please Please PLease help m with these 2 please show work and explain how to do this
Answers
Answer:
5. x = 7
6. x = 13; YZ = 28
Step-by-step explanation:
It can help to start by writing the similarity statement for each figure. To do that, you can identify corresponding features, then work around the figure in a direction that maintains the correspondence of the vertices. Here the figures are dilated, and problem 5 has the figure rotated. Since there is no reflection involved, the corresponding vertices remain in clockwise order.
Once you have written the similarity statement, you can identify the values given for corresponding parts. Here, the values are all for side lengths (not angles). Corresponding sides will have their vertices in the same relative position in the similarity statement.
5.Working counterclockwise from the acute angle, we have ...
KNML ~ PSRQ
Then corresponding sides are ...
KN = 7x -9 . . . . PS = 60
NM = not given . . . . SR = not given
ML = 4x +4 . . . . RQ = 48
LK = not given . . . . QP = not given
Now, you can write a proportion that involves corresponding sides. The main point here is to put corresponding parts in the same relative locations in the proportion. We can write this a couple of ways:
KN/ML = PS/RQ ⇔ (7x -9)/(4x +4) = 60/48
or
KN/PS = ML/RQ ⇔ (7x -9)/60 = (4x +4)/48
We note here that solution is generally easier if the variable is put in the numerator of the expression. We might choose the latter form for that reason. We might choose the first form because we know we can reduce the fraction 60/48 to 5/4, simplifying the problem a bit.
Using the second form of the proportion, we can solve it as follows:
(7x -9)/60 = (4x +4)/48
4(7x -9) = 5(4x +4) . . . . . . multiply by the LCM of 60 and 48, which is 240
28x -36 = 20x +20 . . . . . eliminate parentheses
8x = 56 . . . . . . . . . . . add 36-20x to both sides
x = 7 . . . . . . . . . divide by 8
__
6.Counterclockwise from S, the similarity statement can be written ...
ΔSYZ ~ ΔSRT
Corresponding parts are ...
SY = not given . . . . SR = not given
YZ = 2x +2 . . . . RT = 3x -7
ZS = 40-5 = 35 . . . . TS = 40
A suitable proportion is ...
(2x +2)/35 = (3x -7)/40
8(2x +2) = 7(3x -7) . . . . . . . . multiply by 280
16x +16 = 21x -49 . . . . . . eliminate parentheses
65 = 5x . . . . . . . . . add 49-16x to both sides
x = 13 . . . . . . . divide by 5
YZ = 2x +2 = 2(13) +2
YZ = 28
Related Questions
Mary’s dog weighs 185 pounds. Her dog needs to lose between 9 and 15 pounds. Between what two percentages, rounded to the nearest whole numbers, should Mary’s dog lose weight with respect to its current weight of 185 pounds? Select your answers from the drop-down lists.
Answers
Answer:
talk to you're mother
Step-by-step explanation:
love you
A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot. 8 tiles are in the Product spot in 2 columns with 4 rows: 1 is labeled x squared, 1 is labeled x, the 3 tiles below x squared are labeled negative x, and the 3 tiles below the x tile are labeled negative. What are the factors of the polynomial? (x − 1) and (x 3) (x 1) and (x − 3) (x − 2) and (x 3) (x 2) and (x − 3).
Answers
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
A bucket of water of mass 15 kg is pulled at constant velocity up to a platform 40 meters above the ground. This takes 16 minutes, during which time 5 kg of water drips out at a steady rate through a hole in the bottom. Find the work needed to raise the bucket to the platform. (Use g=9.8m/s^2.)
Answers
Answer:
4900 J
Step-by-step explanation:
The average mass of water raised is ...
(15 kg +(15 -5) kg)/2 = 12.5 kg
The work done to raise it 40 m is ...
W = mgh = (12.5 kg)(9.8 m/s^2)(40 m) = 4900 J
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
Answers
3. Which of the following has a value of 13? (5.02.2)
A. 5 + 4 x 3 - 1
B. (5 + 4) x 3 - 1
C. 5 + 4 (3 - 1)
D. (5 + 4) X (3 - 1)
Answers
im stup*d please help
Answers
Answer:
1. Standard form
2. Vertex form
3. Intercept form
Step-by-step explanation:
#CARRYONLEARNING
Answer:
a. 2. Intercept Form
b. 3. Vertex Form
c. 1. Standard Form
Step-by-step explanation:
hope this helps :)
A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
Answers
Answer:
155 m/h
Step-by-step explanation:
We just add 150 to 5 which equals 155 m/h
I HOPE THAT THIS IS CORRECT
Use given triangle to fill in the blank.
Answers
Answer:
5 over 13
Step-by-step explanation:
adjacent over hypotenuse use trigo rules
(Toa Cah Soh)
Answer: 12/13
Step-by-step explanation:
HELP I DON'T GET THIS PLEASE HELP!!!!!!!
Kamara has a square fence kennel area for her dogs in the backyard. The area of the kennel is 64 ft squared. What are the dimensions of the kennel? How many feet of fencing did she use? Explain.
Answers
8 ft
Step-by-step explanation:
If the kennel is a square, both the dimensions must be the same length. Lets say each side is s. Then, the area would be s². So to find s, it must be √(area if the square). In this case, √(64), which is 8 ft.
Answer:
dimensions: 8 ft x 8 ft ║ 32 ft of fence she used.
Step-by-step explanation:
area of the kennel is 64 ft²as its a square, its formula for area: length²
using the formula:
length² = 64
length = √64
length = 8 ft
→ The dimensions of the kennel is 8 ft x 8 ft
Using the length, we can find; how many fencing she used:
formula used: 2 ( length + length )
using the formula:
2 ( 8 + 8 )
2 ( 16 )
32 ft
Which of the following statements are true about the function y = 3x?
i. The function is a direct variation.
ii. The function goes through the origin.
iii. The constant of variation is
1/3
iv. y is 6, when x is 2.
Answers
The following statement are true about the given function
Statements i,ii, and iv
Given Data
We have the following function to analyse
y = 3x
The following statement are true/false about the given function
The function is a direct variation: this is true because an increase in the x value will increase the y valueThe function goes through the origin: for x = 0, y = 0The constant of variation is 1/3: this statement is false, the constant of the variation is 3y is 6, when x is 2: this statement is true, when we plug x = 3, the corresponding value for y is 6Learn more about variation here:
https://brainly.com/question/6499629
Answer:
I,II, and IV
Step-by-step explanation:
i don't know the answer
Answers
Step-by-step explanation:
okay hold up a sec
Pedro bought 8 tickets to a basketball game. He paid a total of $224. Enter an equation, using x as your variable, to determine whether each ticket cost $28 or $21. Then enter the cost of the ticket.
The equation is __=__
The cost of each ticket was $__
Answers
x=224/8
x=25+3=28
So: 28
The cost of each ticket was $28
A freight train travels 1445 miles in 25 hours. What is the train’s average rate of speed?
Answers
Answer:
the train's average rate of speed would be 57.8 mph
Step-by-step explanation:
Divide 1445 with 25 and then you get your answer
brainilest pls
anyway hope this helped have an awesome day bye byeee
Find the linear equation from this table
Answers
Answer:
y=2x+5
Step-by-step explanation:
The slope-intercept form of a linear equation is:
y=mx+b
Where m is the slope and b is the y-intercept.
We can start by finding the slope...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...
[tex]Slope=\frac{9-5}{2-0}=\frac{4}{2}=2[/tex]
The y-intercept is where the line intersects the y-axis. This means that the x value is 0. In the table we can see when the x value is 0, the y value is 5 meaning the y-intercept is 5...
y=2x+5
Can someone check this!?
Answers
The area of a rectangle is calculated using the equation Area = length x width
What is the area of rectangle ABCD?
A. 6 Square Units
B. 441 Square Units
C. 21 Square Units
D. 49 Square Units
Answers
Find the value of x.
Answers
180 = 132 + x + x
180 - 132 = 2x
48 = 2x
x = 24⁰
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Let's use Angle sum property of a triangle ~
[tex]\qquad \sf \dashrightarrow \: x + x + 132 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x + 132 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x = 180 \degree - 132 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x = 48 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 48 \degree \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 24 \degree[/tex]
`15 is what percent of 40?
Answers
Answer:
37.5%
Step-by-step explanation:
let 15 is X % of 40,
now,
x% of 40 =15
or,X/100 ×40 =15
or,X=(15×100)/40
or,X=1500/40
orX=37.5%
Need answers for 3 and 4 please.
Answers
Answer:
Note: Any number or variable(unknown) raised to the index or power zero (0)* is equal to one (1)*.
3. Solution
Given: x = 2 and y = 5
-4x^-2 + 3y^0
by substituting the values of x and y,
> -4(2)^-2 + 3(5)^0
> -4/(2)^2 + 3(5)^0
> -4/4 + 3(1)*
> -1 + 3 = 2
4. Solution
Given: x = 2 and y = 5
2x^0y^-2
by substituting the values of x and y
> 2(2)^0(5)^-2
>2(2)^0×1/(5)^2
>2(1)×1/25
>2×1/25
>2/25
Line JK passes through points J(–4, –5) and K(–6, 3). If the equation of the line is written in slope-intercept form, y = mx + b, what is the value of b?
Answers
[tex]J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-6}-\underset{x_1}{(-4)}}}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-4}(x-\stackrel{x_1}{(-4)})\implies y+5=-4(x+4)[/tex]
[tex]y+5=-4x-16\implies y=-4x\underset{\stackrel{\uparrow }{b}}{-21} \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
its -21 cus im asian and smart
Step-by-step explanation:
marco bought a 64 ounce bag of popcorn. he ate 5% of the bag with his lunch. How much popcorn did he eat at lunch?
Answers
Answer:
3.2 ouncesStep-by-step explanation:
Divide 5 percent by One Hundred,
5/100 = 0.05
Multiply 0.05 by 64
0.05x64= 3.2
g(x)=4x-2 ,h(x)= 5x, evaluate (h×g)(3)
Answers
Answer: 50
Step-by-step explanation:
[tex]h\:\circ \:g=h\left(g\left(x\right)\right)[/tex]
[tex]g\left(x\right)=4x-2[/tex]
[tex]=h\left(4x-2\right)[/tex]
[tex]=5\left(4x-2\right)[/tex]
[tex]=20x-10[/tex]
Substitute 3 for x:
= 20(3)-10
= 50
jim deposited $4000 into an account with 5.9% interest, compounded quarterly. assuming that no withdrawals are made, how much will he have in the account after 7 years?
Answers
**ANSWER NEEDED QUICKLY** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.
Answers
Answer:
ready. took me 2 minutes
4. Lucy is k years old. She has a sister who is three years younger than she is and
another sister who is five years less than twice Lucy's age. Write an expression, in
simplified form, for the sum of the three girls' ages.
Answers
Answer:
4k - 8
Step-by-step explanation:
Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.
Hope this helps!
i need help please can i have some help
Answers
Answer:
a) Rectangle:
Length = 12 cm
Breadth = 6 cm
Area = length × breadth
= 12 × 6
= 72 cm²
b) Triangle A:
Base = 3 cm
Height = 6 cm
Area = 1/2 × base × height
= 1/2 × 3 × 6
= 9 cm²
c) Triangle B:
Base = 3 cm
Height = 6 cm
Area = 1/2 × base × height
= 1/2 × 3 × 6
= 9 cm²
d) Parallelogram:
Base = (12 - 3) = 9 cm
Height (distance between two parallel sides – the ones you use as your base) = 6 cm
Area = base × height
= 9 × 6
= 54 cm²
Please help me on math again
Answers
Answer:
0,100,0.5,20
Step-by-step explanation:
My answer got removed cause I didn't put an explanation... you just plug in the numbers to the equation.
Random error is: A. an outside influence that affects the true score in a consistent way. B. the extent to which a measure will produce the same results each time it is used. C. the extent to which a research method measures what it is intended to measure. D. unsystematic influence on the true score.
Answers
Someone please help quickly
Answers
44 = 3 2/3 * x
To get x, or the other side, we will divide 44 by 3 2/3
From this, we will get x = 12
How many solutions does the following system of linear equations have?
6(x + 4) = 2(3x + 4)
Answers
6x + 24 = 6x + 8
Cancel equal terms
24=8
the statement is false(Ø)