Could someone please help on this question? I’m giving 20 points and brainliest but I need it quickly so please help!
Answers
=============================================
Explanation:
Refer to the diagram below. I'm adding in points A and B, which are marked in blue. I'm also adding in variables x, y, and z.
The goal is to find HF, so let's make that equal to x. This is also equal to HB because they are radii of the same circle.
Let y be the length of segments JA and JB.
Let z be the length of segments CF and CA.
So in short we have
x = HF = HBy = JA = JBz = CF = CAWe know that
CH = 13HJ = 19CJ = 22This must mean
CH = CF+HF = z+x = 13HJ = HB+JB = x+y = 19CJ = CA+JA = z+y = 22Or in short,
z+x = 13x+y = 19z+y = 22Let's solve the first equation for z to get z = -x+13. I subtracted x from both sides.
Now plug this into the third equation to get
z+y = 22
(z) + y = 22
(-x+13) + y = 22 ... replace z with -x+13
-x+13+y = 22
-x+y+13 = 22
-x+y = 22-13 .... subtract 13 from both sides
-x+y = 9
------------------------------------
So we have this reduced system of equations of two variables and two equations
x+y = 19 ... found earlier-x+y = 9 .... what we just found aboveAdd the equations straight down. This is the elimination property.
Doing so leads to the x terms canceling out since x + (-x) = 0x = 0
The y terms add to y+y = 2y
The terms on the right hand side add to 19+9 = 28
We are left with 2y = 28 which solves to y = 28/2 = 14.
If y = 14, then,
x+y = 19
x+14 = 19
x = 19-14
x = 5
In which we can then say
z = -x+13
z = -5+13
z = 8
Though we don't need to find z (unless you're curious about it).
Since x = 5, and we set HF equal to x, this means that HF = 5.
Related Questions
Which expression is equivalent to 6x+7-12*2-(3 to the power 2 +3)-x
Answers
Step-by-step explanation:
Questions about equivalent expressions usually feature both simple expressions and complex expressions. To check which complex expression is equivalent to the simple expression:
Distribute any coefficients: a(bx\pm c)=abx\pm aca(bx±c)=abx±aca, left parenthesis, b, x, plus minus, c, right parenthesis, equals, a, b, x, plus minus, a, c.
Combine any like terms on each side of the equation: xxx-terms with xxx-terms and constants with constants.
Arrange the terms in the same order, usually xxx-term before constants.
If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Example
How do we solve for unknown coefficients?
Some questions will present us with an equation with algebraic expressions on both sides. On one side, there will be an unknown coeffient, and the question will ask us to find its value.
For the equation to be true for all values of the variable, the two expressions on each side of the equation must be equivalent. For example, if ax+b=cx+dax+b=cx+da, x, plus, b, equals, c, x, plus, d for all values of xxx, then:
aaa must equal ccc.
bbb must equal ddd.
To find the value of unknown coefficients:
Distribute any coefficients on each side of the equation.
Combine any like terms on each side of the equation.
Set the coefficients on each side of the equation equal to each other.
Solve for the unknown coefficient.
Example
How do we rearrange formulas?
Formulas are equations that contain 222 or more variables; they describe relationships and help us solve problems in geometry, physics, etc.
Since a formula contains multiple variables, sometimes we're interested in writing a specific variable in terms of the others. For example, the formula for the area, AAA, for a rectangle with length lll and width www is A=lwA=lwA, equals, l, w. It's easy to calculate AAA using the formula if we know lll and www. However, if we know AAA and www and want to calculate lll, the formula that best helps us with that is an equation in which lll is in terms of AAA and www, or l=\dfrac{A}{w}l=
w
A
l, equals, start fraction, A, divided by, w, end fraction.
Just as we can add, subtract, multiply, and divide constants, we can do so with variables. To isolate a specific variable, perform the same operations on both sides of the equation until the variable is isolated. The new equation is equivalent to the original equation.
The value of equivalent expression is,
⇒ 5x - 29
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 6x + 7 - 12 × 2 - (3² + 3) - x
Now, We can simplify as;
⇒ 6x + 7 - 12 × 2 - (3² + 3) - x
⇒ 6x + 7 - 24 - (9 + 3) - x
⇒ 6x + 7 - 24 - 12 - x
⇒ 5x - 29
Thus, The value of equivalent expression is,
⇒ 5x - 29
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the house on one side of Elm Street follows a pattern the first five houses are numbers 41, 47 53, 59 and 65 if the pattern continues which of the following could be a house number on Elm Street. A- 75, B- 77, C- 81, D- 87
Answers
Step-by-step explanation:
Notice that:
47 - 41 = 6,53 - 47 = 6,59 - 53 = 6, 65 - 59 = 6.Every house number on the side of Elm Street is 6 more than the previous one.
If we continue this pattern, we will see the following house numbers:
65 + 6 = 71,71 + 6 = 77,77 + 6 = 83,83 + 86 = 89.Out of the options given, the only one whose number is on the side of Elm Street is 77. (B)
ASSESSMENT
Find the missing term:
1. 3:5= N: 15
2. N: 12-8: 24
3. 15: n= 60: 20
4. 9: 5= 27: n
5. 112: 24= N: 336
Answers
1. 9
2. 4
3. 5
4. 15
5. 1568
A total of 80 people were surveyed. The following Venn diagram shows the
number of people who like cats and who like dogs.
Cats 24
Dogs 32
Both 17
24
17
32
7
What is the probability that someone likes dogs, assuming that they also like
cats? Answer choices are in a percentage format, rounded to the nearest whole
number.
Answers
Answer:
41% is the percent
The probability that people who like dogs also like cats is 3 after rounding the nearest whole number and in percentage, it is 0.03%.
Probability is the ratio of the number of favorable outcomes and a total number of outcomes. it deals with finding out the likelihood of the occurrence of an event.
Given that,
In the Venn diagram
People like cats = 24
people like dogs = 32
People like dogs and cats both = 17
people don't like both = 7
Here total number of people = 24 + 32 + 7
= 63
So the total outcomes = 63.
Since the number of people who like dogs and cats both is 17.
So the favorable outcomes = 17
The probability that the people who like dogs also like cats
[tex]= \frac{63}{17}[/tex]
≈ 3.07
After rounding to a nearest whole number
≈ 3
The percentage is 0.03%.
Hence,
The probability that people who like dogs also like cats is 3 after rounding the nearest whole number and in percentage, it is 0.03%.
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1/8 times 4/4 pls hurry
Answers
Answer:
its .125
edit: .125 = 1/8th
Step-by-step explanation:
4/4 is 1 times .125=1/8th
4/32
Simplified :
1/8
-6(y + 15) = -3y + 6
What value of y makes the equation true? Enter the answer in the box.
Answers
Answer:
y = −32
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What is £108.72 rounded to the nearest pound?
Answers
Answer:
£109
Step-by-step explanation:
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
Answer: is, £109, rounded to the nearest pound.
What is round off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
here, given that,
£108.72 has to be rounded off.
we know,
Anything at or above 50 gets rounded up.
49 and below gets rounded down.
hence, Answer: is, £109, rounded to the nearest pound.
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Look at the figure below:
An image of a right triangle is shown with an angle labeled y.
If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b
cos y° = 6a
cos y° = 6b
cos y° = b divided by 6
Answers
Answer:
The third one is the answer
Building B; it is around 16.35 feet taller than building A
Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?
cos y° = 6 divided by b cos y° = 6a cos
If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?
24 units
Using the understanding of trigonometric ratios, cos y = b/6.
What are trigonometric ratios?The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
tan y = a/b
sin y = a/6
tan y = sin y/ cos y
cos y = sin y /tan y = (a/6)/(a/b) = b/6
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The ratio of red jellybeans to purple jellybeans is 9:5. What fraction of the jellybeans are red?
Please the first person who does it gets brainliest!
Answers
the answer is 4/5 i don't know
How many lines of symmetry does the figure below have?
2
4
1
3
Answers
Answer:
Ofcourse yar 4 lines of symmetry
Need help and explain please!!
Answers
Answer:
[tex]x=-4\text{ and } x=3[/tex]
Step-by-step explanation:
We are given the second derivative:
[tex]g''(x)=(x-3)^2(x+4)(x-6)[/tex]
And we want to find its inflection points.
To do so, we will first determine possible inflection points. These occur whenever g''(x) = 0 or is undefined.
Next, we will test values for the intervals. Inflection points occur if and only if the sign changes before and after the point.
So first, finding the zeros, we see that:
[tex]0=(x-3)^2(x+4)(x-6)\Rightarrow x=-4, 3, 6[/tex]
So, we can draw the following number-line:
<----(-4)--------------(3)----(6)---->
Now, we will test values for the intervals x < -4, -4 < x < 3, 3 < x < 6, and x > 6.
Testing for x < -4, we can use -5. So:
[tex]g^\prime^\prime(-5)=(-5-3)^2(-5+4)(-5-6)=704>0[/tex]
Since we acquired a positive result, g(x) is concave up for x < -4.
For -4 < x < 3, we can use 0. So:
[tex]g^\prime^\prime(0)=(0-3)^2(0+4)(0-6)=-216<0[/tex]
Since we acquired a negative result, g(x) is concave down for -4 < x < 3.
And since the sign changed before and after the possible inflection point at x = -4, x = -4 is indeed an inflection point.
For 3 < x < 6, we can use 4. So:
[tex]g^\prime^\prime(4)=(4-3)^2(4+4)(4-6)=-16<0[/tex]
Since we acquired a negative result, g(x) is concave down for 3 < x < 6.
Since the sign didn't change before and after the possible inflection point at x = 3 (it stayed negative both times), x = -3 is not a inflection point.
And finally, for x > 6, we can use 7. So:
[tex]g^\prime^\prime(7)=(7-3)^2(7+4)(7-6)=176>0[/tex]
So, g(x) is concave up for x > 6.
And since we changed signs before and after the inflection point at x = 6, x = 6 is indeed an inflection point.
If Joe had 2 apples and his friend gave him 5 more how many apples would Joe have?
Answers
Answer: Joe would have 7 apples.
Step-by-step explanation:
Joe had 2 apples, and he got 5 more. Because of this, we have to do 2 + 5.
2 + 5 = 7
Joe would have 7 apples.
If 24 is increased to 60. Find the percent increase.
Answers
Explaination: Convert the fraction to a decimal, then multiply by
100
Hi, a recipe calls for 1/2 cups of flour. How much flour should be used if only half of the recipe is to be made. Thank You.
Answers
Answer:
¼ cup of flour
Step-by-step explanation:
½ of ½ cup = ½×½ cup = ¼ cup
Answer:
1/4 cup of flour
Step-by-step explanation:
If you are doing half the recipe, and the recipe calls for 1/4 cup of flour, you divide the recipe (And portions), in two. So, half of 1/2 is 1/4,
The wheels on an adult size 4-wheeler has a radius of 14 inches. What is the distance the wheel will travel in one full rotation?
Answers
Distance cover in full rotation is 87.92 inches
Full rotation distance:Given that;
Radius of wheel = 14 inches
Find:
Distance cover in full rotation
Computation:
Distance cover in full rotation = Circumference of wheel
Distance cover in full rotation = 2πr
Distance cover in full rotation = 2(3.14)(14)
Distance cover in full rotation = (6.28)(14)
Distance cover in full rotation = 87.92 inches
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Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain
Answers
Answer:
No, he is going to have $496, which is $4 dollars less than what he wanted.
Step-by-step explanation:
Mr. Ailey gave his class 45 minutes to read. Davida reads 27 3/4 pages in that time. At what rate, in pages per hour, did Davida read?
A 42
B 36
C 34
D 37
Answers
Answer:
37 pages per hour
Step-by-step explanation:
Given that :
Time Given to read = 45 minutes ; 45 / 60 = 0.75
Number of pages readable ad by Davida within the given time frame = 27 3/4 pages
David's reading rate in pages per hour :
Number of pages read / time taken (hrs)
[27 3/4] ÷ (45/60)
[111 / 4] ÷ (45/60)
(111 / 4 ) * (60/45)
(111 * 60) / (4 * 45)
6660 / 180
= 37 pages per hour
Kandice can bake 48 cakes in 6 days. How many cakes can she make in 4 days?
Answers
8 x 4 = 32
She can bake 32 cakes
Answer:
32 cakes
Step-by-step explanation:
Divide 48 by 6 = 8
8 x 4 = 32
Given the sequence 2, 3, 4, 5, ...., where x = 0, 1, 2, 3, ...., what is the first term in the sequence?
2
3
4
5
Answers
Answer:4
Step-by-step explanation:
Answer:
gnkñmbklkjv nh m knvgiffifgyjbnbn
gjekk ñunvfjm hglvfhmngbk
Helppppp pleaseeee xxxx
Answers
Answer: a) one central angle is QPR
b) arc QTS is a semicircle
c) arc QR is a major arc
d) arc QTR = 235
e) arc QR = 125
Step-by-step explanation:
A central angle is an angle with its vertex as the midpoint of the circle.
A semicircle is half of a circle. Segment QS goes through the midpoint P splitting the circle in half : arc QTS and arc QRS are both semicircles.
The degree of a central angle is equal to the arc it encompasses. Central angle QPR is equal to 125, therefore arc QR is equal to 125 as well.
Given this information we can now find the remaining arc QTR. A circle is equal to 360 degrees. We know part of the circle is 125 degrees which means the remaking portion must be 235 degrees.
360 - 125 = 235
Find the hypotenuse of a right triangle with side lengths of 7 and 3. Round your
answer to one decimal place.
Answers
Answer:
7.616
Step-by-step explanation:
=7.6
WILL MARK BRAINLYIST
Answers
HELP ME I BEG YOU !!!!!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
the graph decreases for all values of x because from LEFT to RIGHT it goes down
You go to a restaurant with a friend. You purchase the items shown in the table below. There is a 7% sales tax and you wish to leave a 20% tip. You also have a coupon for 15% off the meal. What will you pay for the meal?
Answers
The total money paid for a meal of $100 with 7% sales tax, 20% tip and a coupon for 15% off is $112.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that the total cost of the meal shown in the table cost $100, hence:
Tax = 7% of sales = 0.07 * 100 = $7
Tip = 20% of sales = 0.2 * 100 = $20
Coupon = 15% = 0.15 * 100 = $15
Amount paid for meal = total cost + tax + tip - coupon = 100 + 7 + 20 - 15 = $112
The total money paid for a meal of $100 with 7% sales tax, 20% tip and a coupon for 15% off is $112.
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What is the simplest radical form of the expression?
Answers
Answer:
x^2y^2 3y^2
Step-by-step explanation:
its a or the first choice
Two office buildings are 100ft apart from the edge of the shorter building the angle of elavation to the top of the taller building is 28 and the angle of depression to the bottom is 42 how tall is each building round to the nearest foot
Answers
Answer:
how to do this
Step-by-step explanation:
Is the area is 49 what is the radius and diameter of the circle
Answers
Answer:
≈ 7.80
Step-by-step explanation:
Solve for x: 1 over 3 (2x − 8) = 4. (10 points)
2
6
10
10 over 3
Answers
Answer:
10
Step-by-step explanation:
i got an 100 on my quiz
I need this ASAP.
preschool has a student to teacher ratio of 5:2 which of the following ratios is equivalent to this ratio?
A 45 teachers to 18 students
B 45 students to 18 teachers
C 35 students to 10 teachers
D 10 students 7 teachers
Answers
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First you do 5/2 to solve the ratio! That equals 2.5 btw. Then you have to selected the answer choice that is equivalent to that. So I just divided all them until I got a radio equal to 2.5! 45/18 equals 2.5 also! Therefore A (45 teachers to 18 students) was the correct choice!
Find the value of x to the nearest tenth
34
59°
х
Answers
Answer:
66.0is your answer.
cos59=34/x
x=34/cos59=66.01
answer A 66 is WRONG