Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!! i will give brainliest.
Answer:
y = 6; x = 12
Step-by-step explanation:
If the triangles are congruent , then their sides are corresponding.
AB ≅DE DE≅ AC
7 = 2y - 5 3x - 13 = 11 + x
7 + 5 = 2y 3x - x -13 = 11
12 = 2y 2x - 13 = 11
6 = y 2x = 11 + 13
2x = 24
x = 12
AB=DE
[tex]\\ \sf\longmapsto 2y-5=7[/tex]
[tex]\\ \sf\longmapsto 2y=12[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
DF=AC.[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]
[tex]\\ \sf\longmapsto 2x=24[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
AC=DF=23Diagram attached
Please help!! Picture is provided
Quad. ABCD is a trapezoid.
XY is the median
XY = 12; AB=16
Find DC
Answer:
DC = 8
Step-by-step explanation:
The median is half the sum of the parallel bases, that is
[tex]\frac{AB+DC}{2}[/tex] = XY , substitute values
[tex]\frac{16+DC}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
16 + DC = 24 ( subtract 16 from both sides )
DC = 8
Answer:
DC = 8
Step-by-step explanation:
The median XY of the trapezoid ABCD is half or the sum of AB and DC.
XY = 1/2 ( AB + DC)
We need to find out DC so we can rewrite this equation isolating DC
XY = (1/2)(AB+DC), multiply both sides by 2
2XY = AB + DC, subtract from both sides AB
2XY - AB = DC, now substitute the given AB = 16 and XY = 12
2* 12 - 16 = DC , using the order of operations rules we multiply first
24 -16 = DC, subtract
8 = DC
help me please
A
B
C
D
E
F
Answer:
F because you cannot prove that any of the angles are the same with only one set of parallel lines
Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?
Answer:
690
Step-by-step explanation:
23% of 3000 is 690 (love your username btw; 2️⃣ Set
10 points, please fast !!!!!
Answer:
2/1 a improper fracrion 1/2 is a proper fraction
Step-by-step explanation: i just know those two sorry
Answer:
slope = 2
Step-by-step explanation:
slope is defined as change in y over change in x. for every +1 in the x direction, y receives +2. 2/1 = 2
Solve the linear systems using addition or subtraction 7x + 2y = 8;-5x - 2 =-12
Answer:
(2 , -3)
Step-by-step explanation:
7x +2y = 8
-5x - 2 = -12
The only method that uses addition/subtraction is elimination
5(7x + 2y = 8)
7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)
(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*
35x + 10y = 40
-35x = 70
10y = -30
y = -3
substitute y into original equation
7x + 2 (-3) = 8
7x - 6 = 8
7x = 14
x = 2
(2 , -3 )
Answer:
Step-by-step explanation:
Add 5x to both sides to isolate -2:
-5x + 5x - 2 = -12 + 5x
-2 = -12 + 5x
Add 12 to both sides to isolate the 5x:
-2 + 12 = -12 + 12 + 5x
10 = 5x
Divide both sides by 5:
[tex]\frac{5x}{5} = 10 \div 5\\[/tex]
x = 2
Substitute this value into the first equation:
7x + 2y = 8
7(2) + 2y = 8
14 + 2y = 8
Subtract 14 from both sides:
14 - 14 + 2y = 8 - 14
2y = -6
Divide both sides by 2:
2y ÷ 2 = -6 ÷ 2
y = -3
So the coordinate set is:
(2, -3)
Hope this helps!
16. Colton has a $6 credit balance on his credit card. He uses the credit card to
pay $9 for lunch. Use the number line to subtract $9 from Colton's credit
balance, and complete the equation.
ucation
6
8
10
12
14
text: Oppo...
16
Answer:
He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation
Step-by-step explanation:
How many inches is the box's side?
And please explain how you found the answer
Thank you :)
Answer:
[tex]x\approx 13.27 in[/tex]
Step-by-step explanation:
I'm assuming 24' is the diagonal of the box (red dashed line) and not of the bottom face (black dotted line).
Option 1: easiest if you know/remember the formula for the distance of two points in space (or for the diagonal of a parallelepiped): [tex]d= \sqrt{\Delta x^2+\Delta y^2+\Delta z^2}[/tex] where replacing (and squaring both sides to get rid of the square root) we get
[tex]24^2 = x^2 + 16^2+12^2 \rightarrow 576= x^2+256+144 \rightarrow x^2=176\\x\approx13.27 in[/tex]
Option 2: look at the triangle that has sides the forward left edge of the box, the dotted diagonal and the dashed diagonal. It's a right triangle of hypotenuse 24 and side length 12. Pythagorean theorem to find the missing side lenght
[tex]24^2 = l^2+12^2 \rightarrow l^2 = 432 \rightarrow l\approx 20.78 in[/tex]
At this point we're back at the right triangle of the bottom face of the box, of hypotenuse 20.78' and side lenght 16'. Phythagorean theorem again:
[tex](20.78)^2= 16^2 +x^2 \rightarrow 432 = 256+x^2\\x^2 = 176 x \approx 13.27[/tex]
The prices of items in a shop were reduced by 10% during reduction sales. if a costumer buys an electric fan at $810.00. What was the original price?
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve the problem in 2 steps, one being Solving, and the second being Comprehending. I'll start with comprehending.
Comprehending
We can start by analyzing the problem and creating an equation to then begin solving.
So, we know that a number, which we will call [tex]x[/tex] has a discount of 10% to get the current price of $810. We know that when there is a discount, we need to find what the 10 percent is then add it to the current price;$810.
We can create a formula and steps by doing the following:
[tex]x*0.9=810[/tex]
We have 0.9 as there is a 10% discount (0.1) and we subtract 1.00 by 0.1 to get 0.9. (Which is 90%).
This states that 90% of a number is equal to 810.
Now that we have an equation, we can begin solving.
Solving
We can solve the problem by using basic algebra.
[tex]x*0.9=810\\x*\frac{9}{10}=810\\x=(810*10)\div 9\\x=8100 \div 9\\x=900[/tex]
On step 1, we convert the decimal to a fraction for easy simplification/solving.
On step 2, we split the fraction into two and since we're dividing, we can flip the fraction and multiply by 10 and divide by 9.
On step 3, we use basic algebra and after step 4 we get our answer.
We can double check out answer by doing the following:
[tex]900-(900*0.10)=810?\\900-90=810?\\810=810[/tex]
We have checked our answer and gotten our answer of $900.
Cheers!
HELP ASAP. Dilation scale=2, center (5,4)
Graph the new points
Answer:
3.5
Step-by-step explanation:
David was thinking of a number. David doubles it, then adds 3 to get an answer of 81. 6. What was the original number?.
Answer:
The answer is 39.3
Step-by-step explanation:
81.6 - 3 = 78.6
78.6 ÷ 2 = 39.3
Help plzdlkkdkkdkdnnzkzkzkskskeme
Answer:
ofc 8 there are 8 post card ♦️
Answer:
222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222
Step-by-step explanation:
22222222222222222222222222222222222222
What is dehydrogenation ?
Answer:
Dehydrogenation is the a chemical reaction that involves the removal of hydrogen, usually from an organic molecule. It is the reverse of hydrogenation. Dehydrogenation is important, both as a useful reaction and a serious problem.
How to write in simplified slope intercept form
Answer:
y = 4x - 3
Step-by-step explanation:
1. Pick tow points that is on the line; (1, 1) and (2, 5).
2. Find the Slope: Slope = (change in the y-values)/(change in the x-values)
Slope = (5 - 1)/(2 - 1) = 4/1 = 4
3. Use the slope and one point on the graph and substitute into y = mx + b
and solve for "b"
y = mx + b Slope = 4 point (1, 1)
1 = 4(1) + b
1 = 4 + b
1 - 4 = b
-3 = b
4. Write the equation of the line: m = 4 and b = -3
y = 4x - 3
8. You have been asked to repaint the lateral surface area of cone-shaped pylons used for soccer drills. If they have a radius of 5" and a height of 12", calculate the slant height and lateral surface area to be painted to the nearest square inch.??
Answer:
See answer below.
Step-by-step explanation:
LA = π rl
1st find l
The radius is 5" and the height is 12" l = ?
h and the r is the two legs in the right triangle when drawn in a cone.
Use a² + b² = c² ⇔ h² + r² = l²
12² + 5² = l²
144 + 25 = l²
169 = l²
[tex]\sqrt{169} = l[/tex]
13 = l
Formula for LA = π r l
LA = 3.14 × 5 ×13 or with a calculator LA = π × 5 × 13
LA = 204.1 sq.in LA = 204.2035225 sq. in
I use 3.14 = for π but you know what the teacher uses in class.
A plane flies due south at 200 mph for 3 hours. If there is a wind of 25 mph blowing due
west during the entire flight, how far did the plane actually travel?
Answer:
just divide both of them
Answer:
525
Step-by-step explanation:
200-25=175. 175*3=525
Solve pls brainliest
Answer:
a)0.085 b)19.6 percent
Step-by-step explanation:
Answer:
a) 0.085
b) 19.6%
Step-by-step explanation:
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
Answer:
15
Step-by-step explanation:
Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route. Her average speed is 6 mph faster than the Wolf’s average speed. How fast does Red Riding Hood drive?
Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:
[tex]v = \frac{432}{t}[/tex]
[tex]v + 6 = \frac{432}{t - 1}[/tex]
From the first equation:
[tex]t = \frac{432}{v}[/tex]
Replacing on the second equation:
[tex]v + 6 = \frac{432}{t - 1}[/tex]
[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]
[tex]v + 6 = \frac{432v}{432 - v}[/tex]
[tex]432v - v^2 + 2592 - 6v = 432v[/tex]
[tex]v^2 + 6v - 2592 = 0[/tex]
(v + 54)(v - 48) = 0.
The velocity is positive, hence:
v - 48 = 0 -> v = 48 mph.
Red Riding Hood drives 6 mph faster than Wolf, hence:
v + 6 = 48 + 6 = 54 mph.
More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/24316569
#SPJ1
Answer: 54 mph.
Step-by-step explanation:
took the test and got it correct. edge.
17 rounded to the nearest 10th of a degree
Answer: 20
Step-by-step explanation:
17 is closest to 20 :)
(sorry if this is wrong)
QUESTION 9 of 10: You enter a bid. Your cost on the product you make is $112 per unit. If you bid at $138 per unit, what percent is the price
you bid over your cost? (Round to the nearest percent)
O a) 19%
Ob) 23%
O c) 81%
I would say B as the answer... 81 is just to high and 19 doesn't seem right.. so I'm just gonna go with B 23%
I am very sorry if this is wrong in anyway!
Answer:
the answer is 23%
Step-by-step explanation:
i used a percent increase calc... was too lazy to do the work haha
On the accompanying grid, draw and label quadrilateral ABCD with points A(1,2), B(6,1), C(7,6), and D(3,7). On the same set of axes, plot and label quadrilateral A′B′C ′D′, the reflection of quadrilateral ABCD in the y-axis. Determine the area, in square units, of quadrilateral A′B′C′D′.
Answer: Refer to figure 1 for the diagram needed.
A ' = (-1, 2)
B ' = (-6, 1)
C ' = (-7, 6)
D ' = (-3, 7)
Area = 24 square units
============================================================
Explanation:
Start by drawing an xy axis. Plot the given points A,B,C,D on this grid.
To reflect any given point over the y axis, we apply this rule
[tex](x,y) \to (-x,y)[/tex]
which means we change the sign of the x coordinate, but keep the y coordinate the same. For example, a point like A(1,2) moves to A ' (-1,2). The other points are handled in a similar fashion.
After all of the points have been reflected, you'll get what is shown in figure 1.
------------------
To find the area of quadrilateral ABCD, we can form a bounding box as small as possible around the quadrilateral. Refer to figure 2.
The area of rectangle FEHG is 6*6 = 36 square units
Then we subtract off the areas of these four outer triangles
Triangle AED = 5*2/2 = 5Triangle AFB = 1*5/2 = 2.5Triangle BCG = 1*5/2 = 2.5Triangle CDH = 1*4/2 = 2Meaning we'll end up with 36-5-2.5-2.5-2 = 24 as the area of quadrilateral ABCD. Because a reflection is a mirror copy, quadrilateral A'B'C'D' will have the same area as ABCD.
Landon and chris are playing a video game . At the end of the game the boys scored 209 points total if Landon scored five more than twice the number of Points that chris did how many points did Landon score
Answer:
428
Step-by-step explanation:
209+5=214
214x2= 428
I think this is the correct answer, if it's not I'm sorry :3
HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
got ub the naswers is 5x+y==6
Step-by-step explanation:
It costs $11 for 15 granola bars.
What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?
Answer:
0.73
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
b
Step-by-step explanation:
The graph shows which inequality? The vertex is (-4, -3)
Refer to the attachments.
PLZZZ HELP ASAP I NEED IT FAST!
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
PLEASE CAN SOMEONE ANSWER THIS, THANKS
Suppose a charity received a donation of $24.1 million. If this represents 29% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.
Answer:
$83 million
Step-by-step explanation:
29% of the charity's donated funds.
$24.1 million = donation
Let x = the total amount of donated funds
29/100 • x = 24.1
x = 24.1 • 100/29
x = 83.10
=83
Hope this helps :)
I started some of it but i’m really confused with the rest. Does anyone know how to do it?
Answer:
-4,1 -3,0 -2,1 -1,2 0,3 1,4 2,5 3,6 4,7
Step-by-step explanation:
when x increases by one, so does y. The slope of the line is 1 btw.