Step-by-step explanation:
Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.
(X-3)(X-1)
Expand and simplify
[tex](x-3)(x-1)\\\\=x(x-1) -3(x-1)\\\\=x^2 -x -3x +3\\\\=x^2 - 4x+3[/tex]
In the figure, Line a is parallel to line b.
A. Which equation can be used to determine the value of x?
a
3x = 180 - 2x + 20
b
3x = 2x + 20
c
90 - 3x = 2x + 20
d
3x + 2x + 20 = 180
Answer:
b
Step-by-step explanation:
Evaluate the expression for a = -13.
Answer: -4
Step-by-step explanation: (9)+(-13) 9+−13 9−13 −4
Billy Bob just bought a new car his car costs $75,000. how much money will he pay in taxes for the car if the sales tax is 6%?
Answer:
4500
Step-by-step explanation:
Mary wants to buy one large pizza, one medium pizza, and three drinks. The drinks cost $p$ dollars each, the medium pizza costs two times as much as one drink, and the large pizza costs three times as much as one drink. If Mary started with $30$ dollars, how much money would she have left after making all of her purchases? Give your answer as an expression of $p
$ (30-8p)
Step-by-step explanation:
3 DRINKS- 3P
MEDIUM- 2p
large- 3p
so plus 8 p
Expand the following expression.
Answer:
C. [tex]\frac{39}{4}[/tex]x +[tex]\frac{39}{16}[/tex]
Step-by-step explanation:
distribute
Answer:
(39/4)x + 39/16
Answer C
Step-by-step explanation:
(13/4) * 3x + (13/4) * (3/4)
(39/4)x + 39/16
A rectangular briefcase is 16 1/2 inches wide, 12 3/4 inches tall, and 5 inches deep. What is the volume of the briefcase?
please help i will mark as brainlyst
Answer: 1051.875 inches^3
Step-by-step explanation:
To find the volume of the briefcase, we'll use the formula: L*W*H where;
L = Length
W = Width
H = Height
So we'll have (16.5×12.75×5) inches^3
Which will give 1051.875 inches^3
each ball has a diameter of 60mmwhich container has the smaller surface area?
If y varies inversely as (x-3). If y = 5 when x =7 find y when x=5
Given that y varies inversely as (x-3) .When y is 5 x is 7 . We need to find out the value of y when x is 5 .
• According to the Question ,
[tex]\sf\longrightarrow y \propto \dfrac{1}{x-3}\\\\\sf\longrightarrow y =\dfrac{k}{x-3}[/tex]
where k is a constant .And ,
[tex]\sf\longrightarrow 5 =\dfrac{k}{7}\\[/tex]
[tex]\sf\longrightarrow k = 7*5 \\ [/tex]
[tex]\bf\longrightarrow k = 35[/tex]
Now , when x is 5 ,
[tex]\sf\longrightarrow y = \dfrac{k}{x-3} \\ [/tex]
[tex]\sf\longrightarrow y =\dfrac{35}{5-3}\\ [/tex]
[tex]\sf\longrightarrow y=\dfrac{35}{2}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\red{\sf y = 17.5 }} [/tex]
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
$100.66
Step-by-step explanation:
First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438
She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.
Olivia makes $100.66
is 3/4 greater than 1? i need help please
Answer:
No.
Step-by-step explanation:
3/4 = 0.75.
=> 0.75 < 1
Hoped this helped.
Which expression is equivalent to 1/2b -15
Answer:
b-30
Step-by-step explanation:
1/2b-30×2=b-30
hope this helpd
Liza bought 5.035 kg of chicken. Write its weight in words.
Answer:
five point zero three five
Which inequality represents this graph?
A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1
Answer:
D) y < 1/3x - 1
Step-by-step explanation:
the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.
Find the slope (-10,-3) (7,2)
Answer:
Let (-10,-3) be (x1, y1)
and (7, 2) be (x2, y2).
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
Substitute in values:
[tex]\frac{2-(-3)}{7-(-10)} =\frac{5}{17}[/tex]
Answer:
5/17
Step-by-step explanation:
Slope = Change in /Change in X
Slope = 2 - (-3) / 7 - (-10)
Slope = 5/17
-Chetan K
A cyclist travels 122.5 km in 2 hours. Calculate his speed. *
61.25 km/hr
.016 km/hr
65 km/hr
Answer:
61.25
Step-by-step explanation:
speed = distance / time
speed = 122.5 km / 2 hour
= 61.25
An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.
Step-by-step explanation:
9.75/.75 = 13
which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.
as 4 volunteers are needed in each section
so keeping this in mind 13×4 = 52
therefore, 52 volunteers race organizer need.
hope this answer helps you dear! take care
Help Me in my Math Thanks :)
Answer:
Step-by-step explanation:
Asked: How many square tables are needed to place 100 pupils?
Given: Square table each has 4 pupils to sit
operation : Multiplication, subtraction, Division
Solve:
Number of pupils in 9 rectangular tables = 9*8 = 72 pupils
Remaining pupils = 100 - 72 = 28
Number of square table needed =28 ÷ 4 = 7
7 square tables are needed.
how can I solve this
1/2 of 20
Answer:
Just multiply over here
1/2 *20
1/2 * 20/1
20/2
10
answer is 10
Answer:
10
Step-by-step explanation:
multiply (1/2) by 20
10
resolve into factors : a^3 + 35b^3 + (a -b)^3
Step-by-step explanation:
a^3+35b^3+a^3-b^3
2a^3+34b^3
Answer:
2a^3 + 34b^3 - 3a^2b + 3ab^2
will give brainliest !!
Answer:
Triangle A'B'C'
A'B'= 7.81
B'C'= 6
A'C'=5
C) Perimeter= 18.81 Area 15
Triangle ABC
AB=5
BC=4
AC=3
c) Perimeter = 12 Area = 6
Step-by-step explanation:
Triangle ABC work
Perimeter 4+3+√4^2+3^2=12
Area 4*3/2=6
Triangle A'B'C' work
Area 6*5/2=15
Perimeter 6+5+√6^2+5^2=18.81025
Please give brainliest
Solving Systems of Three equations
(please help i will make you brainliest!!!)
Answer:
2) x = -4; y = 0; z = -2
4) x = 4; y = 2; z = 0
Step-by-step explanation:
2)
-4x - 5y - z = 18
-2x - 5y - 2z = 12
-2x + 5y + 2z = 4
Add the 2nd and 3rd equations to eliminate y and z.
-4x = 16
x = -4
Substitute x = -4 in first and second equations.
(-4)(-4) - 5y - z = 18
(-2)(-4) - 5y - 2z = 12
-5y - z = 2
-5y - 2z = 4
Multiply first equation by -1 and add to second equation.
5y + z = -2
(+) -5y - 2z = 4
----------------------
-z = 2
z = -2
Substitute x = -4 and z = -2 in first original equation and solve for y.
-4(-4) - 5y - (-2) = 18
16 - 5y + 2 = 18
-5y = 0
y = 0
Answer: x = -4; y = 0; z = -2
4)
4x + 4y + z = 24
2x - 4y + z = 0
5x - 4y - 5z = 12
Add equations 1 and 3 to eliminate y.
9x - 4z = 36 Eq. 1
Add equations 1 and 2 to eliminate y.
6x + 2z = 24 Eq. 2
Multiply Eq. 2 by 2 and add to Eq. 1.
12x + 4z = 48
(+) 9x - 4z = 36
----------------------------
21x = 84
x = 4
Substitute x = 4 into Eq. 1 to solve for z.
9x - 4z = 36
9(4) - 4z = 36
-4z = 0
z = 0
Substitute x = 4 and z = 0 into the first original equation to solve for y.
4x + 4y + z = 24
4(4) + 4y + 0 = 24
4y = 8
y = 2
Answer: x = 4; y = 2; z = 0
What is the quotient of 4/5 divided by 1/3?
:
Answer:
2.4
Step-by-step explanation:
4/5 / 1/3
4/5 x 3/1
4/5x3/x1 = 12/5
22/5
12/5 = 2.4
Which statement is a true conditional with a converse that is also true?
If an angle measures more than 90 degrees, then the angle is obtuse.
If x = 4, then x2 = 16.
If a figure is a square, then it is a quadrilateral.
If two angles are complementary, then the angles have a sum of 180 degrees.
what is the calculation for 70 increased by 9%
Cuál es grado absoluto de
3x²yz²/4
Answer:
i dont speak espanish puto
Step-by-step explanation:
What are the solutions to the equation |X – 3|= 14?
x= 11 only
Ox= -11 and x = 17
x= 17 only
x= -11 and x=11
Answer:
{-11,17}
Step-by-step explanation:
|X – 3|= 14
There are two solutions to an absolute value, one positive and one negative
x-3 = 14 and x-3 = -14
Add 3 to all sides
x-3+3 =14+3 x-3+3 = -14+3
x = 17 x = -11
x = {-11,17}
3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12
Answer:
B
Step-by-step explanation:
5% of 120
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
Help please and super quick
Answer:
it's super easy
7¹⁵/7¹⁴
7¹⁵-¹⁴
7¹ or 7
Step-by-step explanation:
I know it helped you :)
9,000,000 times 30 divided by 2 plus three minus 36 time 1 divided 93
135000002.613! At least I think!