Answer: a = 45°
Step-by-step explanation:
The measure of∠PSR is given: 90°
Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.
The total of all angles in a triangle is 180. So subtract 90, then divide by 2.
180-90 = 90
90/2 = 45
a = 45°
If "b" is supposed to be the measure of ∠SRQ, that is 15° The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15
In the system of equations, b is a constant. If the system has infinitely many solutions, what is the value of b?
Answer:
The value of b is 9.5
Step-by-step explanation:
If a system of equations has infinitely many solutions, that means the two equations are equal
If the system of equations ax + by = c, dx + ey = f, then
a = d ⇒ coefficients of xb = e ⇒ coefficients of yc = f ⇒ numerical termsLet us use this fact to solve the question
∵ 3x - y = 19 ⇒ (1)
∵ 1.5x - 0.5 y = b ⇒ (2)
∵ This system of equations has infinitely many solutions
∴ The coefficients of x must be equal
∴ The coefficients of y must be equal
∴ The numerical terms must be equal
→ Multiply equation (2) by 2 to make the coefficients of x and y on it
equal the coefficients of x and y in equation (1)
∵ 2(1.5x) - 2(0.5y) = 2(b)
∴ 3x - y = 2b ⇒ (3)
→ By comparing equations (1) and (3), 19 must equal 2b
∵ 2b = 19
→ Divide both sides by 2
∴ b = 9.5
∴ The value of b is 9.5
Can somebody plz help answer both questions correct (only if u know how)
WILL MARK BRAINLIEST WHOEVER ANSWERS THEM FIRST.. promise :DD
divide the fraction like 4/5 and I'll give you decimal form and you could tell which one was bigger very quickly
Ms. Holmes decided to water her plants. She had 2 1/2 gallons of water. She gave each plant 1/4 gallon of water. Which expression could be used to determine how many plants Ms. Holmes had?
Answer:
division
Step-by-step explanation:
i got it right on my test
Please help i dont get this!
Answer:
The other one is -8 this is because the point on the graph is multiplied by 2
Step-by-step explanation:
A restaurant charges a $100 setup fee, plus $15 per guest, to host a private party.
The table below shows the cost of hosting a private party for a certain number of
guests.
Answer: 775
Step-by-step explanation: $15 for each guest (so you need to multiply 15 by 45) then add the $100 setup fee!
can someone solve -15 = - 7a - 4 - 4a
and m - 4m = -6
and 8v - 3 + 3v = 8
STEP BY STEP PLEASE.
Answer:
A=1, m=2, v=1
Step-by-step explanation:
A.
[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]
B.
[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]
C.
[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]
For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.
For B, I subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.
For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.
PLS GIVE THE ANSWER!!!!!! ALSO ITS NOT A NUMBER IS IT C OR A
Answer:
I am confused there no picture so go with your gut man
Step-by-step explanation:
A container has 12 1/2 cups of pancake mix. A serving uses exactly 1 1/2
cups
• How many full servings are in the container?
• How many cups of pancake mix are left over?
Enter each answer on a separate line.
Answer:
8 full servings
Step-by-step explanation:
1/2 cup of mix left
Solve for X.
93°
3x
Vertical angles
Answer:
x = 31
Step-by-step explanation:
93 ÷ 3 = 31
so that means x equals 31
Does anyone know the answer to this problem?
Answer:
15
Step-by-step explanation:
3^2 + sqrt4 + 4
3^2 = 9
sqrt4 = 2
(9)+(2)+(4)=15
therefore, the answer is 15
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse of the function f(x) is h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
To find the inverse of a function do these steps
Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)Let us do these steps to solve the equation
∵ f(x) = [tex]\frac{1}{4}[/tex]x - 12
→ Replace f(x) by y
∴ y = [tex]\frac{1}{4}[/tex]x - 12
→ Switch x and y
∴ x = [tex]\frac{1}{4}[/tex]y - 12
→ Add 12 to both sides
∵ x + 12 = [tex]\frac{1}{4}[/tex]y - 12 + 12
∴ x + 12 = [tex]\frac{1}{4}[/tex]y
→ Multiply each term by 4
∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)
∴ 4x + 48 = y
→ Switch the two sides
∴ y = 4x + 48
→ Replace y by h(x)
∴ h(x) = 4x + 48
∴ The inverse of the function f(x) is h(x) = 4x + 48
Answer:
h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
i just did it
I want to know what is the formula for an endpoint with the midpoint of a line segement.
Answer:
Did u actually need the answer or is this another c.hat?
Step-by-step explanation:
PLZZZZZZZZZZ HELP MEEEEEEEE IM BEING TIMED
PLZZZZ EXPLAIN THE ANSWER ALSO PLZZZZZZZZ
Terrance uses the jugs of water to fill cups with approximately 3.75 ounces of water each. About how many cups can Terrance fill if he uses all of the water in the jugs? Show your work or explain how you determined your answer.
1 gallon = 128 fluid ounces
Enter your answer and your work or explanation in the box provided.
Andrew makes $10 per hour babysitting and $8 per hour working at the grocery store. He will need to make atleast $650 to buy a new computer. Are the variables defined correctly? (True or False) x = Hours babysitting y = Hours working at grocery store
Answer:
True
Step-by-step explanation:
Since babysitting and working at the grocery store are two different things, you would need two different variables.
So x and y would be the correct representation.
Hope this helps ya!!
Which number line shows the solution of 6x-12 > -6? A. -10 - - - -6 -5 4 2 -1 0 1 2 3 B. -10-9-8 -6 5. -2 -1 0 1 2 3 4 5 6 7 8 9 C. 69 -10-9-8 -6 -5 -4 الم re 4 5 6 7 8 9 10 D. -10-9-8 6 7 8 9 10
Answer:d
Step-by-step explanation:
The number line that represents the inequality 6x - 12 > -6 is (D)
How to determine the number line?The inequality is given as:
6x - 12 > -6
Add 12 to both sides
6x > 12 - 6
Evaluate the difference
6x > 6
Divide both sides by 6
x > 1
The number line that represents the above inequality is (D)
Read more about number lines at:
https://brainly.com/question/10851163
Solve the following inequality:
55 – 5q > 4(7–9).
Step-by-step explanation:
55 – 5q > 4(7–9)
4(-2)
55- 5q > -8
-5q > -63
q=12.6
Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks.Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks.The prices of the popcorn and drinks can be determined by solving the system of equations.
2p+2d=4.00
2p+3d=5.25
what is the price of a box of popcorn? A drink?
P=
D=
Answer:
p=0.75$
d=1.25$
Step-by-step explanation:
2p+2d=4
So 2p=4-2d
2p+3d=5.25
4-2d+3d=5.25
d=5.25-4
d=1.25
2p+1.25*2=4
2p=4-2.5
2p=1.5
p=0.75
The product of 3x2 and 5x4 is equivalent to...
A. 15x6
B. 15x8
C. 8x6
D. 8x8
Answer:
3*2=6. 5*4=20 and 6*20=120
now,
15*8=120
so the correct ans is 15*8
At the grocery store ,8 oranges cost $4 what is the cost for 9 oranges ?
Answer:
$4.50
Step-by-step explanation:
First step is to find the price per orange. You can do this by dividing total cost by oranges bought. See below.
[tex]4 \div 8 \\ = .50[/tex]
Now to find the amount of 9 oranges, you'd multiply price per orange by the specified amount needed (so 9)
[tex]9 \times .50 \\ = 4.50[/tex]
How do you decide which rational number operations to use to solve problems.
Answer:
Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
Help on this please
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
Find the decimal that is equivalent to:
7/12
OA) 1.714
OB) 0.583
C) 0.0583
OD) 0.583
Answer:
B
Step-by-step explanation:
It ain't no step to dat
Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.
Answer:
20
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
:P
in a box there are three types of chocolates
there are 6 plain chocs
8 milk chocs
10 white chocs
ben takes at random a choc from the box
a) what is the probability that ben takes a plain choc ?
Answer:
25% , 6/24 , .25
Step-by-step explanation:
The total number of chocolates in the box are 24 and the number of plain chocolates is 6. 6/24 is .25 in decimal and 25% in percentage
A miniature portrait of Frosty the Snowman is square and has an area of 100 square
centimeters. How long is each side of the portrait?
Answer:
25 centimeters
Step-by-step explanation:
Well a square has 4 sides, and 100 divided by 4 is 25.
The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months. Write a system of equations by filling in the blanks:
Answer:
See below
Step-by-step explanation:
DVD's sold:
d = 925 - 12tBlu-rays sold:
d = 507 + 26tSolving the system we get the number of month t when the disks sold are equal:
925 - 12t = 507 + 26t26t + 12t = 925 - 50736t = 418t = 418/36t = 11.6 monthsUse the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6
Answer:
y = x + 4 or x - y + 4 = 0
Step-by-step explanation:
The relation between "x" and "y" is linear.
Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1
Coordinates of y-intercept of the line (0, b) = (0, 4)
Slope-intercept form of a line equation is y = mx + b
The rule (equation) of line is y = x + 4
or x - y + 4 = 0 (in standard form)
x2 - 2xy + y2 when x = 3 and y = 2
Answer:
1
Step-by-step explanation:
Substitute 3 for x and 2 for y:
3^2 - 2(3)(2) + 2^2
= 9 - 12 + 4
= 1
3^2−(2)(3)(2)+2^2
3^2−(2)(3)(2)+2^2
= 1
City Bank offers a 4.75% simple
interest rate, while First National
offers 3.9%. If Tom wants to set
up a new account with $500. how
much more money will he earn in
Interest at City Bank over First
National after 12 years?
Answer:
He will earn $51 more
Step-by-step explanation:
Let us compare the amounts he will earn in both banks
Mathematically, simple interest is;
I = PRT/100
Where P represents principal, R represents rate and T represents time
For Citibank, we have
I = (500 * 4.75 * 12)/100 = $285
For National bank
I = (500 * 3.9 * 12)/100 = 234
The difference between the amount of money earned in both banks will be;
285-234 = 51
What is the measure of AC?
Answer:
A or B
Step-by-step explanation: