Since they are collinear, it means the BFD is a straight line and all the angles formed by the lines resting on a straight line add up to [tex]180[/tex] degrees. So, [tex]65 + 65 + x = 180[/tex]
When we add [tex]65[/tex] and [tex]65[/tex] we get [tex]130[/tex]. So,
[tex]130 + x = 180\\\\x = 180 - 130 = 50\\[/tex]
Henceforth, [tex]x[/tex] or angle [tex]AFE[/tex] is equal to [tex]50[/tex] degrees. :D
3. Choose the correct statement below:
a) All natural numbers are whole numbers.
b) All whole numbers are natural numbers.
Which of the following coordinates represents a solution to the equation 3x-2y=6?
3, -2
2, -3
0, -2
(0, -3)
Answer:
2,-3
Step-by-step explanation:
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
What percent of 100 is 67? *
(1) 100%
(2) 67%
(3) 167%
(4) 33%
67%
Convert fraction (ratio) 67 / 100 Answer: 67%
What Is Science?
100% (3/3)
Earth and Space Systems
67% (2/3)
Gravity's Role in the Universe
67% (2/3)
Interactions of the Earth, Moon, and Sun
67% (2/3)
Planets and Moons
100% (3/3)
Stars, Asteroids, and Comets
67% (2/3)
Energy Flow
100% (3/3)
Weathering and Erosion
100% (3/3)
The Rock Cycle
100% (3/3)
Plate Tectonics
100% (3/3)
Earth's Changing Surface
100% (3/3)
Matter and Energy
100% (3/3)
The Cycles of Earth
100% (3/3)
Natural Resources
100% (3/3)
answer this i need it quick PLEASE
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is Option four .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Please Helpp Asap It’s due Tomorrow
Answer:
y = 2.5
Step-by-step explanation:
if y = 0
x= 2.5
u do the y as 0 and x as 2.5
and then draw a straight line
Rearrange to make x the subject: 3x+8= has x+6y
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
how do you solve negative exponents?
Answer:
Step-by-step explanation:
Negative Exponent Rule:
, this says that negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
What is the measurement of YZ and the measurement of angle Y
Answer:
Yz=12 cm
m<Y=26
Step-by-step explanation:
angle Z is congruent to angle X. Angle z also corresponds to side XY, which is 12cm. This means that side YZ (corresponds to angle x) is 12 cm.
77+77+x=180
154+x=180
x=26
The length of a piece of string with 4cm
cut off. Let s represent the unknown
length of string in cm.
Answer:
is this the full question?
Step-by-step explanation:
s - 4 cm represents the length of the piece of string after cutting off 4 cm. "s" is the unknown length.
A mathematical statement proving the equality of two expressions is known as an equation. Variables, constants and mathematical operations like addition, subtraction, multiplication, division and exponentiation are frequently included. Finding the value of the unknown variable that equalizes both sides of the equation is the aim of equation solving.
Let s = the unknown length of the string in cm.
the length of the string with 4 cm cut off:
The equation "s - 4 cm" represents the length of the string after cutting off 4 cm. "s" is the unknown length that needs to be determined.
learn more about equation here
brainly.com/question/33622350
#SPJ2
The complete question is- Write in a shorter way form of equation: a The length of a piece of string with 4cm cut off. Let s represent the unknown length of string in cm.
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (1, 11) and
B (3, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
Answer:
y = -5x+16
Step-by-step explanation:
I think this is the answer. The slope of A and B is -5x, because
(1-11)/(3-1) = -5
Then solve for b by inputting one of the points
11 = -5(1) + b
11 = -5 + b
b = 16
Put it all together.
I think I answered this correctly..?
find the derivative of respect to x.
[tex] sin3x[/tex]
Answer:
Dx [sin3x] = 3cos3x
General Formulas and Concepts:
Calculus
Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]Derivative of trig functionsBasic Power Rule: f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
sin3x
Step 2: Find derivative
Apply operative: Dx [sin3x]Chain Rule: cos3x · 3Simplify: 3cos3xA cake recipe contains sugar and flour in the ratio 3 : 2.
How much of each ingredient is needed to make 600 gram of such a cake?
Answer:
360 g of sugar and 240 g of flour
Step-by-step explanation:
add the parts of the ratio, 3 + 2 = 5 parts
Divide the total by 5 to find the value of one part of the ratio.
600 g ÷ 5 = 120 g , thus
3 parts = 3 × 120 g = 360 g ← amount of sugar required
2 parts = 2 × 120 g = 240 g ← amount of flour required
Answer:
360 grams of sugar and 240 grams of flour
Step-by-step explanation:
First, find the sum of the parts of the ratio: 3 + 2 = 5
Divide the total amount (600) by the amount of parts:
600/5 = 120
Now multiply 120 by the amount of each part of the ratio:
210 * 3 = 360
360 * 2 = 240
360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.
Hope this helps :)
Given the figure above, determine
Answer:
The ∠B is 60*
Step-by-step explanation:
Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)
Answer:
x = -1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - (x + 4) + 1 = 3 - 2(x + 6)
Step 2: Solve for x
Distribute: 5x - x - 4 + 1 = 3 - 2x - 12Combine like terms: 4x - 3 = -2x - 9Add 2x on both sides: 6x - 3 = -9Add 3 to both sides: 6x = -6Divide both sides by 6: x = -1Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add): 5(-1) - 3 + 1 = 3 - 2(5)Multiply: -5 - 3 + 1 = 3 - 10Subtract: -8 + 1 = -7Add: -7 = -7The quotient of 4 ÷ 7 is a decimal number .How many digits in the quotient are overlined?
Answer:
2 digits in the quotient are overlined
write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative
Answer:
- 3 and - 2
Step-by-step explanation:
y = | x - 3 | - 2
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/8
a.
21°
b.
22°
c.
68°
d.
37°
Answer: A
Step-by-step explanation:
I plugged 3/8 into an inverse tangent calculator and got this answer.
Write the slope-intercept form of the equation
6y-9x=36
Answer:
y= -3x + 12
Step-by-step explanation:
Hope this helps ! :)
what has the product of 54 and sum of -15
Answer:
It should be
product = -9 and sum = -6
Step-by-step explanation:
Your welcome
Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11
Answer:
A
Step-by-step explanation:
Use the method of completing the square to express in vertex form.
Given
y = x² - 6x + 11
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 11 , then
y = (x - 3)² + 2 → A
Answer:A
Step-by-step explanation:
Suppose you are interested in signing up for a cell phone plan. There are two plans available.
Plan 1
$95 start-up fees
$20 per month after the 1st month
Plan 2
No start-up fee
$35 per month after the first month
Answer:
The first plan is better
Step-by-step explanation:
The first plan is better because after you do a yearly subscription you only have to pay 335 dollars. The second plan has to make you pay 420 dollars for a yearly subscription. Choose the 1st plan for a cheaper cost.
I need help with this equation
Step-by-step explanation:
whats the equation lol
Answer:
What equation......
Step-by-step explanation:
IDG
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
someone knows what number multiplied twice by the same can give me results 203!!!!!
Answer:
i will help you.......
( -3) ^-5 = 1/x what is the value of x?
Answer:
x= -243
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x.
Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.
Given:
There are 4 quarts in a gallon.
She wants to convert 6 quarts to a gallon.
To find:
Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.
Solution:
We have,
[tex]4\text{ quarts}=1\text{ gallon}[/tex]
[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]
[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]
Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.
the window of a room is 20m long and 14m wide. if the carpenter works to put a metallic frame around it which cost Rs.120 per metre, then how much will the metallic frame cost.
Answer:
33,600
Step-by-step explanation:
length=20m
wide=14m
area= 28m²
1m= 28
cost = 120*28= rs33600 per m²
Hannah's favorite cereal comes in 2 sizes:
775 grams for $6.45 and
400 grams for $3.15.
Which is the better buy? Why?
(6h+8) - (3h+2) = 15
Answer:
h = 3
Step-by-step explanation:
This is the answer because:
1) Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!