Answer:
5) because ABCD is a rectangle => AC = BD
<=> 4x - 5 = 3x - 1
<=> 4x - 3x = -1 + 5
<=> x = 4
6) because EFGH is a rhombus
=> HF is the bisector of the angle EHG
=> EHF = GHF
<=> 3x - 15 = 2x + 9
<=> x = 24
-6, 12 ,-24 ,48 what would be the next term in this sequence (help ASAP please )
Katie answered 2/3 of a 15 problem math correctly. How many questions did Katie answer incorrectly?
why is math your favorite subject
Answer:
its nice
Step-by-step explanation:
Answer:
It's easier for me than other subjects. Have an amazing rest of ur day.
Step-by-step explanation:
4(x-3)=20
GUYSS I NEED HELP
Step-by-step explanation:
simplify the bracket
4x-12=20
4x=20+12
4x=32
X=8
The ratio of boys to girls in a class is 2:3
Ben says there are 28 students in the class.
(a) Explain why Ben must be wrong
(b) Write down a possible number of students in the class
Step-by-step explanation:
A: adding together 2 and 3 a bunch of times (2+3+2+3+2+3 etc) does not equal 28.
A possible answer could be 27 students.
The requried,
(a) Ben is wrong because the number of students is incorrect,
(b) The required possible number would be either 25 or 30.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
here,
As mentioned in the question, the ratio of boys to girls in a class is 2:3
Ben says there are 28 students in the class.
So total of the ratio = 2 + 3 = 5
Now calculate number of boys = 2 / 5 [28] = 7.2 [this is not possible]
So the total number of students must be that number which is divisible by 5 and nearby 28, so the number would be 25 or 30.
Thus, the requried,
(a) Ben is wrong because the number of students is incorrect,
(b) The required possible number would be either 25 or 30.
Learn more about Ratio here:
brainly.com/question/13419413
#SPJ2
im putting all the questions in one to make it easier
I'll focus on problem 19 and problem 22
============================================================
Problem 19
Answers:
x = 87x+15 = 102-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
============================================================
Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inventory during the sale. If the store had 288 pairs after the donation and the sale, how many pairs of shoes did they have at the start? how many shoes did they have at the start?
Answer:
850.
Step-by-step explanation:
Let the number at the start be x shoes. Then:
x - 50 - 0.64(x - 50) = 288
x - 0.64x - 50 + 32 = 288
0.36x = 288 + 50 - 32
0.36x = 306
x = 306/0.36 = 850.
Answer:
850 is the answer to the question
Can someone please help me with this?
please please help, if you could show work too that would be amazing!
Answer:x=75
Step-by-step explanation:
They are opposite of eachother so they are equal to eachother
2x= 130
x= 75
Rewrite 48+40 using the distributive property with the greatest common factor located in front of the parentheses
Answer:88
Step-by-step explanation:
Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression: (2x + 2x) + (5x + 5x) + (1 + 1). Circle the name of the student who wrote an incorrect expression. Explain why the expression is incorrect. Anya: 2x + 2x + 5x + 1 + 5x + 1 Katrin: 2(5x + 1) + 2x Luis 2(2x) + 2(5x + 1) Steve: 1 + 1 + x(2 + 2 + 5 + 5)
Answer:
Luis wrote an incorrect expression.
Step-by-step explanation:
As per Terrell, the correct expression is (2x+2x) + (5x+5x) + (1+1) which is equal to 12x + 2
For you who got incorrect answer, the answer if you simplified it must be 12x + 2. Let's check:
Anya 2x+2x+5x+1+5x+1 =
12x + 2 [CORRECT]
Katrin 2(5x+1) + 2x
10x+2+2x
12x + 2 [CORRECT]
Luis 2(2x) + 2(5x+1)
4x+10x+2
14x + 2 [INCORRECT]
Steve 1+1+ x(2+2+5+5)
2+ x(12)
12x + 2 [CORRECT]
Oliver thinks of a number.
He multiplies this number by 4.
He then subtracts 5.
The result is 23.
What number did Oliver think of?
Answer:
7
Step-by-step explanation:
Add 5 to 23 which gives you 28
Then divide 28 by 4 and you get 7
Hope this helps!
Find the next three terms of the following arithmetic sequence
Please help
Answer:
the 2nd option
Step-by-step explanation:
Given the graph of the function F(x) below, what happens to F(x) when x is a
very small positive number?
A. FX) is a very small positive number
B. F(x) is a negative number with a large absolute value
C. F(x) is a very large positive number
D. F(x) is a negative number with a small absolute value
Answer:
B. F(x) is a negative number with a large absolute value.
Step-by-step explanation:
The Y and X axes in this case are asymptotes, it means that the function will never touch them. When x is negative and is so small, the function tends to negative infinity, because the function try to cut it but it will never happen.
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
Answer:
$1.38
Step-by-step explanation:
The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges
The cost difference is calculated as:
Cost of 6lbs of oranges - Cost of 4lbs of oranges
Cost of 6lbs of oranges = $6.18
Cost of 4lbs of oranges = $4.80
Hence,
= $6.18 - $4.80
= $1.38
Please help this is due
Answer:
f(6) = 0
x = 3 when f(x) = 2
Step-by-step explanation:
f(6) = -2/3(6) + 4
f(6) = -4 + 4
f(6) = 0
2 = -2/3x + 4
-2 = -2/3x
-2x = -6
x = 3