Answer:
a)3^-2 = 1/3^2 =1/9
b)4^-3 = 1/4^3 = 1/64
c)2^-6 = 1/2^6 = 1/64
Given: ∠ABC is a right angle and ∠DEF is a right angle.
Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.
What are the missing reasons in the steps of the proof?
A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.
A:
B:
C:
Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
Gill had less money than Roddy had
After Roddy spent 40% of his money,
he had $14 less than Gill. How much
money did Gill initially have?
Answer:
50
Step-by-step explanation:
Answer: the answer is 50
Step-by-step explanation:
pleasee help me ASAP ITS DUE SOON
I just need to know
1. slope
2. y-intercept
3. slope intercept form
(-5, 2) ⇒ x₁ = -5, y₁ = 2
(7, -1) ⇒ x₂ = 7, y₂ = -1
Slope:
[tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-2}{7+5}=\dfrac{-3}{12}=-\dfrac14}[/tex]
Slope intercept form:
y = mx + b
Plug m and (7, -1) :
-1 = -¹/₄(7) + b
-1 + ⁷/₄ = b
b = ³/₄ ← y-interceptTherefore slope intercept form of h(x):
h(x) = -¹/₄x + ³/₄Answer quick! Will give brainliest
Answer:
Blank #1 : 2S + 4B ≥ 36
Blank #2: 1
Step-by-step explanation:
Blank#1: that is the equation
Blank#2: 8 x 4 =32 one bracelet is 4 32 + 4 =36, the amount needed
Gaby says that is equivalent to . Do you agree or disagree? Explain your thinking.
Answer:
I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.
Step-by-step explanation:
idk if that's the same question i had, but that was the answer for mine. hehehe good luck.
is that on edge?
Factor completely 3x^2+y
A.) x(3x+y)
B.) y(3x^2)
C.) xy(3x+1)
D.) prime
Answer:
Non of the above
Step-by-step explanation:
[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]
Answer:
D. Prime
I just took the test
Step-by-step explanation:
Please help! I will give brainliest (or however you spell it) to whoever gives me the answer!
Answer:
CDF is scaled down by a factor of 1/2 of ABC
Step-by-step explanation:
Answer:
AAA (angle angle angle) property.
Step-by-step explanation:
Maroon angle x in the first triangle is equal to the the Maroon angle x in the second triangle and the Orange angle y in the first triangle is equal to the Orange angle y in the second triangle with respect to the property of corresponding angles, and the third angle is 90° which is common between the two triangles hence AAA property is applied because all three angles are similar.
How many sides does a regular polygon have if each of its interior angles is 140 degrees?
- Step by step explanation
Find the measure of the indicated side. Round to the nearest tenth.
Answer:
x=23.5
Step-by-step explanation:
[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]
The population of new york city in 2013 was about 8,406,000 people which number best appoximates the population as a single digit times a power of ten
Answer:
8 * 10^6
Step-by-step explanation:
The question is asking us to represent the value 8,406,000 in standard. The standard form of an expression is expressed as;
A * 10^n
A is any integer between 1 and 10
n is any integer.
Given the value 8,406,000
8,406,000.
We are going to move the decimal point at the end to first digit value. This point will be shifted 6 times to have;
8,406,000 = 8.6 * 10^6 (Note that n is positive since the value given is greater than 1)
Since we are to express as a single digit times a power of ten, the required answer will be 8 * 10^6
A plant is already 8.75 meters tall, and it will grow 25 centimeters every month. the plants height, H (in meters), after x months is given by the following function H(x)=0.25x+8.75 What is the plants height after 40 months?
Answer:
18.75 meters
Step-by-step explanation:
8.75 + 0.25(40) = 18.75
20 points each math answer with optional explination
Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an equation?
Options in picture
Please Answer
Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
Answer: The triangles are not similar.
===============================================
Explanation:
Create a 3x3 table. It has 3 rows and 3 columns.
Above the top row, we'll have the side lengths of triangle VUW
Along the left side of the table, we'll have the lengths of triangle LNM
Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.
Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.
After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.
Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.
Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.
Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50 per month
PLEASE HELP ME ASAP!! ILL GIVE YOU POINTS AND BRAINLIEST IF YOU ANSWER ALL 3 TRUE OR FALSE QUESTIONS CORRECTLY.
A) Slope=8 True or False?
B) Unit Rate= $8/hour True or False?
C) The equation of this relationship is y= 1/8x True or False?
Answer:
True, True, False.
Step-by-step explanation:
A) Rise/Run is 8/1
B) 8 dollars are earned every hour
C) Correct equation is y=8x
Which of the following represents a line parallel to the y-axis
Answer:
c) x=4
Step-by-step explanation:
Find the products in simplest form. 12 25 • 15 16 =
Answer:
9/20
Step-by-step explanation:
12 * 15
---------
25 x 16
180/400
To reduce, find the greatest common factor of 180 and 400.
180 / 20
-----------
400 / 20
Your answer would simplify to 9/20.
please answer
...............
Answer:
A)20°
Step-by-step explanation:
As we know a triangle contains 180°
So according to the question
The equation is
25°+135°+x=180°
160°+x=180°
x=180°-160°
x=20°
Answer:
<LNK = 20°
Step-by-step explanation:
[tex]angles \: of \: triangle \: add \: upto \: {180}^{0} \\ in \: that \: scalene \: triangle \\ {25}^{0} + {135}^{0} + < lnk = {180}^{0} \\ < lnk = {180}^{0} - ( {135}^{0} + {25}^{0} ) \\ < lnk = {20}^{0} [/tex]
the real square root of -16
Answer:
ur answer is 4 hope it helps
Move each point to the table to show what quadrant it is in when plotted on a coordinate plane.
Quadrant 1
Quadrant II
Quadrant III
Quadrant IV
(6,-1)
(-3,4)
(2,4)
(-1,-5)
Answer:
quadrant 1 - (2,4)
quadrant 2 - (-3,4)
quadrant 3 - (-1, -5)
quadrant 4 - (6, -1)
Step-by-step explanation:
quadrant one consists of both x and y being positive.
quadrant two being the x is negative but the y is negative.
quadrant 3 has its x and y both negative.
finally, quadrant 4 has its x positive, but y is negative.
Divide 3ab by 2c in algebraic expression
Answer:
[tex]\frac{3ab}{2c}[/tex]
Step-by-step explanation:
An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.
Given: algebraic expressions are [tex]3ab,2c[/tex].
To divide: [tex]3ab[/tex] by [tex]2c[/tex]
Solution:
[tex]\frac{3ab}{2c}[/tex]
There are no common terms in numerator and the denominator.
So, answer is [tex]\frac{3ab}{2c}[/tex]
Is 4/5 greater than 5/6?
Answer:
5/6 is greater than 4/5
Step-by-step explanation:
4/5 = 0.8
5/6 = 0.833333
Answer:
no
Step-by-step explanation:
5/6 is greater than 4/5
The regular price of a t shirt is $18 what is the discount price???
Answer: $14.40
Step-by-step explanation:
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
Hope this helps! :D
I will give brainliest
A small scoop holds 75% as much as a large scoop.
If the small holds 36 units, how much does the large hold?
Answer:
Large scoop holds 48 units.
Step-by-step explanation:
Large: x
Small: .75x = 36
x = 48 units
USLI5
3) Graph the quadratic function given in factored form and identify the key features. Include at least 5 points on your
graph.
y=(- 3)(x + 1)
Zeros:
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:
U3LT4
4) Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
3. Graph the given quadratic function in the factored form as shown below.
4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
The given quadratic function in factored form is y = (x - 3)(x + 1).
Graph of the given quadratic function in the factored form as shown below.
Zeros: The zeros of the function occur when y = 0.
So the zeros of the function are x = 3 and x = -1.
Axis of Symmetry:
The axis of symmetry is x = (3 + (-1)) / 2 = 1.
Vertex:
The vertex is (1, -4).
Y-intercept:
The y-intercept is (0, -3).
Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).
Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.
Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)
Using the given information, the vertex form equation can be written as:
[tex]y = a(x - (-1))^2 + 3[/tex]
To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:
-5 = a(1 - (-1))² + 3
-5 = a(2)² + 3
-5 = 4a + 3
-8 = 4a
a = -2
Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:
y = -2(x + 1)² + 3
Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.
Learn more about quadratic function here:
brainly.com/question/14083225
#SPJ2
pleaseeee helppppp correctly !!!!!!!!!!!!!! will mark Brianliesttttt !!!!!!!!!!!!!!
Answer:
probably 25
Step-by-step explanation:
Which equation is equivalent to 3 + 5(x + 2) = 12? A 8x + 16 = 12 B 8x + 2 = 12 C 5x + 5 = 12 D 5x + 13 = 12
Answer:
D 5x + 13 = 12
Step-by-step explanation:
3 + 5(x + 2) = 12
3 + 5x + 10 = 12
5x = -1
x = -1/5
D) 5x + 13 = 12
5x = 12 - 13 = -1
x = -1/5
Enter the sum in simplest form. pls answer I give brainliest
Answer:
2/5
Step-by-step explanation:
2/10+2/10=4/10
4/10 divided by 2/2= 2/5
Hope this helps!
Answer;
2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.
2/10 + 2/10 = 4/10
4/10 = 2/5
Hope this Helps!
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%