Answer:
28
Step-by-step explanation:
Use the pythagorean theorem and solve for a:
a² + b² = c²
a² + 21² = 35²
a² + 441 = 1225
a² = 784
a = 28
So, the missing length is 28.
I need to find the value of X if someone could help that’ll be great! Thank you
for questions 3 & 4. Determine whether the triangles are similar. If similar, state how (SA, SSS, or SAS), and write a similarity statement
9514 1404 393
Answer:
3. ΔBEA ~ ΔBCD by AA
4. ΔPXY ~ ΔPQR by SSS
Step-by-step explanation:
3. The missing angle in ΔBEA is angle E, which has measure ...
∠E = 180° -42° -53° = 85°
So, angle E matches angle C, and the vertical angles match. The two triangles are similar by AA. The corresponding angles are B:B, and E:C, so the similarity statement needs to reflect that: ΔBEA ~ ΔBCD.
__
4. Shortest-to-longest, the side ratios of the two triangles are ...
12 : 15 : 18 = 4 : 5 : 6
and
16 : 20 : 24 = 4 : 5 : 6
Side ratios are proportional, so the triangles are similar by SSS. The similarity statement can reflect the same ordering: ΔPXY ~ ΔPQR.
I need help please thanks.
Answer:
w =20.3
Step-by-step explanation:
i hope this helps you sorry i was late for your last question.
Answer:
w=20.3
Step-by-step explanation:
Please hurry
Lacy is running to raise money in a fundraiser. If her goal is to run 75 miles, how many full days would she leave have to run if she ran the distance of 3.5 miles each day?
Answer: 21 Full days
Step-by-step explanation:
Divide 3.5 by 75
Answer:
22
Step-by-step explanation:
You divide the number of miles by the miles per day and you get 21.43 and it says whole days so you have to round up to 22 days.
Examine the work shown. Explain the error and find the
correct result
204-16)-(-30)
2(-12) - (-30)
24-(-30)
54
Answer:6.8
or x = 102/15
step by step explanation:
30x=204
204/30
Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answer: a=1, b=-12. I don’t know how to get the answer. Please show your workings and explain. If you help me, I will give Brainliest Answer Award to you. The topic is simultaneous equations, algebra. This question is from a Grade 8 workbook.
Answer:
a = 1, b = - 12
Step-by-step explanation:
we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:
(x - 3)(x + 4)
x^2 + - 3x + 4x - 12
x^2 + x - 12
therefore a = 1 and b = - 12
Step-by-step explanation:
firstly substitute x=3 into [tex]x^{2} +ax+b=0[/tex]
[tex]3^{2} +3a+b=0[/tex]
9+3a+b = 0
b = -3a-9
secondly substitute x=-4 into [tex]x^{2} +ax+b=0[/tex]
[tex](-4)^{2} +(-4)a+b=0[/tex]
16-4a+b = 0
b = 4a-16
combine the equations above,
-3a-9 = b = 4a-16
so -3a-9 = 4a-16
7a = 7
a = 1
then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)
b = 4(1)-16 = -12 or b = -3(1)-9 = -12
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she finishes. Jason earns $10 for every 250 envelopes he finishes.
A) Create tables, draw graphs, and write equations that show the earnings, y, as functions of the number of envelopes stuffed, x, for both Anna and Jason.
Answer:
The answer is below
Step-by-step explanation:
A) i)
For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 10 20 30 40 50
ii)
For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x[/tex]
The table is:
x: 200 400 600 800 1000
y: 8 16 24 32 40
The graph is plotted using geogebra online graphing
Please help due in 10 minutes
It's been awhile since I've done this but I think that D is the answer hope this helps
At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score
Answer:
Harry has a score of 30
Step-by-step explanation:
Let us represent their scores as:
Nathan = x
Harry = y
Jack = z
At the end of a football season a coach is adding up everyone's scores
Nathan has scored 11 more than harry
x = y + 11
Harry has scored 10 more then jack.
y = z + 10
z = y - 10
If the total of their scores is 91
x + y+ z = 91
y + 11 + y + y - 10 = 91
3y + 1 = 91
3y = 91 - 1
3y = 90
y = 90/3
y = 30
Since Harry's score is represented as y, Harry has a score of 30
Aaron buys erasers for his pencils. Each eraser costs $0.20. The total cost is $1.20. How many erasers does Aaron buy? Solve this problem any way you choose.
HELP PLEASE QUESTION IS IMAGE
9514 1404 393
Explanation:
There are several possible properties in each case. We have shown one of them.
a) squares and rectangles have four (4) angles of 90°.
b) squares have sides of equal length; rectangles may not.
c) rhombi and squares have diagonals that bisect each other at right angles
d) rhombi have sides of equal length; parallelograms may not.
e) opposite sides of all parallelograms are equal length.
A number plus 1/3 of the number can be expressed as
Answer:
1/3 + n
Step-by-step explanation:
Let "n" be any number. Keep in mind that plus means addition.
1/3 + n
Best of Luck!
Answer:
n + 1/3n
Step-by-step explanation:
2. When three or more lines intersect at one point, they are
I think of a number, multiply it by three, and add four. I get twenty two.
a) Using the statement above, form an equation.
Use the letter 'x' for the unknown number.
3x+4=22
b)
Solve the equation.
Step-by-step explanation:
3x+4=22
3x=22-4
3x=18
x=18/3
x=6
Answer:
the answer should be like 3×6+4=22
Step-by-step explanation:
im not sure with A I mean, forming an equation, I guess it should be 3x+4=22 that's all as texted and for B
what I did was subtract 4 from 22 which I got 18 and then I divided 18 with 3, since the question said it was multiplied by 3.
22-4=18.
18÷3=6. 6×3=18
3×6+4=22
I hope this will help.
AABC is shown below. GE = -3y + 18 and GF = 5y + 2.
E
B
F
Find the measure of the radius of the inscribed circle of AABC.
Radius =
Answer:
Radius = 12
Step-by-step explanation:
For an inscribed circle of a triangle ABC,
GE = GF = GD = radius of the inscribed circle
Therefore, (-3y + 18) = (5y + 2)
-3y + 18 - 5y = 5y + 2 - 5y
-8y + 18 = 2
-8y + 18 - 18 = 2 - 18
-8y = -16
8y = 16
[tex]\frac{8y}{8}=\frac{16}{8}[/tex]
y = 2
Therefore, GE = -3y + 18
= -3(2) + 18
= -6 + 18
= 12
Radius of the inscribed circle = GE = 12 units
The measure of the radius of the inscribed circle is 12 units
From the given diagram, GE = GF
Given the following parameters:
GE = -3y + 18 and:
GF = 5y + 2
Equating both expressions
-3y + 18 = 5y + 2
-3y - 5y = 2 - 18
-8y = -16
y = 16/8
y = 2
The measure of the radius of the inscribed circle is GE
GE = -3y + 18
GE = -3(2) + 18
GE = -6 + 18
GE = 12 units
Hence the measure of the radius of the inscribed circle is 12 units
Learn more on centroid here: https://brainly.com/question/25845737
Camelia misses 8 points on the first math test. She misses 5 points on the second math test. What integer represents the number of points Camelia misses on the first two tests?
Answer:
13.
Step-by-step explanation:
If she misses 8 on the first and 5 on the next, you need to add to find the total number of points missed overall. 8 + 5 = 13. Therefore, she missed 13 points on the first two tests.
PLS ANSWER THIS ASAP!!!I will put the brainiest!
Answer:
1. Segment LC ≅ Segment KB
2. Segment KJ ≅ Segment MC
3. Segment JB ≅ Segment ML
4. ∠L ≅ ∠B
5. ∠K ≅ ∠C
6. ∠M ≅ ∠J
7. ΔCML ≅ ΔKJB
8. ΔKBJ ≅ ΔCLM
9. ΔMLC ≅ ΔJBK
10.ΔJKB ≅ ΔMCL
(That's it, right?)
Step-by-step explanation:
Answer the question below about line 1 and line 2 shown below
Step-by-step explanation:
commutative property of multiplication
3 * 5 means 5 + 5 + 5 which equals 15.
5 * 3 means 3 + 3 + 3 + 3 + 3 which equals 15.
Whirred an equation in slope-intercept form of the line with the given slope m and y- intercept b.
m= -6, b= 9/2
Answer:
y=-6x+9/2
Step-by-step explanation:
Answer:
y = -5x +9/2
Step-by-step explanation:
Use the equation : y = mx + b
replace m and b
Analyze the diagram below and complete the instructions that follow.
Find the value of x and the value of y.
A. x =15, y = 10/3
B. r=20, y = 1013
C. x=20/3, y = 513
D. x= 15, y = 513
Answer:
D.
Step-by-step explanation:
Answer:
D boiis
Step-by-step explanation:
because i make it simple
An airplane on autopilot took 5 hours to travel 3,460 kilometers. What is the unit rate for kilometers per hour?
There are 12 members in a family and 8of them are males find the ratio of the number of females and the total numbers of members
Answer:
1 : 3
Step-by-step explanation:
Total members = 12
No. of Males = 8
No. of Females = 12 - 8 = 4
Ratio of the number of females and the total numbers of members = 4/12 = 1/3 = 1 : 3
Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?
g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x
Answer: C. g(x) = 1/2(3)^-x
Step-by-step explanation: IT ISNT D
This is also my 900th answer! :)
The reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is reflection?"It is a mirror image of the shape or graph of a function. "
For given question,
We have been given a function [tex]f(x)=\frac{1}{2}(3)^x[/tex]
We know that
A reflection over the y-axis interchanges positive x-values with negative x-values, swapping x and -x.
The reflection of the given function over the y-axis will be equal to
(Remember interchanges positive x-values with negative x-values)
[tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
Therefore, the reflection of the given function [tex]f(x)=\frac{1}{2}(3)^x[/tex] over the y-axis [tex]g(x)=\frac{1}{2}(3)^{-x}[/tex]
Learn more about the reflection of function here:
https://brainly.com/question/13206012
#SPJ2
Which cereal is a better buy and how much does it cost per ounce? Cereal A: 18 oz for $3.96 or Cereal B: 24 oz for $4.80?
Answer:
Cereal B
Step-by-step explanation:
You need to divide the price by its ounces to find the price per ounce.
Cereal A is 3.96/18= 0.22 per ounce
Cereal B is 4.80/24= 0.20 per ounce
This shows that cereal B is cheaper per ounce
(1 + 2) x 2
it equals 6
Answer:
yes you have to use PEMDAS
Step-by-step explanation:
HELP PLEASE, QUESTION IS IMAGE
Answer:
angle 1= agle 2 corresponding ang 3+2 linear pair ang m1=n3 hence angle 1=angle 3
what time does the clock shows?
Answer:
Any from 1 to 12
Step-by-step explanation:
Answer:
7:08
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzz
Answer:
(y+1)^3
Step-by-step explanation:
power 5 is subtracted by power 2 as our rule says that powers when divided have to be subtracted. Hence the above mentioned ans comes.
Hope this helps you
Answer:
(y + 1)³
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(y+1)^5}{(y+1)^2}[/tex] ← with a = (y + 1 ) , then
= [tex](y+1)^{(5-2)}[/tex]
= (y + 1)³
A length of pipe is 6cm to the nearest meter. Complete the error interval for the length of pipe.
Answer:
My answer
Step-by-step explanation:
First you convert it and it is 0.06 m. This is because
Conversion factor: 1 m = 100 cm
1) m = cm / 100
2) m = 6 / 100
3) m = 0.06
Then you do the error interval. Error interval – the range of values (between the upper and lower bounds) in which the precise value could be. Thn you caculate it by when you do this x2 then do <. For example 5>3. The do that there now you should have the answer. Dont frget put L in frount of 0.06 x2. Thank you. Hoped this helped! :)
4.) Resolva por x: x + 3x + 2 = 0
Answer:
4x+2=0-2
4x=-2÷4
x=0.5