Answer:
Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.
i hope you're helped
Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.
What are Similar Triangles?Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.
Given are two triangles ABC and DEF.
Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.
Here, given that,
AB / DE = BC / EF = 1 / 2.
So, two corresponding sides are proportional.
SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.
So we have to prove included angle B and E are equal.
A horizontal and vertical lines are always perpendicular.
Here B and E are formed by a horizontal and a vertical line.
So they are right angles.
All right angles are 90°. So they are equal or congruent.
So Triangles ABC and DEF are similar by SAS.
Learn more about Similar Triangles here :
https://brainly.com/question/23951634
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6. Find the areas of the rectangles with the following side lengths.
C.
a. 5 in and 1/3 in
9514 1404 393
Answer:
5/3 in²
Step-by-step explanation:
The area of a rectangle is the product of length and width.
A = LW
A = (5 in)(1/3 in) = 5/3 in² = 1 2/3 square inches
Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select two marbles from the bag, one after the other without replacing the first, what is:
Answer:
6 is the answer.
Francisco wrote these notes on one of the scientists who contributed to cell theory:
1838
Studied plants
Used a microscope
Concluded that plants are made of cells
Who are these notes about?
Virchow
Schleiden
Leeuwenhoek
Schwann
Answer:
Schleiden in 1838 said plants are made cells
Step-b
I’m so confused what is answer to the value of x HELPPP
Answer:
x=5/2 or 2.5
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
Answer:
2.5 or 5/2
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.
that also means that they are equal.
and so,
8x + 15 = 4x + 25
4x = 10
x = 10/4 = 5/2 = 2.5
Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?
Answer:
Just 2 hours
Step-by-step explanation:
Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours
Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671
Answer:
89,892
Step-by-step explanation:
[tex]x+y[/tex]
[tex](38,221)+(51,671)[/tex]
[tex]89,892[/tex]
Find the equation of the line with slope m
= -1/2 that contains the point (-10, 1).
In slope intercept form
Answer:
y = - [tex]\frac{1}{2}[/tex] x - 4
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~
m = - [tex]\frac{1}{2}[/tex]
( - 10, 1 )
y - 1 = - [tex]\frac{1}{2}[/tex] [ x - ( - 10 )]
y - 1 = - [tex]\frac{1}{2}[/tex] x + ( - [tex]\frac{1}{2}[/tex] )(10)
y = - [tex]\frac{1}{2}[/tex] x - 4
Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)
(SOMEONE PLEASE ANSWER TIMED TEST)
Answer:
answer is xy
Step-by-step explanation:
✓x-y=xy
y x=xy
solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5
Answer: x = 4
Step-by-step explanation:
Given equation
7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5
Combine like terms on both sides
(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5
4x + 14/3 - 17 = 2x + 2/3 - 5
Subtract 2/3 on both sides
4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3
4x + 12/3 - 17 = 2x - 5
4x + 4 - 17 = 2x - 5
4x - 13 = 2x - 5
Add 13 on both sides
4x - 13 + 13 = 2x - 5 + 13
4x = 2x + 8
Subtract 2x on both sides
4x - 2x = 2x + 8 - 2x
2x = 8
Divide 2 on both sides
2x / 2 = 8 / 2
[tex]\boxed{x=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
what is the slope of the line
Answer:
i think zero but i suck at slope
Step-by-step explanation:
pew pew
HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.
units
Answer:
if m is the midpoint of AB
then,AM will be equal to MB
Therefore,
[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]
Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6)
Answer:
5/6
Step-by-step explanation:
(6-1)/(2- -4) --> 5/6
Answer: Slope = 5/6
Concept:
Here, we need to know the idea of a slope.
A slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = (y₂ - y₁) / (x₂ - x₁)
Solve:
Given information
(x₁, y₁) = (-4, 1)
(x₂, y₂) = (2, 6)
Given equation
Slope = (y₂ - y₁) / (x₂ - x₁)
Substitute values into the equation
Slope = (6 - 1) / (2 - (-4))
Simplify values in parentheses
REMEMBER to change signs whenever a [+, -] meets [-] sign
Slope = 5 / (2 + 4)
Slope = 5/6
Hope this helps!! :)
Please let me know if you have any questions
What is 888 x - 666?
What is 888 x - 666? = -591408
[tex]Hello[/tex] [tex]There![/tex]
Ummmmm... I could be wrong?
I think it is...
-591408
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP
Answer:
1. the smiley face, the top right corner.
2. top left corner again
3. rotation i think...
4. e looks like the answer not sure.
Step-by-step explanation:
ez... maybe
Answer:
1st page-1
2nd page-b on the second line
3rd-b
4th-a
5th-c
Step-by-step explanation:
Evaluate (y - 9) + (3 + x), when y = 15 and x = 5
Hi ;-)
[tex]y=15 \ and \ x=5\\\\(y-9)+(3+x)=(15-9)+(3+5)=6+8=\boxed{14}[/tex]
Answer:
14
Step-by-step explanation:
(y-9)+(3+x)
(15-9)+(3+5)
6+8
14
The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?
Answer:
[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]
Step-by-step explanation:
1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;
2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;
for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.
3) if to solve the system of two equations, then:
[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]
4) finally: the first term is '39/8', the difference is '-1/4'.
Sets question with option answers. Help please
Answer:
best bet is 6
Step-by-step explanation:
pls say hard very hard
Answer:
6
Step-by-step explanation:
The Volume is 4×6×9, which is 216
∛216
The cube root is 6.
I hope this helps!
pls ❤ and mark brainliest pls!
Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00
a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.
b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.
c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.
How is monthly payment calculated?The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.
Data and Calculations:Loan amount = $6,000
Maturity period = 5 years
Interest rate = 7%
N (# of periods) = 60 months (5 years x 12)
Results:
Monthly Payment = $118.81 ($34.02 + $84.79)
Mortgage Payment = $7,128.60 ($118.81 x 60)
Total of 60 Mortgage Payments $7,128.60
Total Interest = $1,128.60 ($7,128.60 - $6,000)
Monthly Amortization Schedule (for the first 3 months)Date Beginning Balance Interest Principal Ending
Repayment Balance
1 3/2022 $6,000.00 $35.00 $83.81 $5,916.19
2 4/2022 $5,916.19 $34.51 $84.30 $5,831.90
3 5/2022 $5,831.90 $34.02 $84.79 $5,747.11
Learn more about calculating monthly payments at https://brainly.com/question/24576997
Answer:
The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.
So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.
A 5-year loan will have 60 monthly payments since 5 × 12 = 60.
Multiply the monthly payment by 60 months to get the total amount paid on the loan:
$118.80 × 60 = $7,128.
To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:
$7,128 − $6,000 = $1,128.
Step-by-step explanation:
Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.
Step-by-step explanation:
the slope that is PARALLEL to the equation of the line y = -1/2x+6 is -1/2.
and the slope that is PERPENDICULAR to the equation of the line y = -1/2x+6 is :
-1 ÷ -½ = 2
Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?
Answer:
y = c1 e^-x + c2 e^(3x)
Step-by-step explanation:
Review linear DE's
(D-3)(D+1)y = 0
Can any one solve it.Please
It's false. Consider f(x) = 1/x. This function is both continuous and decreasing on [1, ∞), and has a limit of 0 as x approaches infinity. But the integral diverges.
One more big help you guys
Answer:
[tex]\frac{1}{5^{7} }[/tex]
Where does the graph of the line y = x − 2 intersect the x-axis
(0,2) is your answer
Explanation
Please let me know fast
Answer:
b) 0
Step-by-step explanation:
[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]
Choose the best description of the associative property of addition.
O A. The smaller of two addends is called an associated number.
OB. The way in which numbers are grouped to be added does not change the sum.
O c. If one of two numbers is 1 more than the second number, the numbers are called associated numbers.
OD. When zero is added to a number, the sum is that number.
Answer:
B. The way in which numbers are grouped to be added does not change the sum.
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
Given that the equation of a straight line is 2y - 3x + 6 = 0,
(a) Express the equation of the straight line in the form of y = mx + c
(b) Write down the y-intercept (C) of the equation
Step-by-step explanation:
Hi there!
Given;
The equation of straight line is 2y-3x+6 = 0.
a. Express in the form of y = mx + c.
2y-3x+6 = 0
2y = 3x-6
y = (3x-6)/2
y = (3/2)X - 3
Therefore, the required equation is : y = (3/2)x-3.
b.
The y-intercept of the equation is -3.
Hope it helps!
the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b
Answer:
(15,8)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.
Answer:
1/3÷5
=1/3×1/5
=1/15
each child receive 1/15 of cake