Answer:
Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.
Mathematically, the transitive property can be written as follows;
When X = Y, and Y = Z, then also X = Z
Part 2: The transitive property of equality can be represented using angles as follows
Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.
Step-by-step explanation:
7(3y-5) -2 (10+4y)
-distributive property-
Answer:
13y - 55
Step-by-step explanation:
Given
7(3y - 5) - 2(10 + 4y) ← distribute both parenthesis
= 21y - 35 - 20 - 8y ← collect like terms
= 13y - 55
Answer:
When using the distributive property, we can operate parenthesis:
[tex]a*(b+c)=ab + ac[/tex]
So, in our case:
[tex]7(3y-5) -2(10+4y)[/tex]
[tex]7*3y+7*(-5) - 2*10-2*4y[/tex]
[tex]21y -35 - 20 - 8y[/tex]
[tex]=13y - 55[/tex]
So now we know the result is 13y - 55
Find the measures of the angles of a triangle if the measure of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 48.
Answer:
38°, 66° and 76°Step-by-step explanation:
A triangle consists of 3 angles and sides. The sum of the angles in a triangle is 180°. Let the angle be <A, <B and <C.
<A + <B + <C = 180° ...... 1
If the measure of one angle is twice the measure of a second angle then
<A = 2<B ...... 2
Also if the third angle measures 3 times the second angle decreased by 48, this is expressed as <C = 3<B-48............ 3
Substituting equations 2 and 3 into 1 will give;
(2<B) + <B + (3<B-48) = 180°
6<B- 48 = 180°
add 48 to both sides
6<B-48+48 = 180+48
6<B = 228
<B = 228/6
<B =38°
To get the other angles of the triangle;
Since <A = 2<B from equation 2;
<A = 2(38)
<A = 76°
Also <C = 3<B-48 from equation 3;
<C = 3(38)-48
<C = 114-48
<C = 66°
Hence the measures of the angles of the triangle are 38°, 66° and 76°
11m - (6m - 5) = 25 solve for m please
Answer:
m = 4Step-by-step explanation:
[tex]11m - (6m - 5) = 25\\[/tex]
Use - to open the bracket
[tex]-(6m-5)= -6m+5[/tex]
[tex]11m-6m+5=25\\[/tex]
Collect like terms and simplify
[tex]11m-6m=25-5\\5m = 20[/tex]
Divide both sides of the equation by 5
[tex]\frac{5m}{5} = \frac{20}{5} \\\\m = 4[/tex]
find the distance between each pair of points E(-1, 0),F(12, 0)
Answer:
The answer is
[tex]13 \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E(-1, 0) and F(12, 0)
The distance between them is
[tex] |EF| = \sqrt{ ({ - 1 - 12})^{2} + ({0 - 0})^{2} } \\ = \sqrt{ ({ - 13})^{2} } \\ = \sqrt{169} [/tex]We have the final answer as
[tex]|EF| = 13 \: \: units[/tex]Hope this helps you
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $1700 and her stock in Company B was worth $500. The stock in Company A has increased 20% since last year and the stock in Company B has increased 12%. What was the total percentage increase in the investor's stock account?
Answer:
All together she had a 18.1818182% raise but 18% raise rounded.
Step-by-step explanation:
First you need to find how much each stock increased.
So:
1700 to 2040
500 to 560
Add them.
1700 + 500 = 2200
2040 + 560 = 2600
Then find the raise. You can usally just find the amount for each percent or find the over all raise.
1% of 2200 is 22
400/22 = 18.18
Evaluate the function below:
Replace x in the equation with 2.
-2(2) +4 = -4 + 4 = 0
The answer is 0
Please please help please!!
Answer:
The vertex is at (-2,-8)
Step-by-step explanation:
You go left 2, and down 8, and then it's a scale of 1
Let p: the book is interesting and q: the book has pictures.
The notation p q represents the statement "The book is interesting
the book has pictures."
The notation p q represents the statement "The book is interesting
the book has pictures."
The notation qv p represents the statement "The book has pictures
the book is interesting."
The notation 9 → p represents the statement "The book is interesting
the book has pictures.
Answer:
The notation p ∧ q represents the statement “The book is interesting
✔ and <-- Answer
the book has pictures.”
The notation p ↔ q represents the statement “The book is interesting
✔ if and only if <-- Answer
the book has pictures.”
The notation q ∨ p represents the statement “The book has pictures
✔ or <-- Answer
the book is interesting.”
The notation q → p represents the statement “The book is interesting
✔ if <-- Answer
the book has pictures.”
Step-by-step explanation:
I took the test aswell.
please help asap, thank you!!
If X = {−1, 0, 2} and Y = {1, 2, 5}, find X ∪ Y.
Answer:
(0,-1,2,5)
Step-by-step explanation:
[tex]X = (-1, 0, 2)\\Y = (1, 2, 5)\\ \\X U Y = ?\\= (-1, 0,2,5)[/tex]
A rectangle where the ratio of the width to length is 5 : 9.
If the perimeter of the rectangle is 448 in, find the length and width.
Steps to solve please
Answer:
length=80m
breadth=144m
hope it is helpful for you
If a rectangle has a length of 3x + 5 and a width of x + 1, what is the perimeter
Answer:
perimeter = 8x+12
Step-by-step explanation:
perimeter of a rectangle = 2(Length + width)
= 2[(3x+5)+(x+1)]
=2( 3x+5+x+1)
=2(4x+6)
perimeter= 8x+12
Help needed ASAP will give brainliest
Answer:
its b 3/11
Step-by-step explanation:
the decimal goes 0.2727272727...
easy 10 points and brainliest :)
the line is vertical
hits the (0,0) but still on the y axis
The division property of 5x - 10 = 0
Answer:
x=2
Step-by-step explanation:
5×-10=0
5×=10
so you divide both sides by 5
Answer:
x=2
Step-by-step explanation:
f(x)=8x^2 -800 Enter the solutions from least to greatest.
Answer:
x = -10, 10
Step-by-step explanation:
Step 1: Write out function
f(x) = 8x² - 800
Step 2: Set equal to 0
0 = 8x² - 800
Step 3: Add 800 on both sides
800 = 8x²
Step 4: Divide both sides by 8
x² = 100
Step 5: Take square root on both sides
x = ±10
Step 6: Arrange
-10 < 10
So x = -10, 10
There are 75 balloons in each package. How many balloons are in 20 packages?
1,405
1,500
95
150
1,500
Step-by-step explanation:
You multiply 75 times 20
A pole that is 3.3 meters tall casts a shadow that is 1.36 meters long. At the same time, a nearby building casts a shadow that is 47.75 long. How tall is the building?
Answer:
Height of building is 115.86 m.
Step-by-step explanation:
This is problem of proportion.
a:b = c:d
____________________________________________________________
height of pole = 3.3 m
length of shadow of pole = 1.36 m
ratio
height of pole: length of shadow of pole = 3.3 : 1.36
________________________________________________
let the height of building= x m
length of shadow of building= 47.75 m
ratio
height of building: length of shadow of building= x: 47.75
ratio in both the cases will be same
thus,
x/47.75 = 3.3 / 1.36
=> x = 3.3 / 1.36 * 47.75 = 115.86
Thus, height of building is 115.86 m.
3(10 + 2) could be used to simplify which of the following problems? 130(26) 13(12) 13(20)
Answer:130(26).
Step-by-step explanation: It could basically be used to simplify 130(26) because if you multiply the number on the outside of the parentheses (13) with the numbers inside the parenthesis(10+2), you will get 130(26).
Three siblings are one year apart inage. If the oldest is x years old, what is the average of their ages?
Answer:
x - 1
Step-by-step explanation:
x
x - 1
x - 2
x + (x - 1) + ( x - 2)
3x - 3
3(x - 1)
Average
3(x - 1)/3
x - 1
The coordinates of point A are 400 units of X and 40 units of Y. The coordinates of point B are 480 units of X and 60 units of Y. With X on the horizontal axis and Y on the vertical axis, the slope of the line between points A and B is
Answer:
The slope of the line between points A and B is 0.25
Step-by-step explanation:
Here in this question, we simply aim at calculating the slope of the line between two given points;
The points in question are;
A(400,40) and B(480,60)
Mathematically, the slope of the line can be calculated using the formula:
slope = (y2-y1)/(x2-x1)
Where ;
x1 = 400
y1 = 40
x2 = 480
y2 = 60
Substituting the values, we have;
slope = (60-40)/(480-400) = 20/80 = 1/4 = 0.25
T is in the interior of angle PQR. Find each of the following. Hint: Draw each angle.
8. mPQT if mPQR=25 degrees and mRQT=11 degrees.
Answer:
13 degrees
Step-by-step explanation:
mPQR=25 degrees , mRQT=11 degrees.
mPQT=PQR-RQT
MPQT=25-11=13 degrees
0.5% of a is 3 then what is a?
Answer:
a = 600Step-by-step explanation:
0.5%a = 3
×10 ×10
5%a = 30
×20 ×20
100%a = 600
a = 600
what is the fifth term of (x-2y)^7
Answer:
560x^3y^4.
Step-by-step explanation:
The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r
We want the fifth term so r = 5 - 1 = 4:
(4 + 1)th term = 7C4 x^(7-4) (-2y)^4
= 35x^3 16y^4
= 560x^3y^4.
f(0) f(0)=3(0)^2-10(0)-4
(-12a^3b^5)/(4a^2b^7)
state any restrictions on the variable(s) if they exist.
PLEASE HELP DUE TODAYY
Restrictions are that 'a' and 'b' cannot be zero. We could write [tex]a \ne 0[/tex] and [tex]b \ne 0[/tex] as shorthand.
The restrictions are put in place to ensure that you can't divide by zero.
=========================================
Explanation:
The coefficients -12 and 4 divide to -12/4 = -3 which is the coefficient for the answer in the numerator.
The 'a' terms divide to (a^3)/(a^2) = a^(3-2) = a^1 = a. We subtract the exponents to simplify.
The b terms are handled in a similar manner to get (b^5)/(b^7) = b^(5-7) = b^(-2) = 1/(b^2)
Putting all three results together has us end up with (-3a)/(b^2) where neither 'a' nor b are zero to prevent a division by zero error. We cannot have 0 in the denominator.
3/7 divide by 2/3 what is that answer
Answer:
9/14
Step-by-step explanation:
to divide fractions flip the second fraction and then multiply
Answer:
9/14
Step-by-step explanation:
3/7 divided by 2/3 is equal to 3/7 times 3/2 which is 9/14
Rewrite using a negative exponent. 5/x^2
Answer:
5x^-2 is rewritten as a negative exponent
Will give brainliest and good rating
Answer:
top right
Step-by-step explanation:
The boiling point of water is 212°F. The boiling point of helium is –452°F.
How would you compare the temperatures using an inequality?
A. –452°F < 212°F
B. –452°F > 212°F
C. 212°F < –452°F
D. 212°F > –452°F
Answer:
Option A and Option D are correct
Hey There!!