please Please PLease help m with these 2 please show work and explain how to do this
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
Type the missing number that makes these fractions equal 1/ =2/4
Answer:
1/2=2/4
Step-by-step explanation:
if you simply 2/4 it becomes 1/2. i hope that's what you were asking for.
Answer:
2
Step-by-step explanation:
Simplify 2/4 to give 1/2
Just divide top and bottom by 2
Sense or nonsense? Pete says that to write 4/6 as 2/3, you combine pieces, but to write 4/6 as 8/12, you break apart pieces does this make sense?
In order to write 4/6 as 2/3 we would break apart pieces and to write 4/6 as 8/12 we would combine pieces.
What are fractions?
A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
In order to write 4/6 as 2/3 we have to express in its simplest form. This means that you have to divide 4/6 by 2. In order to write 4/6 as 8/23, multiply 4/6 by 2.
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
a basketball team played 30 games. they won 22 . what is the ratio of games won to games lost ?
Answer:
22:8
11:4
Step-by-step explanation:
for every 22 games won, there was a loss of 8 games
simplify...
for every 11 games won, there was a loss of 4 games
let me know if this helps :3
The Schwartz family spent a total of $111. 75 for Internet service for 3 months. Each month they received $5. 50 as a credit on the bill. Which equation and solution shows the cost of their monthly Internet service before the credit? 3 (x 5. 50) = 111. 75; the monthly Internet service is $31. 75 3 (x minus 5. 50) = 111. 75; the monthly Internet service is $42. 75 One-third (x minus 5. 50) = 111. 75; the monthly Internet service is $42. 75 One-third (x 5. 50) = 111. 75; the monthly Internet service is $31. 75.
It's b} the monthly Internet service is $31. 75 3 (x minus 5. 50) = 111. 75
75 is 60% of what number? 30 45 125 450
Answer:
60% of 125
Step-by-step explanation:
60% of 30 = 18
60% of 45 = 27
60% of 125 = 75
60% of 450 = 270
branliest pls
Answer:
125
Step-by-step explanation:
i took the test :D
At a certain restaurant, 8 sandwiches and 10 burritos will cost $123.40. In addition, 5 sandwiches
and 9 burritos cost $97.20. Assuming that we are talking about the same sandwiches and burritos,
what is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a
sandwich and y represent the cost of a burrito
Equation #1:
Equation #2:
Cost of 1 burrito:
Cost of 1 sandwich: $
Answer:
Equation 1: 8x + 10y = 123.4
Equation 2: 5x + 9y = 97.2
cost of a burrito = $7.30
cost of a sandwich = $6.30
Step-by-step explanation:
Let x = cost of a sandwich
Let y = cost of a burrito
Equation 1: 8x + 10y = 123.4
Equation 2: 5x + 9y = 97.2
Rewrite equation 1 to make y the subject, then substitute into equation 2 and solve for x:
8x + 10y = 123.4
⇒ 10y = 123.4 - 8x
⇒ y = 12.34 - 0.8x
5x + 9(12.34 - 0.8x) = 97.2
⇒ 5x + 111.06 - 7.2x = 97.2
⇒ 13.86 = 2.2x
⇒ x = 6.3
So cost of a sandwich = $6.30
Substituting x = 6.3 into equation 2 and solving for y:
5(6.3) + 9y = 97.2
⇒ 31.5 + 9y = 97.2
⇒ 9y = 65.7
⇒ y = 7.3
So cost of a burrito = $7.30
Answer:
8x + 10y = 123.40
5x + 9y = 97.20
OR
40x + 50y = 617
-40x - 72y = -777.6
x = $6.30
y = $7.30
Step-by-step explanation:
we can write this system of equations:
8x + 10y = 123.40
5x + 9y = 97.20
using the 'elimination method', we can multiply the first equation by 5 and the second equation by -8 to get:
5(8x + 10y) = 123.4(5)
40x + 50y = 617
-8(5x + 9y) = 97.2(-8)
-40x - 72y = -777.6
now we can add the new equations and solve for 'y':
40x + 50y = 617
-40x - 72y = -777.6
-22y = -160.6
y = 7.30
now we can substitute 7.3 for 'y' so we can solve for 'x':
8x + 10(7.3) = 123.4
8x + 73 = 123.4
8x = 50.4
x = 6.30
WILL GIVE BRAINLIEST!! In this triangle, what is the value of x? enter your answer, rounded to the nearest tenth, in the box.
x = 56.5 and rounded to the nearest tenth is still gonna be 56.5 but to the nearest TENS is 60 (Please give brainliest!!)
Step-by-step explanation:
His is a right triangle so you can use SOH CAH TOA :
Sine = opposite/ hypotenuse
Cosine= adjacent/ hypotenuse
Tangent = opposite/ adjacent
here you have the hypotenuse and are looking to solve for the adjacent side to angle measure 28
so you can set this up like this: cos(28)= x/64
now multiply both sides by 64 and you'll get x = 56.5 just make sure your calculator is in degrees not radians
What is the value of X? Enter your answer in the box X=
Answer:
25
Step-by-step explanation:
by Pythagoras' theorem,
13^2=12^2 + x^2
169=144+x^2
x^2=169-144
x^2=25
√x=√25
therefore, x=25
Find the measure of AD
Answer:
x=6
Step-by-step explanation:
triangles CDB and ADB are equal so we know that CD=AD and can write this equation:
3x+5 = 5x-7
subtract '3x' from each side:
5 = 2x-7
add 7 to each side:
12 = 2x
12/2 = x
6=x
Question
A sandbox in the shape of a rectangular prism measures 7 feet by x feet by 9 feet. Write a simplified expression for the volume (in cubic feet) of the sandbox.
Answer:
63x ft³
Step-by-step explanation:
To find the the volume of a rectangular prism you multiply all the dimensions (7 feet, x feet, and 9 feet in this case).
7×x×9=
63×x=
Volume= 63x ft³
Divide 180 into two parts such that the larger is 16 more than three times the smaller. Pls help
x = the larger
y = the smaller
x+y = 180
x = 180 - y (eq 1)
x = 16 + 3y (eq 2)
substitution eq 1 to eq 2
[tex]\tt 180-y=16+3y\\\\164=4y\rightarrow y=41, then~x=180-41=139[/tex]
Jayce made a scale drawing of the elementary school. He used the scale 7 centimeters = 1 meter. What is the drawing's scale factor? Simplify your answer and write it as a fraction.
Answer:
Is this multiple choice or do you have to do it on your own with your own answer?
Step-by-step explanation:
At the zoo, detailed records are kept for each animal. This chart shows the weight of a tiger cub. During which period was the weight gain the lowest?
Answer:
a. may to june
Step-by-step explanation:
subtract all the first months by second months to get answer.
Do the equations 5y−2x=18 and 6x=−4y−10 form a system of linear equations?
For clear understanding refer to the attachment please! :)
Please answer soon (60 points!)
Answer:
3.5
Step-by-step explanation:
We will divide 35 by 10.
35/10 = 3.5
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony eats half of his sweets.
Write an expression for the number of sweets Sue and Tony have?
Answer:
see below
Step-by-step explanation:
18 - x - 5 = for sue
(18 + x)/2 = for tony
to put the combined total together
18 - x - 5 + (18 + x)/2
well the X's cancel out since it stays between them
18 - 5 + (18)/2
18 - 5 + 9
18 + 4
22 candies
change 4 and 3/5 to an improper fraction
Answer:
The answer is 23/5, or 23 over 5.
Step-by-step explanation:
4 and 3/5
Multiply the denominator by the whole number and add the numerator, all over the original denominator to calculate the improper fraction.
20 + 3 over 5
Which of the following shows the correct way to subtract
15 4/5 - 9 3/5?
Answer:subtract the whole numbers first then you do only the numerators and you got your answer
(x-3)(x-2)
x(x-3)-3(x-2)
Answer:
(x-3)(x-2)
= x^2-2x-3x+6
= x^2-5x+6
x(x-3)-3(x-2)
= x^2-3x-3x+6
x^2-6x+6
Convert 310 yards into feet.
Answer:
930 feet
Step-by-step explanation:
[tex]=310yards\\\\=310yards*3\\\\=930feet[/tex]
Note that to convert the yards into feet we must multiply the value by 3.
Answer:
930 feet
Step-by-step explanation:
There are 3 feet in 1 yard. It is given to you to convert 310 yards into feet. Since 3 feet = 1 yard, simply multiply 3 with the given yards to obtain the feets:
310 yards x (3 feet/1 yard) = 930 feet/310 yards.
930 feet is your answer.
~
whats greater -5 or-6
Answer:
-5
Step-by-step explanation:
-5 is closer to being a positive number
Answer:
-5 is greater than -6
Step-by-step explanation: Because when we are talking about negative numbers the bigger number is always going to be the smallest and the smallest number is always going to be the the greater number. Hope this helps!!:)
3. James wanted to buy a used car for $6,500. He made a down payment of $1,500 and agreed to pay $155 a month for 4 years. How much interest did he pay?
If.you are missing a term in your
polynomials (both dividend and divisor),
you must put a zero as a coefficient
place holder for that term.
Only for the dividend
False
Only for the divisor
True
Answer:
True
Step-by-step explanation:
You need a place holder in both the dividend and the divisor when dividing polynomials.
Find the lettered angles.
Answer:
a) ∠a = 72°
∠b = 108°
b) ∠[tex]x[/tex] = 56°
c) ∠m = 95°
Step-by-step explanation:
Sum of interior angles of a polygon = (n − 2) × 180a) This shape is a regular polygon with 5 sides.
Therefore, sum of the interior angles = (5 - 2) x 180 = 540°
Therefore, ∠b = 540 ÷ 5 = 108°
∠a = 180 - 108 = 72°
b) The sum of the exterior angles of a polygon = 360°
Therefore, 55 + 63 + 52 + 44 + 90 + [tex]x[/tex] = 360
304 + [tex]x[/tex] = 360
[tex]x[/tex] = 360 - 304 = 56°
c) The sum of the exterior angles of a polygon = 360°
Therefore, 40 + 40 + 35 + 40 + 50 + 60 + m = 360
265 + m = 360
m = 360 - 265 = 95
A circle is divided into 10 equal parts what is the angle measure of four of those parts
Answer:
Four of those parts will have 144 degrees
Explanation:
A full circle will always have 360 degree
If the circle is divided into 10 equal parts,
The angle shall divide in 10 parts:
Each slice angle: [tex]\frac{360}{10}[/tex] = 36 degrees.
1 parts has 36 degrees; so:
Four parts will have: 36 * 4 = 144 degrees.
While on a hot air balloon ride over Washington D.C., Sam spots the White House below. If the horizontal distance from the White House to the hot air balloon is 1,478 feet and the hot air balloon is 2,109 feet from the ground, what is the angle of depression from Sam to the White House?
Answer:
i need answer pls
Step-by-step explanation:
and then i can help
Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?
Answer:
Image result for Three vertices of a rectangle are (6,1), (3,1), and (3,8). What are the coordinates of the fourth vertex?
One would be to divide the rectangle into two triangles, then use the Pythagorean Theorem to find the distances between the points, and finally use Heron's formula to find the areas of the two triangles.
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2.
Step-by-step explanation:
Help please. Im stuck
Answer:
16 units squared
Step-by-step explanation:
First, calculate the distance between (0, 0) and (0, 4). The distance is in y, so there are 4 units in-between.
Next, calculate the distance between (0, 0) and (4, 0). This time, the distance is in x, but it is still four.
We know the dimensions of the shape are 4x4 so we just multiply.
4*4=16
A small bus charges $3.50 per person for a ride from the train station to a concert. The bus will run if at least 3 people take it, and it cannot fit more than 10 people.
Function B gives the amount of money that the bus operator earns when n people ride the bus.
Which numbers make sense as inputs and outputs for this function?
i. 3-10
ii. 4-11
iii. 2-10
iv. 10-15
Answer:
the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.
Amount = 3.5n