Answer:
Angle AED=32 degrees
Step-by-step explanation:
angle ADC=angle ABC because parallelogram
then angle ADC=106 degrees
angle EDA is supplementary to angle ADC (ADC+EDA=180 degrees)
then angle EDA=74 degrees
because triangle ADE is isosceles, angle EAD=angle EDA
since the total angles in a triangle =180 degrees,
Angle AED=180-2(74)=32 degrees
Applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.
Facts about Parallelogram and Isosceles TriangleThe opposite angles in a parallelogram have equal angle measures.The two angles that are directly opposite the two equal sides in an isosceles triangle are congruent.Thus:
m∠ABC = m∠ADC = 106° (opposite sides of parallelogram)
m∠ADC = 106°
m∠ADE = 180 - 106 = 74°
m∠AED = 180 - 2(74) (isosceles triangle)
m∠AED = 32°
Thus, applying the definition of isosceles triangle and parallelogram, the size of angle AED is: 32°.
Learn more about parallelogram on:
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Someone pls help and explain
Answer:
I can help with number 7 if you want
1. Equation
y=15x + 10
This is the answer because 10 intercepts on the y axis and it says $15 dollars each.
2. -2 so you do y-y and x-x. In this case its 4-2 and 2-3 which equals 2 and -1 . Which divided equals -2.
Sorry I can't figure out the rest but I did do these ones.
What is the exact area of a circle having diameter 3 in.?
Answer:
2.25π square inches
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
Diameter = 2r
So in this case, radius = 1.5 inches
Plugging that into the area formula produces the answer
can you try to solve this plz
Answer:
50 dgrees
Step-by-step explanation:
staruight line is 180 so 180 minus 130 is 50
what is the measure of Angle C
Answer:
59
Step-by-step explanation:
(2x-1)+(3x+1)+x=180
6x=180
x=30
((2×30)-1)= 59
WILL GIVE BRAINIEST!!!!
Answer:
A
Step-by-step explanation:
I graphed it
Answer:
The answer is 6y - 7x = 48
If you graph it you will see it is 6y - 7x = 48
Hope this helps!
please help me with thisssss!!!!!!
Its either 2/5 or 4/5
Answer: The answer is 2/5 hope i helped! Mabye brainliest? ^^
Step-by-step explanation: if you can pick more than 1, pick 2/5 and 4/5
Show all work:
Write the problem
Inverse operation
Solve
Check
Solve
m - 7 = -10
Answer:
m=-3
Step-by-step explanation:
m - 7 = -10
Ok so,
in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.
m=-3
To check you just need to plug in -3 into the question
Hope this helps! Have a good day
What are the roots of the equation?
10x2 - 6x + 4 = -3x
Answer:
(3 +/- i*sqrt(151) / 20 (no real solutions)
Step-by-step explanation:
10x^2 - 6x + 4 = -3x
Add 3x to both sides
10x^2 - 6x + 4 + 3x = -3x + 3x
10x^2 - 6x + 4 + 3x = 0
Add like terms
10x^2 - 3x + 4 = 0
We have to use quadratic formula to find the answers
For this equation, a = 10, b = -3 and c = 4
Note: +/- is plus or minus
Quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a
x = (-(-3) +/- sqrt(-3^2 - 4(10)(4))) / 2(10)
x = (3 +/- sqrt(9 - 160)) / 20
x = (3 +/- sqrt(-151) / 20
x = (3 +/- i*sqrt(151) / 20
if there's a "-" sign inside a square root, it will give you an imaginary number.
Example:
-sqrt(9) = -3
sqrt(-9) = 3i (first you will ignore the "- " sign, then square the number. After finding the square root, take that '-' sign and turn it to an "i")
So for sqrt(-151), 151 is not a perfect square, so you will get a decimal number. Leave it as it is:
sqrt(151). We can't forget about the "-". Turn the minus into a sign.
It will be i*sqrt(151)
Imaginary numbers can't be simplified, so this is the answer.
(3 +/- i*sqrt(151) / 20
Need help ASAP Please
Answer:
The answer is d
Step-by-step explanation:
[tex]\frac{PQ}{JK}[/tex] ≅ [tex]\frac{PS}{JL}[/tex]
The vertices of a swimming pool are E(5, 5), F(5, 20), G(35, 20), and H(35, 5). The endpoints of a line that divides the pool into two sections are J(15, 5) and K(15, 20). The coordinates are measured in meters. What is the area of each section?
Answer:
Step-by-step explanation:
(6.3x10^3)x(7x10^-5) in standard form
please answer asap
Answer:
0.441
Step-by-step explanation:
[tex](6.3 \times 10^3) \times (7 \times 10^{-5} ) \\ \\ = 6.3 \times 7 \times 10^3\times 10^{-5} \\ \\ = 44.1 \times {10}^{3 - 5} \\ \\ = 44.1 \times {10}^{ - 2} \\ \\ = 0.441 [/tex]
Which of these cannot represent the lengths of the sides of a right triangle?
A.)3 ft, 4 ft, 5 ft
B.)6 in., 8 in., 10 in.
C.)16 cm, 63 cm, 65 cm
D.)8 m, 9 m, 10 m
In ∆PQR, if m∠P=x–12,m∠Q=5x–27, and m∠R=2x+3, write an equation and solve for x. x =
Answer:
∠p= 15° , ∠q = 108° , ∠r = 57° Is the Answer
Step-by-step explanation:
, (x -12)° + (5x-27)° + (2x + 3)° = 180°
or, 8x° -36° = 180°
Or x =
So, x = 27°
∴ ∠P = 27° -12° = 15°
∠q = (5 × 27)° -27° = 108°
∠r = (2 × 27)° + 3° = 57°
A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?
Answer:
A
Step-by-step explanation:
Is the correct answer
The perimeter of the polygon after dilation = 27 unit
What is dilation factor?The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.
The perimeter of polygon = 18 unit,
Since, the scaling factor is 3/2,
So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,
Perimeter of polygon = 18×3/2
= 27 unit
The perimeter of the polygon after dilation = 27 unit
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What is problem number 2??
Answer:
QR
Step-by-step explanation:
The question is just trying to see if you can read the order of the lines.
PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ
Answer
YZ is the second and third letters of xyz.
QR are the 2nd and 3rd letters of PQR
Find the area of the triangle to the nearest tenth
What is 5% of $37.95
Answer:
$1.90
Step-by-step explanation:
I think so sry if I'm wrong
boom roasted
Write and solve the equation to the model below. equation x = ? pls answer pls i need it for a test
What ratio in simplest form. 36:12
sqrt(y^6) = -y^3
y=?
Answer:
they answer is y^6=−y^3
Step-by-step explanation:
Answer:
y^6=−y^3
Step-by-step explanation:
find the distance between the points (4,22) and (20,10)
Answer: (16,-12)
Step-by-step explanation: just cuz... just listen linda
Answer:
(16,-12)
Step-by-step explanation:
I used a graph to get this answer
Which model shows ^3√64 = 4 ?
Answer:
if we carefully observe, left-bottom model contains 4 units on each side of the cube.
Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].
The correct model is attached below.
Step-by-step explanation:
Given the expression
[tex]\sqrt[3]{64}=4[/tex]
Cubing both sides
64 = 4³
Thus, the cube will have 4 units on each side.
Now, if we carefully observe, left-bottom model contains 4 units on each side of the cube.
Therefore, we conclude that left-bottom model represents the [tex]\sqrt[3]{64}=4[/tex].
The correct model is attached below.
at a summer camp there is one counselor for every 5 campers.
Answer:
Then if there were 10 campers, there would be 5 counselors
Step-by-step explanation:
For every five campers, there is one counselor. Divide the number of campers by 2 two find how many counselors there are.
plsss ined help. 1 what is the common difference and the next thre terms of the sequence. 4, 7, 10, 13, 16, ...
Answer:
They all increase at a rate of 3 (but aren't multiples) and the next 3 are 19, 22, 25
Step-by-step explanation:
To be honest, I don't know a better way to put this than to look at where it starts with 10 and it keeps progressing by 3.
A cat's heart rate beats about 130 beats per minute. A kitten's heartbeat can be as fast as 240 beats per minute. What fraction of the kittens heart rate is the cat's heart rate? Write the answer in simplest form
Answer:
13/24
Step-by-step explanation:
For every 24 heart beats of the kitten, the cats heart beats 13 times.
explain why 1/12 + 1/2= 7/12
Answer:
1/12 + 1/2 = 1/12 + 6/12 - 1+6/12 = 7/12
Step-by-step explanation:
hope this makes sense
Step-by-step explanation:
1/2 of 12/12 is 6/12.
So, this means: 1/12 + 1/2 = 7/12
is
1/12 + 6/12 = 7/12
ABCD is a parallelogram, find x+ y
Answer:
Step-by-step explanation:
Here, ABCD is a parallelogram.
∠CBD=40
o
and ∠BAD=80
o
.
AD∥BC and BD is a transversal.
∴ ∠ADB=∠CBD [ Alternate angles ]
∴ ∠ADB=40
o
.
∴ y=40
o
.
In △ADB,
⇒ ∠ADB+∠DBA+∠BAD=180
o
⇒ 40
o
+x+80
o
=180
o
⇒ 120
o
+x=180
o
⇒ x=180
o
−120
o
⇒ x=60
o
We get, x=60
o
and y=40
o
.
Please give the explanation and the answer
Answer:
b
Step-by-step explanation:
. Rewrite the expression by using the Distributive Property: 8(5x - 4) *
Answer:
40x-32
Step-by-step explanation:
First, you multiply 8 time 5x which equals 40x. Next, you multiply 8 times 4 which equals 32, so it is 40x-32
The value of k for which x²-4kxy+4y²=0 represent a pair of straight is?
Please help me!!
Answer:
k=1 k= -1
Step-by-step explanation:
hello :
here is an solution