Given the parameters in the diagrams, we have;
4. ∆ABC ≈ ∆DEF by ASA
5. UW ≈ XZ by CPCTC
6. QR ≈ TR by CPCTC
How can the relationship between the triangles be proven?4. The given parameters are;
<B = <E = 90°
AB = DE Definition of congruency
<A = <D Definition of congruency
Therefore;
∆ABC ≈ ∆DEF by Angle-Side-Angle, ASA, congruency postulate5. Given;
XY is perpendicular to WZ
UV is perpendicular to WZ
VW = YZ
<Z = <W
Therefore;
∆UVW ≈ ∆XYZ by Angle-Side-Angle, ASA, congruency postulate
Which gives;
UW is congruent to XZ, UW ≈ XZ, by Corresponding Parts of Congruent Triangles are Congruent, CPCTC6. Given;
PQ is perpendicular to QT
ST is perpendicular to QT
PQ ≈ ST
From the diagram, we have;
<SRR ≈ <PRQ by vertical angles theorem;
Therefore;
∆QRP ≈ ∆TRS by Side-Angle-Angle, SAA, congruency postulate
Which gives;
QR ≈ TR by Corresponding Parts of Congruent Triangles are Congruent, CPCTCLearn more about congruency postulates here:
https://brainly.com/question/26080113
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2-2 and its reciprocal
Answer:
2^-2= 4^-1 =1\4
1\4=4
so I hope you get to it
someone please help.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factorisation.
Since here both are the roots of the quadratic equation in the factor form, hence
equate them to zero, to get the value of x
hence,
2x-9 = 0
===> x = 9/2
and
3x+5=0
===> x = -5/3
Answer: ............
Step-by-step explanation:
Mike earned $150 by selling 75 boxes of cookies to his neighbors using the same rate for the cost of one box of cookies how many more boxes of cookies would mike need to sell to earn, show your work!
Answer:
to earn what
Step-by-step explanation:
Answer:
2 boxes of cookies
Step-by-step explanation:
It would be $150/75 which equals 2.
21-8x-4+9x please step by step
Answer:
=x+17
Step-by-step explanation:
happy to help ya :)
-8x+9x=1x
21--4=21+4
21+4=25
Answer-->25
Please help me I am struggling I’m only 11
Answer:
-1/3(b+21)
Step-by-step explanation:
Answer:
Hope this helps, thank you !!
I need help ASAP THIS IT TIMED!!
Answer:
yeah its probably done well
Step-by-step explanation:
Which value of x would make FG || BC?
с
В
х+ 3
ОООО
х+6
6
G
F
X-1
х+1
A
Answer:
9Step-by-step explanation:
Find the diagram attached
Using the similarity theorem
A F/F B = AG/GC
x+1/x+6 = x-1/x+3
Cross multiply
(x-1)(x+6) = (x+1)(x+3)
Expand
x²+6x-x-6 = x²+x+3x+3
5x - 6 = 4x+3
5x-4x = 3+6
x = 9
Hence the value of x is 9
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P= Aekt
Answer:
14,000
Step-by-step explanation:
if wrong i'm sorry
Cement costs $76 per cubic yard. What is the cost of cement for a sidewalk that is 4 in. Thick, 3ft wide,and 40 ft. Long?
Answer:
112.46 yd³
Step-by-step explanation:
1 inch = 0.0278 yds
1 feet = 0.333 yd
Thickness = 4 inches = (4 * 0.0278) = 0.1112 yds
Width = 3 feets = (3 * 0.333) = 0.999 yds
Length = 40 feets = (40 * 0.333) = 13.32 yds
Volume of sidewalk :
Thickness * Width * Length
0.1112 * 0.999 * 13.32 = 1.479702816 yd³
1 yd³ of cement = $76
Cost :
1.479702816 yd³ * $76
= 112.457414016
= 112.46 yd³
Which equation below can you use to solve for the width, w, of this rectangle?
A=2w + 2(w-2.3) =53
B=2(2w) + 2.3w = 53
C=2w + 2 (w+2.3) = 53
D=2w + 2w + 2.3
Answer:
w=2Step-by-step explanation:
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the basement is 2 3 its length. What is the length of Louis's basement?
Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
What is W(x) = 3/5x + 2
Answer:
W(x)=3/5x+2
W(1)=3/5(1)+2
w(1)=13/5
꧁꧂
W(2)= 3/5×(2)+2
W(2)=3/10+2
W(2)=23/10
꧁꧂
W(3)=3/5×(3)+2
W(3)= 7
Please help quick will give brainliest!
Answer:
There is a vertical asymptote at x = 4 because lim g(x) = ∝ and lim g(x) = -∝
-4(x+6)+2(x-2) please help!
Answer:
−2x−28
Step-by-step explanation:
Distribute:
=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)
=−4x+−24+2x+−4
Combine Like Terms:
=−4x+−24+2x+−4
=(−4x+2x)+(−24+−4)
= −2x - 28
Enter the number that belongs in the green box
Equilateral triangles are triangles whose all sides and angles are equal.
Since the above given triangle has 3 equal sides it is an equilateral triangle.
So, the three angles of this triangle can be 3x.
Which means :
[tex] =\tt 3x = 180[/tex]
[tex] =\tt x = \frac{180}{3} [/tex]
[tex]\hookrightarrow \tt \color{plum}x = 60°[/tex]
▪︎Therefore, x = 60°
I think I have the answer but, I really need help with the steps!
Answer:
simplify to:
6-32768/-60
simplify more
-32762/-60
take away the negatives
32762/60
simplify the fraction
16381/30
keep going till you get the answer
If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
Angle A and angle B are supplementary angles. If the measure of angle A = (3x - 12) and the measure of angle B = (4x - 25), find the measure of angle B.
Answer:
what is x so I can help you.
Please Help!!!!!!!!!!!!! Will Give Brainliest
Answer:
sum of all angles =180
15° + 25° +(39+x) =180°
40° + 39 +x = 180
79° +x =180
x = 180 - 79
x. = 101
complete angel = 39 +x
= 39 + 101
= 140
Please help me!! There is 2 answer!!
You have 8 names of people on a list. If you randomly chose pairs of two's, how many potential pairs are there?
Answer:
56
Step-by-step explanation:
Because there are 8 names and when you choose a name there are 7 people that can be a pair so 7*8=56
Write each fraction as an expression using a negative exponent other than -1. 3. 1 ___________ 4 24. 1 ___________ 100
Answer:
[tex]\frac{1}{4} = 2^{-2}[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Step-by-step explanation:
The question is poorly formatted. However, I am able to get:
1. 1/4 and 2. 1/100
Required
Write as an expression of negative expression
1. 1/4.
Express 4 as 2^2
[tex]\frac{1}{4} = \frac{1}{2^2}[/tex]
Apply
law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{4} = 2^{-2}[/tex]
2. 1/100.
Express 100 as 4^2
[tex]\frac{1}{100} = \frac{1}{10^2}[/tex]
Apply law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Factor the expression: 12x + 16
Answer:
12x+16
~Grouping~
12+16
4(3+4)
~Solution~
4(3+4)
Step-by-step explanation:
Hope that helps!!! :)
Answer:
Step-by-step explanation:
All you can do with this is take out a common factor of 4
12x / 4 = 3x
16 / 4 = 4
So the answer is
4 (3x + 4)
3x + 80 = 12x - 1
what’s the value of x ?
Answer:
9
Step-by-step explanation:
3x+80=12x-1
80=12x-3x-1
80=9x-1
9x=80+1
9x=81
x=81/9
x=9
solve the equation
[tex]6 - 2x = 3x[/tex]
Smart people answer please
Answer:
what the other guy said
Step-by-step explanation:
lol
can someone help pls 10 points
Answer:
A. 4x - 6 = -3x + 5
Step-by-step explanation:
you just have to take the first equation and substitute that in, in the second equation.
hope that helps. have a good day!
Tell whether the ordered pair is a solution of the system of equations. Y=3x-3 Y=-x+5 (3,6)
9514 1404 393
Answer:
not a solution
Step-by-step explanation:
The given pair does not satisfy the second equation.
y = -x + 5
6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)
The ordered pair is not a solution to the system of equations.
-2/9 + (-4/5) i need help please
Answer:
-46/45
Step-by-step explanation:
-2/9 + (-4/5)
can be re-written as
-2/9 - 4/5
which equals -46/45
if they want you to answer in decimal form, it will be -1.02
What is the circumference of a circle with a radius of 3 inches? Use 3.14 for Tr.
A. 9.42 cm
B. 18.84 cm
C. 113.04 cm
D. 28.26 cm