Answers
Answer:
4
Step-by-step explanation:
ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.
Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.
EF ≅ BC
x² + 8x = 48
x² + 8x − 48 = 0
(x + 12) (x − 4) = 0
x = -12 or 4
Since x can't be negative, x = 4.
Related Questions
{(3, 2.1),(4,3.1), 5, 2.7), (5,4.1),(6, 5.1)} domain and range of this numbers
Answers
Answer:
domain: (3, 4, 5, 6)
range: (2.1, 2.7, 3.1, 4.1, 5.1)
Step-by-step explanation:
domain is the x value
range is the y value
you do not write the same number twice
write the domain and range in alphabetical order
What is the probability of being born in May or on the 30th of any month?
Answers
Answer: 41/365
Step-by-step explanation:
The probability of being born in May is 31/365 (May has 31 days and there are 365 days in a year).
The probability of being born on the 30th of the month is 11/365 (11 months have at least 30 days). However, since we have included May 30 in our MAy probability, we need to use the probability of 10/365.
Add the two probabilities together, and the probability of being born in May or on the 30th is 31/365 + 10/365 = 41/365.
PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answers
Answer:
y=22.1
Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.
17 x 1.3=22.1
22.1=y
Step-by-step explanation:
2. A bag of trail mix weighs 2 pounds. By weight, 18% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
Answers
Answer:
Weight of EACH square = 0.2 pounds
18% oat = 0.36 pounds
Step-by-step explanation:
Given that:
Weight of bag = 2 lb
Percentage of oat in mix = 18%
% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
If trail mix is represented by 10 by 10 square grid ;
Each square represents : 2 pounds / 10 = 0.2 pounds
18% of the total weight
0.18 * 2 = 0.36 pounds
- 20y - 7x = -14
10y - 2x = -4
Answers
Answer:
(2, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-20y - 7x = -14
10y - 2x = -4
Step 2: Rewrite systems
10y - 2x = -4
Subtract 10y on both sides: -2x = -10y - 4Divide -2 on both sides: x = 5y + 2Step 3: Redefine systems
-20y - 7x = -14
x = 5y + 2
Step 4: Solve for y
Substitution
Substitute in x: -20y - 7(5y + 2) = -14Distribute -7: -20y - 35y - 14 = -14Combine like terms: -55y - 14 = -14Add 14 on both sides: -55y = 0Divide -55 on both sides: y = 0Step 5: Solve for x
Define original equation: 10y - 2x = -4Substitute in y: 10(0) - 2x = -4Multiply: 0 - 2x - 4Simplify: -2x = -4Divide -2 on both sides: x = 2Step 6: Graph systems
Check solution set and systems.
Solve each Equation using SRP
Follow the examples.
Equation
Solution Set
Correct?
x² = 16
{4,-4}
x2 = 10
{V10,-10)
x² = - 10
No real solutions
x² = 2
{:}
Not yet
x² = 25
{,}
Not yet
x2 = 21
{j}
Not yet
x2 = 30
{,}
Not yet
x² = -30
Not yet
Answers
Answer:
Step-by-step explanation:
{ √2 , - √2 }
{ 5 , - 5 }
{ √21 , - √21 }
{ √10 , - √10 }
No real solutions
51% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early-admission tickets did it sell?
Answers
Answer:
51 were the total number of the tickets sold at a school carnival were early-admission tickets.
Step-by-step explanation:
Total number of tickets sold by = 100
Let [tex]x[/tex] be the early-admission tickets sold by the school.
As 51% of the tickets sold at a school carnival were early-admission tickets.
so
[tex]x=\frac{51}{100}\times 100[/tex]
[tex]= 51[/tex]
Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.
What is the length of leg y of the right triangle?
A right triangle with hypotenuse 37 and legs 35 and y
2
8
12
35
Answers
Answer:
12
Step-by-step explanation:
i took the test
Franklin is making bags of trail mix for hiking club. He will use 23 ounces of walnuts, 10.1 ounces of almonds, and 25.4 ounces of cashews. This amount makes 25 bags of trail mix. How many ounces are in each bag?
Answers
Answer:
(23+10.1+25.4)÷25
2.34
Use the following Coordinate plane to write the ordered pair for each point!
A (,)
B (,)
C (,)
Answers
Answer:
A (0.5,4)
B (-3,0)
C (-1,1)
Step-by-step explanation:
What table is proportional
Answers
Answer:
C
Step-by-step explanation:
x is 2 times as y is the pattern
Does the following table show a proportional relationship between the variables X and y?
20
о» | сл
25
6
125
6
y
2
10
50
Answers
Answer:
Step-by-step explanation:
25
Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution
Answers
Answer:
O Yes, (0, 2) is a solution
Step-by-step explanation:
The Solution of an Equation
Given the equation
-2x + y = -1
An ordered pair (a,b) is a solution of the equation if
-2a + b = -1
Let's test the point (0,2) to check if it's a solution of the equation:
Replacing x=0, y=-1
-2(0) + (-1) = -1
0 - 1 = -1
-1 = -1
Since the equation is satisfied, the pair (0,2) is a solution.
Answer: O Yes, (0, 2) is a solution
Answer:
No, (0, 2) is not a solution.
Step-by-step explanation:
I did the test
HELP PLSSSSSSSSSS:( DUE SOON
Answers
Answer:
3) x = 21.33
4) x = 33
5) x = 11
Step-by-step explanation:
3: (3x + 17) + (x + 40) + (2x - 5) = 180
6x + 52 = 180
6x = 128
x = 21.333...
4: 180 / 3 = 60
3x - 39 = 60
3x = 99
x = 33
5: 90 + (6x + 7) + (2x - 5) = 180
8x + 2 = 90
8x = 88
x = 11
2-\dfrac12n=3n+162− 2 1 n=3n+16
Answers
Answer:
2-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+16
Step-by-step explanation:
May I have brainliest please? :)
PLEASE
The simple interest formula is I=Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time.
What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
Answers
Answer:
$40781250
Step-by-step explanation:
Okay so the formula for simple interest is: I = P x T x R divided by 100
25000 x 10875 x 15 = 4078125000 / 100 = $40781250
If you have the multiple choice answers:
A. $160
B. $200
C. $1600
D. $16,000
the answer is C. $1600
here's why:
The principal is $10,000, the interest rate is 2%, and the time is 8 years.
I = Prt
= $10,000 · 2% ⋅ 8
= 10,000 ⋅ 0.02 ⋅ 8
= 1600
So, the interest earned is $1600.
when given an equation were is m located dealing with slope
Answers
Answer: M is attached to x
Step-by-step explanation:
The equation in standard form is y = mx +b
m is attached and is modifying the value of x
what is the coeffcients of 3m + 5 = 1
Answers
So the coefficient of your question is 3
Hope this explanation helps you :D
How would you graph the solution set of x + 4 > -9?
Answers
Answer:
x>-5
Step-by-step explanation:
-9 - -4 =-5
x>-5
↝ Graph from Number Line ↝
x + 4 > -9
x + 4 + 9 > 0
x + 13 > 0
x > -13
↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)
Which of the following must be true in order to write a bi-conditional statement?
A.) the conditional statement
B.) both the conditional statement and its converse
C.) the converse of the conditional statement
D.) neither the conditional statement nor its converse
Answers
Answer: B.) both the conditional statement and its converse .
Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
The required solution is both the conditional statement and its converse.
It is required to choose the correct statement.
What is conditional statement ?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.
Given:
In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
Biconditional Statement Examples:
The polygon has only four sides if and only if the polygon is a quadrilateral.
Therefore, the required solution is both the conditional statement and its converse .
Learn more details about conditional statement here:
https://brainly.com/question/18152035
#SPJ2
Which number is a rational number?
Answers
Answer:sq rt of 49
Step-by-step explanation:
Add 15.438 and 3.18. And subtract that answer from 32.476.
Answers
Answer:
-13.858 !!!
Step-by-step explanation:
Write the equation of a line that is perpendicular to the graph of y = 1/2 x + 3, and passing through the point (-3, 5). Show work
Answers
Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
|2x-8| + 3 = 5 two solutions
Answers
Answer:
The two solutions are 5 and 3
Step-by-step explanation:
The equation of the absolute has two solutions because IxI = a means x = a and x = -a
Let us solve the question using this fact
∵ I2x - 8I + 3 = 5
→ Subtract 3 from both sides
∴ I2x - 8I + 3 - 5 = 5 - 3
∴ I2x - 8I = 2
By using the fact above
→ 1st solution
∵ 2x - 8 = 2
→ Add 8 to both sides
∴ 2x - 8 + 8 = 2 + 8
∴ 2x = 10
→ Divide both sides by 2 to find x
∴ x = 5
→ 2nd solution
∵ 2x - 8 = -2
→ Add 8 to both sides
∴ 2x - 8 + 8 = -2 + 8
∴ 2x = 6
→ Divide both sides by 2 to find x
∴ x = 3
∴ The two solutions are 5 and 3
Solve for x. For the equation
Answers
Answer:
x=y/m - b/m
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
b)
Here are the ingredients needed to make 8 pancakes.
Submit Ans
250 ml milk
1 egg
140 g flour
5g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b) Craig makes 12 pancakes.
Work out how much butter he needs.
Answers
Answer:
a) 125 ml milk
b) 7.5g butter
Step-by-step explanation:
a) 250ml of milk to make 8 pancakes
That means 125ml ((250/8) × 4 ml) of milk = 4 pancakes
b) 5g of butter = 8 pancakes
That means 7.5g ((5/8) × 12 g) of butter = 12 pancakes
25 POINTS!! PLS HELP
Answers
Answer:
5/13
Step-by-step explanation:
You are meant to find cos which is CAH
That means there is an adjacent and hypotenuse
So it will be 5/13
Use the percent. proportion to solve 40% of what is 30?
Answers
Answer:
i belive its 75 percent
Step-by-step explanation:
the question is worded strangly
2= d-11/3
100 points if u answer pls help asap
Answers
Answer:
i hope this works
Step-by-step explanation:
d=17/3
d=5.666
d=5 2/3
Answer:
Solution given:
2=d-[tex] \frac{11}{3} [/tex]
2+[tex] \frac{11}{3} [/tex]=d
d=[tex] \frac{6+11}{3} [/tex]
d=[tex] \frac{17}{3} [/tex] or [tex] 5\frac{2}{3} [/tex]
is your answer
The scale of a model airplane is shown in the graph
Answers
Answer:5/3
Step-by-step explanation:
Step-by-step explanation: rise/run (rise over run) or y/x