Answer:
theta is 78 degrees, alpha is 85 degrees
Step-by-step explanation:
use the parallel lines
alternate interior angles means that theta + 112 = 180
and since the alternate interior of the 85 degree angle is a vrtical angle of alpha, they are equal
Simplify each algebraic expression.
2a +3(a +7)–(3a +3)
Answer:
2a+18Step-by-step explanation:
[tex]2a +3(a +7)-(3a +3)\\\\Expand\: 3(a +7) :\\3a+21\\\\=2a+3a+21-\left(3a+3\right)\\\\-(3a+3)=-3a-3\\\\=2a+3a+21-3a-3\\\\Simplify\\\\=2a+18[/tex]
Select the correct answer.
Which expression is equivalent to 13 square root 22b - 10 square root 22b, if b>0?
A. 23 square root 22b
B. 130 square root 22b
C. 3 square root b^2
D. 3 square root 22b
Given:
The expression is
[tex]13\sqrt {22b}-10\sqrt{22b}, b>0[/tex]
To find:
The equivalent expression.
Solution:
We have,
[tex]13\sqrt {22b}-10\sqrt{22b}[/tex]
Taking out common factors.
[tex]=(13-10)\sqrt {22b}[/tex]
[tex]=(3)\sqrt {22b}[/tex]
[tex]=3\sqrt {22b}[/tex]
The expression [tex]3\sqrt {22b}[/tex] is equivalent to the given expression.
Therefore, the correct option is D.
van purchased a DVD player on sale the original price was $171.50 the sale price was $149.37 what is the first step finding the percent markdown find the percent markdown
Answer:
12.90%
Step-by-step explanation:
Given ;
Original price = 171.50
Sale price = 149.37
To find the % markdown :
Markdown = Purchase price - sale price
171.50 - 149.37 = 22.13
(Markdown / purchase price) * 100%
(22.13 / 171.50) * 100%
0.1290379 * 100%
= 12.90%
Write the equation that represents the situation then determine the cost of 5 cans of coffee: A supermarket sells 2 cans of ground coffee for$18.50. The cost of coffee varies directly with the number of cans.
Answer:
The equation is;
C = kg
c is the cost in $
k is the proportionality constant $/can
g is the number of cans
cost of 5 cans of coffee is $46.25
Step-by-step explanation:
From the question, 2 cans of ground coffee costs $18.50
Let c be the cost and g be the number of ground coffee
18.50 = k * 2
where k is the constant of proportionality;
k = 18.5/2
k = 9.25
So, the cost of 5 coffee cans will be;
c = 9.25 * 5 = $46.25
word form 952.374 pls help
Answer:
WORD from the 2.O
Step-by-step explanation:
a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99
Answer:
9 sleeves for 22.99
Step-by-step explanation
The first pack has a unit rate of $11.49/ 4 balls
=$2.8725
The second pack has a unit rate of $16.79/6balls
=$2.798 per ball
the third pack has a unit rate of $22.99/9balls
=2.554
So, I would definitely go for the third pack since it has the least cost.
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
a = P – 2b
Step-by-step explanation:
subtract b to get P-b=2a. divide each side by 2 to get (P-b)/2=a
Lisa started with $50 and saved $15 a week. Which equation describes the growth of her savings with X as the number of weeks and Y as the total dollars?
Answer:
I believe its X=15Y+50
Step-by-step explanation:
Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2
PLEASE HELP URGET!!
Answer:
Step-by-step explanation:
2. 4x= 4*(-2)=-8
4x=4*(3)=12
4x=4*(-0.5)=-2
4x=4*3/2=6
the 3x+2
3x+2=3*(-2)+2=-6+2=-4
3x+2=3*(3)+2=11
3x+2=3*(-0.5)+2=-1.5+2=0.5
3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2
If the perimeter of this triangle is 15 centimeters, what is the value of n?
5n - 6
n
2n + 1
Express your answer as a decimal number.
Answer:
25/14
Step-by-step explanation:
The value of n that makes up the triangle of perimeter 15 centimeters is 2.5
How to determine the value of n?The side lengths of the triangle are given as:
5n - 6, n and 2n + 1
The perimeter is given as:
P = 15
The perimeter is the sum of the side lengths.
So, we have:
5n - 6 + n + 2n + 1 = 15
Collect like terms
5n + n + 2n = 15 + 6 - 1
Evaluate the like terms
8n = 20
Divide both sides by 8
n = 2.5
Hence, the value of n that makes up the triangle is 2.5
Read more about perimeter at:
https://brainly.com/question/24571594
#SPJ2
Here are the marks of a student in four exams. 65 80 76 69 The student takes a fifth exam. His mean mark for the five exams is 70 Work out his mark in the fifth exam
Answer:
mark of the fifth exam = 60
Step-by-step explanation:
Mean = sum of all marks / number of exam
Mean = 70
Number of exam = 5
Let x =
Mean = sum of all marks / number of exam
70 = (65 + 80 + 76 + 69 + x) / 5
Cross product
70 × 5 = (290 + x)
350 = 290 + x
350 - 290 = x
x = 60
mark of the fifth exam = 60
The school is landscaping an area for a soccer field. If the
dimensions are 60 feet by 35 feet. What is the area of the soccer
field?
Answer: 2100 square feet
Step-by-step explanation: 60 x 35=2100
Answer:
2100 ft squared!
Step-by-step explanation:
The formula to find the area of a rectangle is L * W = A
Where A is the total area, and L and W are the dimensions.
Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A
Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!
Please help me answer this question
Answer:
4x-2+y-4
Step-by-step explanation:
Answer:
x = 7, y = 16
Step-by-step explanation:
the sides with measure 2x + 5 and x + 12 are congruent, so
2x + 5 = x + 12 ( subtract x from both sides )
x + 5 = 12 ( subtract 5 from both sides )
x = 7
Then
x + 5 = 7 + 5 = 12
The sides with measure y - 4 and x + 5 are congruent, so
y - 4 = x + 5, that is
y - 4 = 12 ( add 4 to both sides )
y = 16
I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!
A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units
Answer:
A
Step-by-step explanation:
Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values
[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )
20(15 + x) = 420 ( divide both sides by 20 )
15 + x = 21 ( subtract 15 from both sides )
x = 6
Ryan was paid $75 for
working 6 1/4 hours.
How much money
did he make per hour?
A. $12.50
B. $12
C. $15
Answer:
the answer is b
Step-by-step explanation:
12:
Step-by-step explanation:
i need help please... 30 points + brainliest if u answer all 5
1. f(x)=x^2−4x, find f(−3)
2. f(x)=x^2−x, find f(−10)
3. f(x)=3x+1, find f(−3)
4. f(x)=4x−2, find f(8)
5. f(x)=x^2+2, find f(0)
Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6.
Answer:
- 35/78Step-by-step explanation:
The quotient of
5/6÷ (-13/7) =5/6×(-7/13) =- 35/78Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options. XY and ST VU and TW XS and XW TX and WX VU and YZ
Answer:
XYand ST , VU and TW, TX and WX
Step-by-step explanation:
Volume of hexagonal right pyramid =[tex]\frac{1}{3}[/tex]×Area of base ×height
Area of base =[tex]\frac{1}{2}[/tex]×apothem ×perimeter
if we consider face TXY ,here height =ST and length XY
(b) consider face TVW, length VU and TW
(d) consider face TWX, length WX and TX
Hence lengths in options (a),(b),(d) can be used to find the volume of hexagonal right pyramid .
Answer:
A, B, D
Step-by-step explanation:
EDGE 22
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene 's car had 5.9 gallons in the14 -gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.60 per gallon. How much did Irene spend on gas
Answer:
I believe it is $21.24 im sure
An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid
Answer:
$11.25
Step-by-step explanation:
you take 75% of 15
Answer:
11.25
Step-by-step explanation:
because I used a calculator
Distributive property to remove parantheses -8(-6v+2x-4)
Answer:
48v - 16x + 32
Step-by-step explanation:
3s+2p=85.50 4s+2p=123
Answer:s=10.50 and p=27
Step-by-step explanation:
f(x) is a function true or false?
Answer:
yes True
Step-by-step explanation:
thank you so much
The m∠4 = 5x - 3° and m∠5 = 3x + 17°. Find the value of x.
Answer:
why
Step-by-step explanation:
Item 4
Question 1
Solve −2s<−10. Graph the solution.
Answer= s > 10/2
s > -10/-2
s > 10/2
8x - 4
6x + 8
Find the measure of angle 1.
Answer:
44°
Step-by-step explanation:
8x-4 = 6x+8
8x - 6x = 8 + 4
2x = 12
x = 12/2
x = 6
then:
8*6 - 4 = 48 - 4 = 44°
The measure of angle 1:
44°
solve this inequality for x: -46 -8x >22.
Answer:
Step-by-step explanation:
The key to answering this is to know that the only time you'll change the direction of the sign is when you multiply or divide by a negative number.
-46 - 8x > 22
-8x > 22 + 46
-8x > 68
x < 68/-8 (we divided by -8 so the inequality changed direction)
x < -17/2
Step-by-step explanation:
-46 - 8x > 22: Original problem
-46 - 8x + 46 > 22 + 46: Bringing all the constants to one side of the inequality
-8x > 68: Simplification
x < 68/-8 : You have to flip the inequality symbol because you are dividing by
a negative number..
x< -8.5 : The answer!!!!!
Checking your answer....
-46 - 8x > 22 : Original problem
-46 - 8(-8.5) > 22 : Substitution
-46 + 68 > 22 : Simplification
22 > 22 : Answer check successful!!!
(22 is not greater than 22 but we know that the answer cannot be -8.5 because the inequality states that x is less -8.5. This process was only for the purpose of checking not for the purpose of proving)
Hope this helps!!!!
Please help!
Look at the system of equations:
y = 2/3x + 10
y = 2/3x − 10
Which of these statements is correct?
A. The system has one solution at (-3,8)
B. The system has one solution at (6,-6)
C. The system has no solution
D. The system has an infinite number of solutions
Answer:
I think is C or B
Step-by-step explanation:
Answer: A
Step by step: I did a test and got it right.
Hope this helps!!! - sorry in a rush -
Lisa is buying a computer for $1,500. The sales tax rate is 8.5%. Which expression should be used to calculate t, the total cost for the computer including tax?
Answer:
t=$1627.5Step-by-step explanation:
Step one:
given data
price of computer= $1500
sales tax= 8.5%
Step two
Let us compute the amount in tax
tax= 8.5/100*1500
=0.085*1500
=$127.5
Let the total cost be t
hence
t=1500+0.085*1500
t=1500+127.5
t=$1627.5
1. 3/5 divided by 6.
2. 10/8 divided by 5
3. 6 divided by 3/8.
1. 1\10
2. 1/4
3.16
Step-by-step explanation:
your welcome