Answers
Step-by-step explanation:
< i'll use this too represent angle
this is only presuming that this is a parallelogram and i also don't know what those numbers mean
< ACB = < CAD (alt <s of DA II CB) A
< ACD = < CAB (alt <s of DC II AB) A
AB is common S
therefore, ∆ADC is congruent to ∆CBA
if ∆ADC is congruent to ∆CBA
then < ADC = < CBA
Related Questions
Decrease £180 by 12.5%
Answers
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
The area of a parallelogram is 64 m2. If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles?
a. 4 m2
b. 128 m2
c. 32 m2
d. 8 m2
Answers
Answer:
[tex]32\:\mathrm{m^2}[/tex]
Step-by-step explanation:
When cut by a diagonal, the parallelogram will be divided into two congruent triangles. By definition, congruent polygons have equal areas. Therefore, let the area of each of the triangle be [tex]x[/tex]:
[tex]x+x=64,\\2x=64,\\x=\frac{64}{2}=\boxed{32\:\mathrm{m^2}}[/tex]
Factorise x²-5 please
Answers
[tex]\sf \: {x}^{2} - 5[/tex]
[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]
[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]
[tex]\sf \: the \: identity \: becomes \: [/tex]
[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]
Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]
which of the following is the x-coordinate of the solution to the system shown below
2x + y = 17
x - y = 4
———————————————
(1) x = 5
(2) x = 2
(3) x = 7
(4) x = 12
thank you in advance to ANYONE who answers this question:)))
Answers
if u plug in 7 in the second expression, we can get 7 - y = 4, isolate y and then we get 3.
Now, plug in 7 in the first equation to get 2(7) + y = 17. that results to 14 + y = 17. isolate y again and then thats also 3.
so:
x = 7
y = 3
Answer:
Step-by-step explanation:
This table shows information about two occupations.
SmartScore
out of 100 G
Carpenter
Carpenters use woodworking
equipment to construct building
frameworks and other structures out
of wood.
Interior designer
Interior designers determine
how interior spaces will
function, look, and be
furnished
0
Description
Bachelor's degree, with
coursework in interior design
Typical
High school diploma, but most
education
complete an apprenticeship
required
Median income $46,500 per year
$53,500 per year
In which occupation would you have a higher risk of getting an injury from a sharp object?
carpenter
interior designer
T
(0)
RE
Answers
yes it can be possible to do
A line of best fit must pass through all data points of a graph.
True or False?
Answers
A lifting tackle consist of 2 pulley b lock containing 2 and 3 pulley respectively. How mu;st this tackle be use to bbtain the greatest VR? What is the value of this VR?
Answers
Answer:
[tex]VR=5[/tex]
Step-by-step explanation:
From the question we are told that:
No of Pulleys =5
Generally Greatest VR is achieved if it has no friction to the pulleys
Therefore
[tex]W=5P[/tex]
Generally the equation for Efficiency is mathematically given by
[tex]n=\frac{MA}{VR}[/tex]
Where
MA=mechanical advantage
Therefore at Greatest VR
[tex]n=100 \%[/tex]
[tex]MA=VR[/tex]
[tex]VR=\frac{W}{P}[/tex]
[tex]\frac{W}{P}=5[/tex]
[tex]VR=5[/tex]
(-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)
Answers
Answer:
\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4
AC. DF, and GI are parallel. Use the figure to complete the proportion.
AD/DG = ?/EH
Answers
Answer:
BE.
Step-by-step explanation:
If AD is to DG, then BE must be to EH, and CF must be to FI.
Find the center and radius of the circle with equation (x+3)^2+(3+ 1)^2= 9. Then graph the circle.
Answers
Answer:
See graph
[tex](x +3)^{2}[/tex] + [tex](y + 1)^{2}[/tex] = 9
(-3 , -1) is the center.
[tex]\sqrt{9}[/tex] = 3 = radius
Step-by-step explanation:
[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]
center (h,k)
radius = r
HELPPPPP ME OUUTTTTTTT!!!!
Answers
Answer:
20 degrees
Step-by-step explanation:
we can consider 33 to be the radius of a circle.
31 would then be the cos of the angle in that circle.
the regular cos function is defined for the standard circle with radius 1. so, that would be multiplied by 33 for this circle here.
31 = cos(?) × 33
cos(?) = 31/33 = 0.9393...
? = 20.05 ≈ 20 degrees
Can someone help me I need it.
Answers
Answer:
C is the answer 3rd one...
plzz helpppppp222!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
The rectangle has 4 corners of 90 degrees.
Here a rectangle is divided into two right triangles. In right-angled triangles, the opposite side at a 30-degree angle is half a chord...I replace x instead of length.. So x / 2 = 4--->x:8
The perimeter of a rectangle is equal to (length + width) × 2--->(8+4)×2=24m^2
Answer:
[tex]\text{(D) }16\sqrt{3}\:\mathrm{m^2}[/tex]
Step-by-step explanation:
In all 30-60-90 triangles, the sides are in ratio [tex]x:2x:x\sqrt{3}[/tex], where [tex]x[/tex] is the side opposite to the 30 degree angle and [tex]2x[/tex] is the hypotenuse of the triangle.
The rectangle shown forms two 30-60-90 triangles. The side labelled 4 meters is opposite to the 30 degree angle. Therefore, the side on top must be [tex]x\sqrt{3}\text{ for }x=4[/tex]. Let the length of the top base be [tex]w[/tex]:
[tex]w=4\sqrt{3}[/tex]
The area of a rectangle with length [tex]l[/tex] and width [tex]w[/tex] is given by [tex]A=lw[/tex]. Thus, the area of the rectangle is:
[tex]A=4\cdot 4\sqrt{3},\\A=\boxed{16\sqrt{3}\:\mathrm{m^2}}[/tex]
Find the integer solution of the equation
a)5x+25=-3xy+8y^2
b)2y^2+x+y+1=x^2+2y^2+xy
Answers
Answer:
the answer is as follows:
Step-by-step explanation:
a)
The equation has the following integer solutions:
5*x+25=-3*xy+8*y^2
Number of solutions found: 3
x1=-31; y1=-10
x2=-7; y2=-2
x3=-5; y3=-0
b)
The equation has the following integer solutions:
2*y^2+x+y+1=x^2+2*y^2+xy
Number of solutions found: 2
x1=0; y1=-1
x2=2; y2=-1
Do not forget to give appriciation.
PLS help simple math properties ASAP needing 5 and 6 that’s all :)
Answers
Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?
Answers
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2
Answers
Answer:
next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term
Step-by-step explanation:
find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1
Answers
Answer:
C
Step-by-step explanation:
y=-x^2+1. y is a decreasing function as x^2 is an increasing function
A knight traveled on his horse from one kingdom to another for 2 days. The first day he rode at a speed of 20 mph, and the second day he rode at a speed of 30 mph. If he traveled exactly the same amount of time each day and went 800 miles, find how many hours it took the knight to travel from one kingdom to another.
Answers
Answer:
Step-by-step explanation:
That was some horse.
20*t + 30*t = 800 Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t
50t = 800
t = 800/50
t = 16
Each day he rode 16 hours
Total time = 32 hours.
Answer:
32 hours
Step-by-step explanation:
Evaluate this expression when a=9
Answers
Answer:
63
Step-by-step explanation:
a=9
7a
7(9)
63
Can anyone assist me with this problem ?
Answers
Answer,
C
Step-by-step explanation:
I had the same question 2 days ago
Find the missing length of the following trapezoid
Answers
Answer:
1) The length of [tex]DC[/tex] is 20.
2) The length of [tex]PS[/tex] is 17.
Step-by-step explanation:
1) If [tex]DR = RE[/tex] and [tex]CS = SB[/tex], then we can use the following proportionality ratio:
[tex]\frac{DE}{DR} = \frac{32 - x}{26 - x}[/tex] (1)
Where [tex]x[/tex] is the length of segment [tex]\overline{CD}[/tex].
If [tex]DE = 2\cdot DR[/tex], then the value of [tex]x[/tex] is:
[tex]2 = \frac{32-x}{26-x}[/tex]
[tex]52 - 2\cdot x = 32 - x[/tex]
[tex]20 = x[/tex]
The length of [tex]DC[/tex] is 20.
2) If [tex]QV = VP[/tex] and [tex]RW = WS[/tex], then we can use the following proportionality ratio:
[tex]\frac{QP}{QV} = \frac{x-7}{12-7}[/tex] (2)
Where [tex]x[/tex] is the length of segment [tex]\overline{PS}[/tex].
If [tex]QP = 2\cdot QV[/tex], then the value of [tex]x[/tex] is:
[tex]2 = \frac{x-7}{5}[/tex]
[tex]10 = x-7[/tex]
[tex]x = 17[/tex]
The length of [tex]PS[/tex] is 17.
geometry question- SOLVE FOR X.
Answers
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
Step 1: Solve for x
Since there are two parallel lines and one perpendicular line through the middle, that means that all of the angles are equal. Therefore, we can make an equation 21x + 6 = 90 and solve for x
[tex]21x + 6 - 6 = 90 - 6[/tex]
[tex]21x / 21 = 84 / 21[/tex]
[tex]x = 4[/tex]
Answer: [tex]x = 4[/tex]
help help help help it is little simple
Answers
3x ² - 2x + 1 = 2x ² - 3x + 7
x ² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0 or x - 2 = 0
x = -3 or x = 2
The number of days (d) is equal
to the quotient of the number of
hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24 h
D. h = 24 + h
Answers
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
make h the subject of the formula
h = 24 d
i need help and nobody's helping me :(
Answers
The bottom part of both shapes have a number so let’s use those.
The numbers (in ratio form) are 8:24
The GCF (greatest common factor) that goes into both numbers is 8.
So divide each side by 8 (8 divided by 8 and 24 divided by 8)
Now you have 1:3. (Again, in ratio form)
This is your scale factor.
So in the top box put 1 and the bottom box put 3
SCALE FACTOR 1:3
what is rational number and arithmetic number
Answers
[tex] \huge \mathtt \blue{answer}[/tex]
Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
HELPPP MEEEE OUTTTTTT ITS URGENTTTTT!!!!
Answers
Answer:
(x-12)^2+(y-2)^2=4
Step-by-step explanation:
Friends, i need help with this question.
Answers
Answer:
Step-by-step explanation:
The answer is 4.
Once you add 4, you get:
x^2 -2x + 4 = 7.
The left side is factorable:
(x-2)^2 = 7.
There is your perfect square.
Please please please help!!!!
Answers
======================================================
Explanation:
The rule we use is
a^b * a^c = a^(b + c)
This says that if we multiply exponential expressions with the same base, then we add the exponents. We keep the base the same the entire time.
For example, 2^3*2^4 = 2^(3+4) = 2^7
--------------
For this problem, we'll say,
5^(56)*5^(22)*5^(-96)
5^( 56+22+(-96) )
5^(-18)
Be sure that you use parenthesis so that you tell your teacher that all of the -18 is in the exponent. Saying 5^-18 could lead to ambiguity.
Answer:
sorry it he question isn't clear
