The properties of items in a question can be used to simplify the solution to the questions
The area of triangle ΔABD is 20 - 4·√3
The reason the above value for the area of ΔABD is correct is as follows:
The given parameters are;
AB = AD, BC = CD, BE = 2, BC = 4, AC = 10
Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite
∴ AC is perpendicular to BD by properties of the diagonals of a kite
ΔBCE is a right triangle
By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²
Which gives;
[tex]\overline{CE}[/tex]² = 4² - 2² = 12
[tex]\overline{CE}[/tex] = 2·√3
Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;
BD = BE + DE, where BE = DE definition of bisected line
∴ BD = BE + BE = 2·BE
Area of a triangle = (1/2) × Base length × Height
AE = The altitude (height) of the ΔABD = AC - CE
∴ AE = 10 - 2·√3
BD = The base length of ΔABD = 2·BE (Length of BE = 2)
∴ BD = 2 × 2 = 4
The area of triangle ΔABD = (1/2) × BD × AE
∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3
The area of triangle ΔABD = 20 - 4·√3
Learn more about the properties of a kite here:
https://brainly.com/question/24110637
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8
e+t+b=8.5
2e+2t=10
Graph the line with the equation y=-1/2x+1
Step-by-step explanation:
it depends how far you want to take the equation
Suppose you have a dog-walking business after school for which you charge each customer $3 per hour plus an additional $10. What equation could be written to show this relationship?
can someone please help me with this it’s due soon please
Answer: 5 inches
Step-by-step explanation:
Perpendicular bisectors must be split directly in half, as they are *bi*sectors, meaning "*two* sections"
Perpendicular means when two angles come together to create a 90° angle
This means that angle BDA is also a 90 degree angle
Since line AC is the line segment split by the perpendicular line segment BD, then you can assume that it is the only 8 inch line, according to multiple laws of geometry. This indicates that segment BC and segment BA must be congruent.
Please help I’ll mark you brainlist
Answer:
∠ MDF = 39°
Step-by-step explanation:
∠ MDH = 90°, so
∠ MDF + ∠ FDH = 90 , substitute values
2r + 59 + 6r + 111 = 90 , that is
8r + 170 = 90 ( subtract 170 from both sides )
8r = - 80 ( divide both sides by 8 )
r = - 10
Thus
∠ MDF = 2r + 59 = 2(- 10) + 59 = - 20 + 59 = 39°
How much are these coins worth?
Answer:
$1.97
Step-by-step explanation:
please help!! question in picture
PLEASE Help ASAaP will give brainlist
A new cell phone costs $625. Its sale price is $500. What's the percent of decrease?
Answer:
20 percent
Step-by-step explanation:
I need points!!!
500/625 = the percent of original
100 - percent of original = answer
John has seven hamburgers, which he divides evenly among his three friends. Which point on the number line below represents the number of hamburgers that each friend receives
M (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. Switch the x- and y-coordinates: (6, –3) 2. Multiply the new x-coordinate by –1: (6(–1), –3) 3. Simplify: (–6, –3) Mary Beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. Examine the steps to determine whether she made an error. The student made .
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
If a point (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).
Give point M (3, –6) is rotated 90° counterclockwise:
Step 1: Interchange the x- and y-coordinates to get (-6, 3)
Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)
Step 3: Simplify to get (6, 3)
Therefore she made an error in step 1
Answer: An error in step one
Step-by-step explanation:
Explain what the slope of each line below represents. Then find the slope and give its units
Answer:
The slope represents the rate of change of water volume stored in a storage tank.
The slope here is -900 in units of gallons per month. (gal/mos)
Step-by-step explanation:
The slope is rise over run, going from left to right.
Looking at the difference in time then, it is a period of ten months, and the volume difference is -9000 gallons.
The slope then is -9000 gallons divided by 10 months, which is -900 gallons per month
There are 75 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month, 3/5 of the remaining houses were sold. How many houses are left to be sold?
Step-by-step explanation:
75 * (1-2/5) * (1-3/5) = 18.
69 students bought tickets to a concert. The students made up 46% of the total amount of people. How many people were at the concert
Answer:
150
Step-by-step explanation:
Answer:
150 people
Step-by-step explanation:
If you turn 69/150 into a percent it will in fact give you 46%
Derek needs 2 gallons water to mix a sport drink , but he only has a 1 cup measuring cup.
Answer:
He can fill up his fill up his measuring cup 8 times that is pretty simple
Step-by-step example
4 cups is in one gallon
8900945867-*+.23598.000562-45896.0265=986578587983+89744563212255685-.032658974633what is the quotients!! s+89.222550y+-x=-.3265
Answer:
21
Step-by-step explanation:
Find the value of x (Round to the nearest tenth) **Hint: Find the length
of the dotted line first***
Helppp!!!!!!!
Answer:
Length equal 12
Step-by-step explanation:
16^2+b^2=20^2
256+b^2=400 (subtract 256 on both sides)
b^2=144 (square root)
b=12
It took the Hendersons 6 1/4 hours to
travel 325 miles.
At this rate, how many miles could they
travel in one hour?
Answer:
52 miles
Step-by-step explanation:
They drive 325 miles in 6 1/4 hours. Convert 6 1/4 to 6.25 and divide. 325/6.25= 52 mph
I need help with my homework this is hard pls help thx!
z=m-x solve for x
Answer:
x = m - z
Step-by-step explanation:
z = m - x add x to both sides
z + x = m - x + x
z + x = m subtract z from both sides
z - z + x = m - z
x = m - z
Answer:
-z + m = x
Step-by-step explanation:
z = m-x
subtract the m from both sides
z-m = -x
you can't have a negative x so multiply everything by -1
-1(z-m = -x)
-z + m = x
SOMEONE HELP!!!! Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett’s position with respect to the water level?
–54 feet
–30 feet
–18 feet
–10 feet
Answer:
-18 feet
Step-by-step explanation:
18-32-4
18-36= -18
Answer:
–18 feet
Step-by-step explanation:
Given: Garrett begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base.
Please help! Will mark brainliest!
18. the distance that a object covered in time was measured and recorded in the table below.
True/False: The distance covered is directly proportional to the time.
a. True
b. False
Answer:
False
Step-by-step explanation:
It is not proportional because the distance does increase with the same amount with time.
if Proportional , this would be the tabel
Time distance
1 4
2 5.5
3 7
4 8.5
5 10
There is a leaky faucet in a bathroom, and Joey places a bucket underneath the faucet. After 2/3 of an hour, 1/8 cup of water has been collected in the bucket. At what rate, in cups per hour, is water leaking from the faucet?
A. 1/12
B. 3/16
C. 13/24
D. 19/24
—
please help-
Answer:c
Step-by-step explanation:
i think
Answer:
B
Step-by-step explanation:
You have to divide the fractions and make the answer a reciprocal.
Hope this helps!
please help!! I NEED IT VERY BADLY
Answer:
3/4
Step-by-step explanation:
tan A =opposite/adjacent = 6/8 =3/4
Hope this helps
Have a good day
What is the y-intercept of this line?
Answer:
(0, 3)
General Formulas and Concepts:
Algebra I
The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the graph, the line passes the y-axis at 3. Therefore, our y-int is (0, 3).
Answer:
3
Step-by-step explanation:
Each line represents one unit, so if we count up from the origin, or (0, 0), up until we get to the y-intercept, we count a total of 3 lines. That means the y-intercept is at (0, 3). We can just simplify this to 3, though. I hope this helps!
Select the locations on the number line to plot the points 9/2 and −7/2.
Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).
Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.
4 1/2 would plotted on the line exactly in between the 4 and 5.
-3 1/2 would be plotted on the line exactly halfway between -3 and -4.
You will draw a dot to show each of these positions on a number line.
Step-by-step explanation:
hope it helps
A top swimmer would be able to swim across a 25-meter pool in about 15 of a minute. How fast can a top swimmer go?
Answer:
1.66 or 1 and 2/3 fast
Step-by-step explanation:
Answer:
ಠ ,,ಠ
____
Step-by-step explanation:
because earth is round the amount of time it takes to eat a tortilla chip is honey bunches of oats.
How can you multiply positive and negative fractions?
Step-by-step explanation:
When you multiply a fraction by another fraction or a fraction by a whole number, the rules of fractions dictate the form of the answer. If at least one of the values is negative, you also use the rules for positive and negative signs to determine if the result is positive or negative.
Dec 18, 11:45:23 AM
Angle A and Angle Bare complementary angles. If m angle A = (4x – 28)° and m
Angle B= (x - 2)°, then find the measure of angle A.
Submit Answer
Answer:
Answer: 68*
Step-by-step explanation: In pic
Please help me find tge answer soon thxs
Answer:
acute
Step-by-step explanation:
It measures less than 90 degrees
Answer:
Acute angle
Step-by-step explanation:
(less than 90°)