On line l, m∠p = 21x +25 and m∠n = \{675x\:-27}/3 Use this information to answer Part A & B below. Part A: Determine the value of x. Part B: Determine the measure of ∠p and ∠n in degrees. p = n =
Answer:
a) x = 492/738
b) m<p = 39°
m<n = 141°
Step-by-step explanation:
Find the diagram attached
a) The sum of angle on the straight line l is 180degrees
m<n + m<p = 180 degrees
Given
<p = 21x+25
<n = (675x-27)/3
Substitute the given values into the formula
(675x-27)/3 + 21x+25= 180
[(675x-27+3(21x+25))]/3 = 180
675x-27+63x +75 = 180*3
675x+63x-27+75 = 540
738x+48 = 540
738x = 540 - 48
738x = 492
x = 492/738
b) m<p = 21x+25
m<p = 21(492/738) + 25
m<p = 14+25
m<p = 39°
Recall that m<p + m<n = 180
m<n = 180-m<p
m<n = 180 -39
m<n = 141°
I NEED THIS FOR A TEST PLZ HELP!!!
Triangle ABC has been dilated from center D.
If the length of segment BC = x, which is the
length of segment
ST?
A. 2x
B. 3x
C. 4x
D. 5x
Answer:
4x
Step-by-step explanation:
Answer:
A. 2x is correct.
Step-by-step explanation:
Finding the measure of the segment BC and ST by the Distance formula: B (5, 7), C (8, 8), S (1, 11), T (7, 13).
BC = √(8-5)² + (8 - 7)²
BC = √10
ST = √( 7 - 1)² + ( 13 - 11)²
ST = 2√10
Scale Factor = Image/ Pre-image = ST/BC = 2√10/√10 = 2
This means that the image, ST, is twice as large as the pre-image BC.
Given the following equations, at which point will the graphs intersect?
f(x) = 5x + 1
g(x) = -2x + 15
(0,0) (1,15) (-2,-9) (2,11)
Answer:
(2,11)
Step-by-step explanation:
f(x) = 5*2 + 1 = 11
g(x) = -2 *2 + 15 = 11
The opposite of four times a number is increased by five. If the result is 17, what is the original number?
A) 8
B)-3
C)16
D)-48
IF YOU DON’T KNOW DONT ANSWER
Answer:
B, -3
Step-by-step explanation:
-4x+5=17
this equation can be used to determine the number
-4x=12
x=-3
A can in the shape of a cylinder has a diameter of 6 cm and a height of 10 cm which measurement is closest to the total surface area of the can in square centimeters
Answer:
10cm
Step-by-step explanation:
Move values to the lines to complete the sentence about triangle p’ q’ r’
When do we use pooling in inference?
Answer:
There are two versions of this test, one is used when the variances of the two populations are equal (the pooled test) and the other one is used when the variances of the two populations are unequal (the unpooled test).
Step-by-step explanation:
The minute hand of a clock is 6 inches long. How far does the tip of the minute hand move in 20 minutes? Round to two decimal places.
Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.
Answer:
width = 5 ft
length = 9 ft
Step-by-step explanation:
Here, we want to get the length and width of the garden
length is 1 ft less than twice the width
if width = w
length = 2w-1
The product of the two is 45
so, we have it that;
w(2w-1) = 45
2w^2 - w = 45
2w^2 - w -45 = 0
2w^2 - 10w + 9w -45 = 0
2w(w-5) + 9(w-5) = 0
(2w + 9)(w-5) = 0
2w + 9 = 0
or w -5 = 0
w = 5 or-9/2
w cannot be negative, so we = 5
l = 2(5) -1 = 10 - 1 = 9 ft
In RST shown below, altitude SU is drawn to RT at U. If SU = h, UT = 12, and RT = 42, what is the value of h to the nearest tenth?
Answer:
assuming angle RST=90 degrees
h=19
Step-by-step explanation:
RU/h=h/UT
RU=RT-UT=42-12=30
30/h=h/12
h^2=360
h=18.97 rounded to nearest tenths=19
Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2
Answer:
[tex]P_1 = 24cm[/tex]
Step-by-step explanation:
Represent:
Phil's height with P
Suzanne's height with S
Phil's shadow with P1
Suzanne's shadow with S1
So, we have:
[tex]P = 51.2cm[/tex]
[tex]S = 5'4"[/tex]
[tex]S_1 = 76.2cm[/tex]
Required
Calculate the length of Phil's shadow --- Missing part of question
To do this, we make use of the following equivalent ratio.
[tex]P:S = P_1 : S_1[/tex]
Convert [tex]S = 5'4"[/tex] to cm
[tex]S = 5ft\ 4in[/tex]
[tex]S = (5*30.48+ 4*2.54)cm[/tex]
[tex]S = 162.56cm[/tex]
Substitute values for P, S and S1
[tex]51.2cm : 162.56cm = P_1 : 76.2cm[/tex]
Express as fraction
[tex]\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}[/tex]
Make P1 the subject
[tex]P_1 = 76.2cm * \frac{51.2cm}{162.56cm}[/tex]
[tex]P_1 = 76.2cm * \frac{51.2}{162.56}[/tex]
[tex]P_1 = \frac{76.2cm * 51.2}{162.56}[/tex]
[tex]P_1 = \frac{3901.44cm}{162.56}[/tex]
[tex]P_1 = 24cm[/tex]
Hence, the length of Phil's shadow is 24 cm
In Mr. Green's homeroom, 6 students have no siblings, 7 students have 1 sibling, 10 students have 2 siblings, and 3 students have 3 or more siblings. Is it likely that a student chosen at random will have only 2 siblings?
Answer: No, it is unlikely that a student chosen at random will have only 2 siblings.
Step-by-step explanation:
Given: Number of students with 2 siblings = 10
Total students = 6+7+10+3 =26
The probability of choosing a student with only 2 siblings = [tex]\dfrac{\text{Number of students with 2 siblings}}{\text{Total siblings}}[/tex]
[tex]=\dfrac{10}{26}\\\\=\dfrac{5}{13}\approx0.38<0.5[/tex]
Hence, it is not likely that a student chosen at random will have only 2 siblings.
What is the answer for 1 1/2 yard x 1 1/2 yard =
Gina has a container that holds 32 fluid ounces of orange juice. How many gallons of orange juice does the container hold
Answer:
0.25 gallons
Step-by-step explanation:
Figure out how many fluid ounces make one gallon (128) Then start by dividing 128 by 32.. You should get 4. Make 4 a decimal and get 0.25
A coach buys a uniform and basketball for each of the 15 players on the team. Each
basketball cost $9.50. The coach spends a total of $450 for uniforms and basketballs.
What is the cost, in dollars, of each uniform?
$
How many times should you multiply 8/7 by itself?
Answer:
to gain what result
Step-by-step explanation:
if u can please the full question
x+3y=18 and x+2y=14
SHOW YOUR WORK!!!!!!!!!!!!!!!
Step-by-step explanation:
x=6
y = 4
......................
Is 15/60 equivalent to 1/4
Answer: Yes
Step-by-step explanation:
15/60 divided both by 15:
15/15=1 and 60/15=4
Answer:
yes
Step-by-step explanation:
15/60 divided by 15/15 = 1/4, or you could day that 15/60 simplified = 1/4, making the answer yes
Pls help pls pls than you
Answer:
b
Step-by-step explanation:
8*5=40
40*1/3=40/3
Which relation is a function?
Answer:
I need a picture at least
Please help will give Brain
Answer:
n=58
Step-by-step explanation:
the square at the bottom right indicates that, that angle equals 90.
all the angles in a triangle add up to equal 180 so we subtract the angles that are given from 180 to get the missing angle
180-90-32=58
n=58
Three times a number w is less than 18.
Answer:
3w < 18
Step-by-step explanation:
To do 3 times if you put 3 against a variable that means to multiply. Since a number is unknown it turns into variable which is w in this case. Then less than 18 to do the less than symbol, think of them like crocodile they always eat the bigger number and since 3w is less than 18 the croc < eats 18. Thats just an easy way of remembering. Hope this helps :)
distributive property to find (7x-3)(4x+6)
Answer:
2
8
2
+
3
0
−
1
8
Step-by-step explanation:
i don't know why its upright
How many pints are in 15 1/4 gallons?
Answer:
122
Step-by-step explanation:
Answer:
122
Step-by-step explanation:
8 pints in 1 gallon
multiply 15.25 and 8 to get answer of 122
jane had a fourth idea for her allowance:Give jane $0.50 in january then multiply her allowance by 4 each month
Answer:First, identify what the question is asking for.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the numbers.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?
Finally, convert everything into an equation.
42
=
2
⋅
blouse
−
14
Now, solve the equation.
56
=
2
⋅
b
l
o
u
s
e
b
l
o
u
s
e
=
28
The blouse was 28 dollars.
Step-by-step explanation:
someone plz help this is due today
3x+5x+1=17
x=2
y=5•2+1
y=1
(x, y)=(2, 11)
3x+2(4x+5)=43
x=3
y=4•3+5
y=17
(x, y)=(3, 17)
I think I did it right and I hope I helped you
PLEASE HELP!!! i tryed by i thing I got it wrong I WILL GIVE BRANLIESS
Answer:
Dinner: $45
Dinner after discount: $29.25
Tax after discount: $31.59
Tip before the discount: 6.75
Total cost: 38.34
Step-by-step explanation:
Hope it helps! :) (double check my work to be sure)
Can anyone help me on this pls? <3
Answer:
EasY
Step-by-step explanation:
Okay so basically like terms are when the variable are the same
so like 5n can go with ones with the same variable which is n
so 5n as a like term would be 7n it couldn't be like 8r because it isn't the same variable as 5n
does this help?
can you reask or something?? do i answer all the q 11 stuff?? im not sure how the logic works, and it is covering the other stuff, ill answer there, i have the image in my tab
Raúl is mixing a cleaning spray. The instructions say to combine 2 cups vinegar with 1 cup water. Raúl wants to make 15 cups of spray. How many cups of vinegar and how many cups of water should Raúl use?
Hey I’m confused can you guys help?
Step-by-step explanation:
Volume is calculated by finding out the product of length, width and height so
the correct option is B.
B. The volume is the product of the area of the base, 3x(3x + 4) and the height, 3x - 1.
Hope it will help :)