In parallelogram ABCD, m∠B = 105°.
What is the value of x. (Round your answer to the nearest tenth, if necessary.)
Answers
Answer:
x=52.5
Step-by-step explanation:
Since ABCD is a parallelogram, B= ADC. So angle ADC is 105. Next since ED=AD, angle EAD=angle AED=x and ADE=75. So 2x+75=180, 2x=105, x=105/2
In parallelogram ABCD, m∠B = 105° then the value of x = 52.5
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Since ED ≈ AD,
∆AED is an isosceles triangle where ∠EAD and ∠AED has the same angle measurement
Now, ∠B = 105°, since ABCD is a parallelogram,
∠B = ∠D
∠ADC = 105°
∠ADE = 180°-105° = 75°
Now, ∠EAD + ∠AED+ ∠ADE = 180°
∠AED+∠AED+∠ADE = 180°
x+x+75°=180°
2x=180+75°
2x = 105°
x = 52.5°
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Related Questions
PLs help T^T im to dum.b to understand this equation
Answers
Daniel and Saquon are each saving money. Daniel starts with $50 in his savings account and adds $8 per week. Saquon starts with $65 in his savings account and adds $5 each week.
After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Daniel and Saquon have the same amount of money in their savings accounts?
Answers
Answer:
Sequon has more money after 4 weeks. It would take 5 weeks for their savings accounts to be equal.Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90
Need help on this!!!
Answers
Answer:
7.8391
Step-by-step explanation:
Answer:
Step-by-step explanation:
The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:
[tex]e^{ln(x+3)}=e^5[/tex]
That leaves us on the left with simply
x + 3
On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:
[tex]x=e^5-3[/tex] and
[tex]e^5=148.4131591[/tex], so
x = 148.4131591 - 3 and
x = 145.4132, the first choice listed.
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5
Answers
Answer:
1st option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 7) and (x₂, y₂ ) = (9, - 1)
m = [tex]\frac{-1-7}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (9, - 1 ) , then
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - [tex]\frac{2}{3}[/tex] x + 5 ← equation of line
Express 2x^2-12x-7 in the form a(x+b)^2+c
Answers
Answer:
2(x - 3)^2 - 25.
Step-by-step explanation:
2x^2-12x-7
= 2(x^2 - 6x) - 7
= 2[(x - 3)^2 - 9] - 7
= 2(x - 3)^2 - 18 - 7
= 2(x - 3)^2 - 25.
PLSSS HELP I NEED IT REALLY BAD
1.
(05.01 LC)
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
A square with a side length of 4 units is shown. A diagonal is drawn with one section shaded inside the figure.
(5 points)
fraction 1 over 4 ⋅ 4 ⋅ 4
fraction 1 over 2 ⋅ 4 ⋅ 4
fraction 1 over 2 ⋅ 2 ⋅ 2
fraction 1 over 4 ⋅ 2 ⋅ 2
Answers
Answer:
If a square has a side length of 4, then the area is 16.
A = [tex]s^{2}[/tex] where s = side length.
If a diagonal is drawn to create 2 halves, then the area of each half is 8.
So most likely the answer you are seeking is: [tex]\frac{1}{2}[/tex] ( 4 · 4 )
1 point (1) Three times a number minus two times a number* Your answer
Answers
Answer:
Three times a number minus two times a number
3x-2x
=x
Find the value of X (plz answer quick)
Answers
Answer:
let:
4x-9=2x+3
4x-2x=3+9
2x=12
x=12/2
x=6 Ans
The snack bar at your school has added sushi to its menu. The ingredients for one roll include sushi rice, seaweed sheets, cucumbers, cream cheese, and 2 oz of smoked salmon. One roll can be cut into 9 servings. Write an expression for the amount of salmon needed to make s servings of sushi. How much salmon is needed to make 18 servings? 36 servings? 90 servings? 100 servings?
Answers
Answer:
The answer si:
- 16 servings - 6 oz of salmon
- 24 servings - 9 oz of salmon
- 80 servings - 30 oz of salmon
- 100 servings - 37.5 oz of salmon
1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.
Now, let's made some proportions:
16 servings:
3 oz is for 8 servings, how much oz is for 16 servings:
3 : 8 = x : 16
x = 3 · 16 ÷ 8 = 6 oz
24 servings:
3 oz is for 8 servings, how much oz is for 24 servings:
3 : 8 = x : 24
x = 3 · 24 ÷ 8 = 9 oz
80 servings:
3 oz is for 8 servings, how much oz is for 80 servings:
3 : 8 = x : 80
x = 3 · 80 ÷ 8 = 30 oz
100 servings:
3 oz is for 8 servings, how much oz is for 100 servings:
3 : 8 = x : 100
x = 3 · 100 ÷ 8 = 37.5 oz
Question 6 of 25
In APQR, m P= 60°, m_ Q = 30°, and m2 R = 90°. Which of the following
statements about APQR are true?
Check all that apply.
Answers
Answer:
A, E, F
Step-by-step explanation:
From the angles given, we can infer that ΔPQR is a 30-60-90 special triangle. In a 30-60-90 triangle, the leg opposite the 30 degree angle is 1/2 the hypotenuse and the leg opposite the 60 degree angle is √3 times the one opposite the 30. Using this, we can say:
PR = 1/2 PQ which is just 2 PR = PQ(E)
PR √3 = QR (A)
We can substitute in PR from the first equation to the second to get:
√3/2 PQ = QR(F)
Can someone help me with this math homework please!
Answers
Answer:
2+4/6=1
y-2/x-6=1
y-2=x-6
y=x-4
or y+4=x
Answer:
3rd option
y + 4 = x
Step-by-step explanation:
look,
point A (0, -4) forms the y intercept
(remember the condition for y intercept? the coordinates for which value of x is 0)
so in the equation
[tex]\boxed{ y= mx+c}[/tex]
c being the y intercept is equal to (-4)
finding the slope :-
[tex]m = \frac{ 2 + 4 }{6 - 0} \\ = \frac{6}{6} = 1[/tex]
plugging all these values into the equation
y = 1x - 4
y= x - 4
taking 4 to the other side
y+ 4 = x
Find the width of a rectangular strip of land with length 25 m and area 12 square meters?
Answers
Answer:
5/4
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
1/2 = 2/5 * w
Multiply each side by 5/2
5/2 * 1/2 = 2/5 *w * 5/2
5/4 = w
Formula we use,
→ A = l × w
Then the width of the rectangle,
→ A = I × w
→ 1/2 = 2/5 × w
Now multiply each side by 5/2,
→ 1/2 × 5/2 = 2/5 × w × 5/2
→ w = 5/4
Hence, the width is 5/4.
at the school festival , raffle tickets were sold at $1 each, or 3 for $2. At the end of the day, 15 books of tickets, each containing 20 tickets, were sold. the money collected from the sale was $236. How many tickets were sold at 3 for $2?
Answers
Answer:
you have to take away you word they said how many
How many distinguishable permutations for the letters in the word "statistical" are there?
Answers
You can use the same reasoning as I provided on your other question (URL 24277817).
"statistical" has 11 total characters, thus 11! total permutations.
• s, a, and i each appear 2 times
• t appears 3 times
Then the number of distinguishable permutations is
11! / (2! × 2! × 2! × 3!) = 831,600
Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are
wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation.
A single chocolate has a diameter of 3.2 cm.
Answers
Answer:
N/A
Step-by-step explanation:
What's the question to the question?
Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by
x2 +2x-3
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1[/tex]
A tin of paint covers a surface area of 50m2. Each tin costs £5.60. The entire surface of a solid cylindrical rod with diameter 8m and height 12m needs to be painted. Find the minimum cost of painting the rod. (NO NEED FOR EXLENATION)
Answers
the answer is in the picture
complete the equation: x^2-14x + __ = (__)^2
a. -14; x+14
b. -14; x-14
c. 49; x-7
d. 49; x+7
Answers
Answer:
C. 49, x-7
Step-by-step explanation:
(A+B)^2 = A^2 + 2AB + B^2
-14x = 2*A*B
where A=x
Therefore B=-7
and (x-7)^2=x^2-14x+49
Two numbers have a difference of 28. If the sum of the squares of the numbers is
392, what are the two numbers?
Answers
Answer:
The two numbers are 182 and 210. I hope this will help you.
Triangle SKY with vertices S(-7, 2), K(-1,8), and Y(-2,1) undegoes a reflection with new corrdinates S'(-7,-2), K'(-1, -8), and Y'(-2,-1). Name the line of reflection.
Answers
Step-by-step explanation:
reflection under
x-axis
hope this will help you
The line of reflection is given as x-axis.
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
The coordinates of the triangle SKY before and after reflection are given as below,
S(-7, 2) → S'(-7, -2)
K(-1, 8) → K'(-1, -8)
Y(-2, 1) → Y'(-2, -1)
It is clear from the transformed coordinates that the x coordinates are the same but y-coordinate changes.
Thus, the reflection is about x-axis.
Hence, the line of reflection is x-axis.
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ANSWER ASAP ILL MARK BRAINLIEST!!!!
find all the real zeros of the quadratic function.
f(x)=2x²-6x-1
Answers
Answer:
[tex]2 {x}^{2} - 6x - 1 = 0 \\ a = 2 \: \: \: b = - 6 \: \: \: c = - 1 \\ \\ x = \frac{6\binom{ + }{ - } \ \sqrt{ {6}^{2} - 4(2)( - 1)} }{2 \times 2} \\ \\ x = \frac{6 \binom{ + }{ - } \sqrt{44} }{4} \\ x = \frac{6 + \sqrt{44} }{4} \\ \\ or x = \frac{6 - \sqrt{44} }{4} [/tex]
I hope that is useful for you :)
Find the volume
Help me please
Answers
Answer:
1372/3 π
that's the volume
Graph the following inequality 6x-2y>8
Please help me and show me how to graph it.
Answers
Answer:
6x - 2y > 8
First, solve the inequality (Isolate the y-variable & put it in function format):
[tex]6x - 2y > 8\\-2y > 8 - 6x\\(-1)(-2y) > (-1)(8-6x)\\2y < 6x-8\\y < \frac{6x-8}{2} \\y < 3x - 4[/tex]
Second, graph the function y = 3x - 4 on the graph.
It should be linear.Because the inequality is < and not ≤, the values on the line aren't included in the solution, so your line should be dotted, not solid.Third, shade in the area below the line(where y-values are smaller).
Since the inequality is <, that means the solutions are smaller than the solutions of the function 3x - 4.wat iz dis bul crup
i was literally THE hardest math problem EVER
Answers
Answer: 289,952,278
Step-by-step explanation: Big brain
Please help!!
Take a factor out of the square root:
Answers
Answer:
2a times the sq root of 2a or 2a (2a)**1/2
Step-by-step explanation:
(8a**3)**1/2 =
((2**2 * 2) (a**2) (a))**1/2 then take out and squares
2a (2a)**1/2
or 2a times the sq root of 2a
is this righ or not please say me
Answers
Answer:
Step-by-step explanation:
It's right
someone please help me with mineee!!!!
Which of the following functions is graphed below?
(picture included)
Answers
Answer:
B
Step-by-step explanation:
the graph has been shifted 4 units to left, and 2 units down.
Answer:
Graph shifted down by 2 ... -2
graph slid 4 to the left ... + 4
B is the answer y = |x+4| -2
Step-by-step explanation:
Please can someone help me with this question?
Answers
9514 1404 393
Answer:
C. f^-1(x) = (x +4)^2; x ≥ -4
Step-by-step explanation:
The range of the given function f(x) is -4 ≤ f(x). This will be the domain of the inverse function.
We find the inverse function by solving ...
x = f(y)
x = √y -4
x +4 = √y
(x +4)^2 = y
The inverse function is ...
f^-1(x) = (x +4)^2 . . . for x ≥ -4
The product of two algebraic expression is 4x²-9.If one of the expression is (2x+3),find the other expression
Answers
Answer:
Solution given:
we have formula
a²+b²=(a+b)(a-b)
now
4x²-9
(2x)²-3²
using formula
(2x+3)(2x-3)
other expression is 2x-3.
Answer:
( 2x - 3 )
Step-by-step explanation:
4x² - 9 is a perfect square meaning it can be factored into 2 expressions,
( 2x + 3 ) ( 2x - 3 )
Would this be 20? I'm confused on what the problem is asking here.
Answers
Answer:
This would not be 20
Step-by-step explanation:
This question can be thought as a Pythagoras question.
By subtracting 2cm from both the left side ZW, and the right side YX, you will have a right angled triangle WYX (or ZYX, since after subtracting 2cm Z and W are essentially the same point)
I have attached a crude drawing of what the triangle is looking like, we are looking for the unknown value marked with the ?
Pythagoras states that [tex]a^{2} +b^{2} =c^{2}[/tex]
We are given the lengths 2cm and 20cm, which can be thought of as a (or b) and c. Substitute in the values 2 and 20 and solve for the unknown
