The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x – 4), find BD.
A1
B3
C6
D9
Answers
Answer: c6
Step-by-step explanation:
The measure of the diagonal BD is 15 units.
What is a square?A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.
Given that, the diagonals of square ABCD intersect at point E.
Here, BE = 2x + 1, and AC = 3(6x-4)
Now, AC=BD
BD=2BE
So, 3(6x-4)=2(2x+1)
18x-12=4x+2
18x-4x=2+12
14x=14
x=1
So, BD=3(6x-1)=15
Therefore, the measure of the diagonal BD is 15 units.
Learn more about the square here:
brainly.com/question/28776767.
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Related Questions
Why did the 30-60-90 triangle marry the 45-45-90 triangle
Answers
Answer: because they were right for each other.
Step-by-step explanation:
The cause due to which the triangles 30-60-90 married the triangle 45-45-90 would be:
They were right for each other.
Sum Property of TriangleThe sum of property of triangle states that the three angles of triangle give the sum of 180°.
Given that,
Two sets of triangles having the measures:
First set = 30°-60°-90°
Second set = 45°-45°-90°
The first set marries the other as they both are right i.e. 90° to one another and give an equal sum of 180°.
Thus, the above answer is correct.
Learn more about "Triangle" here:
brainly.com/question/25813512
In the balcony of an auditorium, there are 20 seats in the first row, 22 seats in the second row and 24 seats in the third row. Assuming this pattern continues, write the explicit form of a sequence describing the number of seats in each row.
Answers
Answer:
is two more than the row before
Step-by-step explanation:
i hope i help\
Whats the value c
Pleaseee help
Answers
Step-by-step explanation:
the value of x is 20 that's it good luck
Step-by-step explanation:
6c + c + 10 + c + 10 = 180
8c = 160
c = 20
Find the value of x.
Answers
Answer:
x=20
Step-by-step explanation:
Since the sides are congruent that means the angles are congruent
When they are congruent you can equal them to each other
9x + 80 = 7x + 120
2x= 40
x=20
Which expression has a lesser value than -10? a. 8+ (-12)
b. – 14 – 2 + 8
c. 4-(-12)
d. - 2 +(- 12) + 2
please show work!
Answers
Answer:
D
Step-by-step explanation:
Which expression has a lesser value than -10?
a. 8+ (-12)= -4
b. – 14 – 2 + 8= -16+8= -8
c. 4-(-12)= 16
d. - 2 +(- 12) + 2 = -12
Answer:
Step-by-step explanation:
a.
8 +(-12) = 8-12 = -4
-4 > -10
b.
14-2+8 = 12+8 = 20
20 > -10
c.
4-(-12) = 4+12 = 16
16 > -10
d.
-2+(-12)+2 = -2-12+2 = -14+2 = -12
-12 < -10
How many years are in 525,000 minutes? Round to the nearest whole.
(1 hour=60 minutes, 1 day=24 hours, 1 year=365 days)
Answers
Answer:
About 1 year
Step-by-step explanation:
Identify the y-intercept (initial value) in the function
f(x)=130.27)^x
.27
3.51
13
.27
HURRY PLS
Answers
Answer: 13
Step-by-step explanation:
A car traveling at constant speed traveled 161.5 miles in 3 1/2 hours. What was the car's speed.
Answers
161.5 miles / 3.5 hrs = 46.143 mph
What is the value of n?
Answers
Jordyn is weighing the ingredients on a kitchen scale to make bread. The bowl weighs 1 12 pounds. He adds several scoops of flour. the total weight of the bowl and the flour is 2 34 pounds. If each cup weighs 516 pound, how many cups of flour does he add?
Answers
Answer:
4 POUNDS OF FLOUR
Step-by-step explanation:
The number of cups of flour he added is 4.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Bowl weight = 1(1/2) pounds
Number of cups of flour weight = x pounds
Now,
Total weight = 2(3/4) pounds
1(1/2) + x = 2(3/4)
x = 11/4 - 3/2
x = (11 - 6)/4
x = 5/4
Now,
Weight of each cup of flour = 5/16 pounds
Now,
The number of cups of flour.
= 5/4 ÷ 5/16
= (5 x 16) / (4 x 5)
= 4
Thus,
The number of cups of flour is 4.
Learn more about expressions here:
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Find the measure of exterior 1.
Answers
Answer:
90 degrees
Step-by-step explanation:
A.P.E.X
How many 1/5’s are in 2
Answers
Answer:
10 fifths
Step-by-step explanation:
Answer:
There are 2 halves in a whole. There are 3 thirds in a whole. There are 4 quarters in a whole. There are 5 fifths in a whole.
Step-by-step explanation:
I guess 0.4 times?
What is the answer i need helppp
48 ÷ 2(9 + 3)
Answers
Answer:
288
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
I just did the math
The answer was 288
The ratio of blue paint to yellow paint in a green paint mixture is 2:3. If you use 16 ounces of blue paint how much ounces of yellow paint. Use tape diagram
Answers
Answer:
Step-by-step explanation:
2 in 2:3 is the amount of blue paint
3 in 2:3 is the amount of yellow paint
Figure out how many times to multiply 2 to get 16:
16/2=8
Now, multiply 3 by 8, which would be equal to 24.
Ratio: 16:24
Solve for x. Round to the nearest tenth. 2.
39°
27
Answers
Answer:
33.3
Step-by-step explanation:
Reference angle = 39°
Opposite = 27
Adjacent = x
Apply TOA. Thus:
Tan 39 = Opp/Adj
Tan 39 = 27/x
x * Tan 39 = 27
x = 27/Tan 39
x = 33.3422232 ≈ 33.3 (nearest tenth)
Classifying Quadrilateral
Answers
Answer:
Step-by-step explanation:
Answer 12.9
The last options is 5 cm, I need help
Answers
Answer:
it is d.2.5
Step-by-step explanation:
If you see it correctly that NO is perpendiculer/equal toNQ and that means if the half is 2.5 then the other half is also 2.5!
Well, i hope it helps! have a nice day!
PLEASE I NEED HELP QUICK I HAVE A TIME LIMIT
Answers
Answer:
Step-by-step explanation:
AC² + AP² = PC²
AC² + 5² = 13²
AC = 12
radius = AC/2 = 6
if you answer all the questions I will give you 80 points and brainliest
Answers
Answer:
1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216
2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188
3) SA = 2(6*12 + 14*12 + 6*14) = 648
4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270
5) 2(16*9 + 4*9 + 16*4) = 488
6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8
7) SA = 2(7*7 + 14*7 + 7*14) = 490
8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28
9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564
Answer:Answer:
1) SA = 2(wl + hl + hw) = 2(12*2 + 12*6 + 6*2) = 2(24 + 72 + 12) = 2(108) = 216
2) SA = (6*4)/2 + 6*11 + 2(5*11) = 12 + 66 + 110 = 188
3) SA = 2(6*12 + 14*12 + 6*14) = 648
4) (9*12)/2 + 15*6 + 9*6 + 12*6 = 54 + 90 + 54 + 72 = 270
5) 2(16*9 + 4*9 + 16*4) = 488
6) SA = 2πrh+2πr^2 = 2*3.14*10*16 + 2*3.14*10^2 = 1004.8 + 628 = 1632.8
7) SA = 2(7*7 + 14*7 + 7*14) = 490
8) SA = 2πrh+2πr^2 = 2*3.14*7*11 + 2*3.14*7^2 = 483.56 + 307.72 = 791.28
9) (12*10)/2 + 2(14*13) + 14*10 = 60 + 364 + 140 = 564
Step-by-step explanation:
Imagine that you traveled back in time to the Fourth of July, 1999. You are at Stanford Stadium, watching the semifinal of the Women's World Cup soccer match. Mia Hamm, star of the United States team, has just received the ball on a breakaway. She is 60 yards from Brazil's goal. Brazilian star Sissi is the closest opponent to Hamm and is 10 yards behind her. Mia takes off for Brazil's goal and, while dribbling the ball, is able to run at a speed of 6.8 yards per second. Sissi takes off at the same time as Hamm and runs at 8.4 yards per second. (She is able to run faster because she isn't dribbling the soccer ball.) Hamm has decided to shoot at the exact moment that Sissi catches up to her, because at that point it will still be difficult for Sissi to block the shot when she is side by side with Hamm. How far away from the goal will Hamm be when she shoots
Answers
Answer:
17.5 yards
Step-by-step explanation:
Speed is the ratio of distance to time. It is given by the formula:
Speed = distance / time
Mia Hamm is running at a speed of 6.8 yards per second. Let us assume that Mia covers a distance (d) during time (t) when Sissi catches up to her. Hence:
6.8 = d / t
t = d / 6.8
Sissi was 10 yards behind Mia Hamm and running at 8.4 yards per second. Therefore:
8.4 = (d + 10) / t
t = (d + 10)/ 8.4
d / 6.8 = (d + 10)/ 8.4
8.4d = 6.8d + 68
1.6d = 68
d = 42.5 yards
Mia had covered 42.5 yards when Sissi catches up with her. Therefore Mia Hamm distance to goal = 60 yards - 42.5 yards = 17.5 yards
help with math please!!!
Answers
Answer:
[tex]\Huge\boxed{240ft^2}[/tex]
Step-by-step explanation:
Hello There!
The figure shown is a trapezoid with the following dimensions
base 1 = 12ft
base 2 = 20 ft
height = 15 ft
Given these dimensions we need to find the area
We can do this by using the area of a trapezoid formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = bases and h = height
Knowing the dimensions all we have to do is plug in the values
[tex]A=\frac{12+20}{2} 15\\12+20=32\\\frac{32}{2} =16\\16*15=240\\A=240ft^2[/tex]
So we can conclude that the area of the floor that needs to be replaced with tile is 240 ft²
240ft squared
STEP BY STEP:
1) find the area of the square (15x12)
2) find area of triangle (8x15)/2
Add these numbers up (180+60)
Hope this helps
What is the perimeter of the triangle?
Answers
Step-by-step explanation:
perimeter of triangle = sum of all sides
An item is regularly priced at $35. It is now priced at a discount of 65% off the regular price.
Answers
Answer:
the final price of the item wud be 15.75
Step-by-step explanation:
A shopkeeper marks the price of an article
30% above its cost price and gives a customer discount of
15%. A customer bought that article including 13% VAT at
Rs. 1872.975. Find the marked price of the article and the
gain of shopkeeper
Answers
Answer:
The gain percent made by shopkeeper is 10.5%.
Step-by-step explanation:
Given:
Price at which goods are marked = 30%
Discount on the marked price = 15%
To Find:
Gain percentage of the shopkeeper
Solution:
Let the cost price of the product be = 100
Therefore,
MP = 30 + 100 = 130
Since discount is 15%. thus -
Discount = 15/100 x 130
= 19.5
Selling price = MP - Discount
SP = 130 - 19.5
= 110.5
Profit = SP - CP
= 110.5 - 100
= 10.5
Calculating the gain%
Gain% = 10.5/100 x 100
= 10.5
Answer: The gain percent made by shopkeeper is 10.5%.
2. It takes the 1st hose 3.25 hours to fill the empty tank
by itself while both hoses can fill it in 1.25 hours. How
long will it take the 2nd hose to fill the empty tank by
itself?
Answers
Answer::
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth
Answers
[tex] {x}^{2} = {24}^{2} - {23}^{2} \\ \\ {x}^{2} = 576 - 529 \\ \\ {x}^{2} = 47 \\ \\ x = \sqrt{47} [/tex]
Which statement is true?
1 yard = 3 feet
1 yard = 10 feet
1 yard = 12 feet
1 yard = 36 feet
Answers
Answer:
1 yard = 3 feet
Step-by-step explanation:
1 yard = 3 feet
Write an equation for the trend line shown. Type answer in y = mx + b format.
Answers
Answer:
y=1/4x+250
Step-by-step explanation:
Answer:
y = 12.5x + 250
Step-by-step explanation:
(4,300) , (8,350)
m = 350 - 300 / 8 - 4 = 25/2 = 12.5
y - 300 = 12.5(x - 4)
y - 300 = 12.5x - 50
y = 12.5x + 250
I will give brainliest to the first one that does it correctly
Answers
Answer:
180-138
=42, is the answer
Larry bought 24 marbles little lost half of his marbles how many did he lose
Answers
Answer:
12
Step-by-step explanation:
his he had lost 12 of his marbles then he would only have 12 left to begin with.
to do this we can do the equation:
24/0.5 (the 0.5 is the represent that the 24 marbles had been split into two, a half for each party)
this would then give use our quotient of 12 marble he had lost