Answer:
17) x=8
18) [tex]x=\sqrt{189}[/tex] or [tex]x= 3\sqrt{21}[/tex]
Step-by-step explanation:
So the rule is [tex]a^{2} +b^{2} =c^{2}[/tex], "c" being the hypothenuse, or the long line that is opposite to the right angle.
17) We know that both values of x are equal to each other, which makes everything 10x easier!
[tex]x^{2} +x^{2} =(8\sqrt{2}) ^{2}[/tex]
(by the way we know the x values are our a and b values because they are legs! the way I like to remember the legs is that they are connected to the right angle box, and therefore support the hypothenuse)
simplify (╥︣﹏╥)
[tex]2x^2=8^2(\sqrt{2} )^{2}[/tex]
[tex]2x^2=64(2)[/tex]
[tex]2x^2=128[/tex]
[tex]x^{2}= 128/2[/tex]
[tex]x^{2} =64[/tex]
x=8
18) Just pretend that the flipped triangle doesn't exist. It's parallel to the other triangle with values on it, and basically servers no purpose other than being parallel to the sister triangle :)
Anyways, since we know the hypothenuse (15) but we don't know one of our leg values (x), we're going to change our equation a bit!
[tex]c^{2} - b^{2} = a^{2}[/tex]
It doesn't matter if you put the one leg value in a or b, just as long as you stick to that same equation you started with the entire time!
[tex]15^{2} -6^{2} =x^{2}[/tex]
[tex]225-36=x^{2}[/tex]
[tex]x^{2} =189[/tex]
[tex]x=\sqrt{189}=3\sqrt{21}[/tex]
The more you do these, the easier they'll get, so don't worry!
Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP
Answer:
Proved
Step-by-step explanation:
m∠JPO = 90 = m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP
Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Please refer to the attached picture for the diagram.
We have:
KW is perpendicular to JO, JP is perpendicular to KO.
KN intersects with JP=Q.
From the figure:
Angle JPO =Angle OWK = 90 degrees
By using the reflexive property:
Angle O = Angle O
Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
What is the value of the expression “two less than six times the difference of a number and five" when n =
22
16
ОООО
32
31
Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Answer:
2 orders
Step-by-step explanation:
Step one:
given data
The local store sells at $24 per pair of jeans
Cost = $24
The online store sells at $22 per pair plus a shipping fee of $6 per order
let the number of orders be x
Cost= 22+6x
For 1 order
the online store will cost
Cost= 22+6*1
Cost= 22+6
Cost= $28
For 2 orders
The local shop cost
Cost= 24*2= $48
The online store will cost
Cost= 22+6*2
the online store will cost
Cost= 22+12
Cost= $34
Hence Tim should place at least 2 orders if he wants to buy online
Answer:
# of orders is 2 ORDERS!!!
Step-by-step explanation:
I hope this helps!!!
Maggie has 3 quarters, Elizabeth has 5 quarters, and John has 7 quarters. If a represents $0.25, which of the followin expressions represents how much money they have altogether?
Answer:
.375 cents Or 3.75 dollars
Step-by-step explanation:
So on each number you have a certain amount of quarters so for maggie 75 cents
and for elizabeth 1.25
and john 1.75 then add all together to get 375 cent of 3.75 dollars
Answer:
I did this question a like an hour ago is it the one that says "If q represents $0.25," because if it is the answer is 15q
Step-by-step explanation:
Hey, I don't want to bother anyone but could someone help me fill in the angle of x?
Answer:
x = 90°Step-by-step explanation:
diagonal line = 180 = x + 90
180 - 90 = x
90 = x
therefore, x = 90°
HELP ASAP ILL GIVE U BRAINLEST
Answer:
c=0.79s
I hope this helps:
7.11/9=0.79
What is the equation of the line?
A) y=34x−1
B)y=34x+1
C)y=43x−1
D)y=43x+1
Answer:
B
Step-by-step explanation:
not so sure but see if this is correct
Write the equation of the line passing through the points (-7,4) and (7,2).
Answer:
y = -1/7x + 1
Step-by-step explanation:
This could be wrong. But I'm pretty sure
Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.
Answer:
Q= 126°
Step-by-step explanation:
Using the picture given, because these are parallel lines broken by a transversal, we can say the following
M=A=Q=F
B=C=D=G
Since, for example, M and C are the same line, we can say that M+C=180 and so on.
M=Q
Q= 126°
ty-qy+p=r solve for y
Answer:
[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]
Step-by-step explanation:
In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.
Step 1: Subtract [tex]p[/tex] from both sides of the equation.
[tex]ty - qy + p - p = r[/tex] [tex]ty-qy=r - p[/tex]Step 2: Factor out the common term [tex]y[/tex] from the left side
[tex]y( t-q ) = r-p[/tex]Step 3: Divide both sides by [tex]t-q[/tex]
[tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex] [tex]y = \frac{r-p}{ t-q}[/tex]Hope this helped!
3. The Statue of Liberty is 305 feet tall. Lisa has a replica that is 9 inches tall and the
length of the right arm holding the torch isi inches. How tall is the actual right arm
holding the torch?
Answer: 33.9 inches
Step-by-step explanation:
Assuming you meant to write that the length of the right arm holding the torch is 1 inch:
The statue is 305 feet tall and the replica is 9 inches tall.
If the replica's right arm is 1 inch, the actual arm will be:
= 1 * 305/9
= 33.9 inches
If right arm of replica was not 1 inch, use this answer as reference.
The campsite costs $10 a night and you stay 5 nights. If the sales tax is 8%, how much will it cost for 5 nights with tax?
Answer:
54
Step-by-step explanation:
5*10 = 50
50 * 1.08 = 54
you have an intial amount of $45 in a savings account and you deposit an equal amount into the account each week. After 5 weeks the account holds $105. Write an equation that repersents the amount y (in dollors) of money in the account after x weeks
Answer:
$45 * X weeks = Y money
Step-by-step explanation:
Square describe it in your own words.
Answer:
square is a geometrical figure have all side equal .
2x2= 3x5= 8nsjddjdkdjd
Answer is 19
Step-by-step explanation:
Answer:
What??
Step-by-step explanation:
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
Answer:
Approximately 45%.
Step-by-step explanation:
We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.
So, as a fraction of the total won over the total games, we can write:
[tex]\displaystyle\frac{15}{33}[/tex]
So, by dividing, the percent the team won is:
[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]
The team won approximately 45% of its games.
find the base (picture attached)
Answer:
12 yd
Step-by-step explanation:
yo yo yo hi hi hi hi hi
so b*h=96
so 8b=96
b=12
Consider the graph of the linear equation 2x - 5y = 10.
x-intercept=
y-intercept =
slope=
Answer:
x-intercept= (5,0)
y-intercept= (0,-2)
Slope= 2/5
Step-by-step explanation:
“z varies jointly as x and y”
1. Translate into variation statement
2. Ifz=36whenx=3andy=2,findk.
3. xis4wheny=3andz=2.Whatiszifx=8and y=6.
The area a of a triangle varies jointly as its base b and height h.
4. Express the relation as a variation statement.
5. Iftheareais15cm2whenthebaseis5cmandtheheightis6cm,
find k.
6. Ifa=65cm2whenb=10cmandh=13cm,findawhen b=8cm
and h = 11 cm.
________________________________________________________________
Answer:
urdykdgjjdtdgdmgkgdzkyjt
Answer:
1. z=kxy
2. 36=k(3)(2)
k=6 is the answer
3. 2=k(4)(3)
k= -6 is the answer
z=kxy z=(-6)(8)(6)
z= -288 is the answer
you always remember that the formula we should use is z=kxy
Which of these describes the function graphed below
Answer:
B
Step-by-step explanation:
I'm stuck and I need help quick
Answer:4
Step-by-step explanation:
The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.
-8t = 64
Answer:
t = ?
Answer the ? Mark pls
Answer:
t= -8
Step-by-step explanation:
-8t= 64
t= 64/-8= -8
hope it helps! please mark me brainliest..
thank you!! have a good day ahead
Answer:
t = -8
Step-by-step explanation:
Knowing eight times eight equals 64, I knew that is the answer. So, instead of positive eight, it would have to be negative given a negative times a negative equals a positive.
-8 x -8 = 64
I hope this helps!
Look at the point P on the number line.
Which number lines have a point that is equal to point
P? Check all that apply.
р
Answer:
the answer is A and C
Step-by-step explanation:
yw
The line models the temperature starting at noon on an autumn day.
a. Find the y-intercept of the function.
b. What does the y-intercept represent?
please help! (i will insert a picture so you can see the graph)
Answer:
a) y-intercept (as can be seen) is 50 degrees
b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside
Step-by-step explanation:
A 30-60-90 triangle is shown below. Find the Value of X.
Will mark brainliest
Answer:
x = 5
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1: [tex]\sqrt{3}[/tex] : 2
to find 'x' for the triangle shown, divide the hypotenuse by 2
10/2 = 5
Simplify the expression so there is only one positive power for each base.
i hope you understand
=0.4 × 0.3
here's a picture:D
Answer: The answer is 0.12
Step-by-step explanation:
answers for the 2 boxes
Step-by-step explanation:
y = 4x + 3.
Therefore y = 7 + 3x
=> (4x + 3) = 7 + 3x
=> x = 4.
y = 4(4) + 3 = 19.
The solution pair is (4,19).
Sarah‘s mother is 28 years older than Sarah is their combined age is 50 how old is Sarah how old is Sarah‘s mom
Answer: 39 years old
Step-by-step explanation:
First find Sarah's age.
It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.
Assume Sarah's age is x.
Sarah's mother's age would be: x + 28.
The expression would therefore be:
x + (x + 28) = 50
2x + 28 = 50
2x = 50 - 28
x = 22/2
x = 11
Sarah is 11 which means her mom is:
= 11 + 28
= 39 years old
Pls help 25 only and brainlist
Answer:
2x+2
Step-by-step explanation:
Perimeter = 2 * width + 2 * length
12x+10 = 2(4x+3) + 2 * width
12x+10 = 8x + 6 + 2w
4x+4 = 2w
2x+2 = w