number of such solutions. All lie on the line y = (8/5)x.
If xx and y vary directly and y is 21 when x is 7, find y when x is 5
Answer:
y = 15
Step-by-step explanation:
We need to solve for k
y = x
21 = 7k Divide both sides by 7 to solve for k
3 = k
y = xk
y = 5(3)
y = 15
Answer: y = 15
Step-by-step explanation:
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
Using a proportion, how can we find 12% of 125? Please show your proportion set up and all work. HELP ME ASAPPPPPPPPP THE CORRECT ANWSER GETS A BRAINLIST I HAVE 3MINS SOMEONE PLEASE!!!!!
Answer: 15
Step-by-step explanation:
Write 12% as a fraction: 12/100
Since, finding the fraction of a number is same as multiplying the fraction with the number, we have: 12/100 of 125.
12/100 × 125
If you are using a calculator, enter 12÷100×125 which will give you 15 as the answer.
MARKING BRAINLIEST PLEASE ONLY ANSWER IF 100% CORRECT,WICH ANSWER DO I PICK
Answer:
26x18
Step-by-step explanation:
Answer:
The last one, 26*18
Step-by-step explanation:
(20+6)*(10+8)
26*18