Are two similar triangles necessarily congruent? Why?
if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle
what is equivalent to the following expression:
2(- a + 5) – 3 (a + 5b-2)+b (6-a)
From the information given, it can be inferred that the expansion of the equation will be 5a - 9b + 16 - ab.
= 2(- a + 5) – 3 (a + 5b-2)+b (6-a)
We've to expand the functions and this will be:
= -2a + 10 - 3a - 15b + 6 + 6b - ab
Collect like terms
= - 2a - 3a - 15b + 6b + 10 + 6 - ab
= -5a - 9b + 16 - ab
Therefore, the expression is equivalent to 5a - 9b + 16 - ab.
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HELP PLEASE!!!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
(-4, 10) 10
(-8,-6)
The angle of slope of the line between the coordinates (-4, 10) and (-8, -6) is 4.
What is the Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
To find the slope of a line, we use the formula:
slope = (change in y) / (change in x)
We can use the given points (-4, 10) and (-8, -6) to find the slope:
change in y = (-6) - 10 = -16
change in x = (-8) - (-4) = -4
slope = (-16) / 4 = 4
Therefore, the slope of the line passing through the points (-4, 10) and (-8, -6) is 4.
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What is an equation of the line that passes through the points (3,4) and (-4, -3)?
Answer:
y=x+1
Step-by-step explanation:
1) Find the slope
m=-3-4/-4-3
m=-7/-7
m=1
2) Use y=mx+c
by using the point (3,4)
4=1(3)+c
4=3+c
c=1
3) The answer
y=x+1
4. A safe slope for a ladder is 1 ft of run for every 4 ft of rise. Vincent needs to use a
ladder to reach a window sill that is 22 ft above the ground. How far from the house
should the base of the ladder be?
Answer:
5.5 ft
Step-by-step explanation:
because its 4ft for every 1ft there's a ratio of 1:4 so 22 represents the 4 part of the ratio, hence 22 divided by 4 gives us 5.5 on the base
Whats the answer to these questions?
Answer:
Answer is in the attached file.
The sum of 423 and 65 is
Answer:
488
Step-by-step explanation:
Which situation shows a constant rate of change?
A. The outside temperature compared with the time of day
B. The cost of a bunch of grapes compared with its weight
C. The height of a bird over time
D. The number of tickets sold compared with the number of minutes before a football game
Which expression is equivalent to w • 35?
A.
(w • 3) + 5
B.
(w • 30) + 5
C.(w • 30) + (w • 5)
D.
(w • 5) + 3
Answer:
A.
(w.3)+5
=w. 3+5
=w . 8
B.
(w.30) +5
=w.30+5
=w . 35
C.
(w.30) + (w.5)
=w.30+w.5
=w+w.30.5
=2w . 35
D.
(w.5)+3
=w . 5+3
=w . 8
so, B is the expression which is equivalent
to w . 35
If you want 10 points answer my question
Plz
Someone please help me on both the questions!!!
Step-by-step explanation:
al nth term:
numerator:
[tex] = {n}^{2} [/tex]
denominator:
[tex] = n + 1[/tex]
so nth term :
[tex] = \frac{ {n}^{2} }{n + 1} [/tex]
b). 1; 11; 27; 49
first difference: 10; 16; 22
second difference :6
formula for 1st difference:3a+b
formula for 2nd difference:2a
Therefore:
2a=6
a=3
3a+b=10
sub in a
3(3)+b=10
9+b=10
b=1
sub into quadratic formula
[tex] {an}^{2} + bn + c[/tex]
[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]
[tex]3(1) + 1 + c = 1[/tex]
[tex]3 + 1 + c = 1[/tex]
[tex]4 + c = 1[/tex]
[tex]c = - 3[/tex]
So Tn:
[tex]3 {n }^{2} + 1n - 3[/tex]
Step-by-step explanation:
a)
it is clearly a sequence of the square numbers over the numbers+1.
1/2 = 1²/(1+1)
4/3 = 2²/(2+1)
9/4 = 3²/(3+1)
16/5 = 4²/(4+1)
so, the nth term would be
n²/(n+1)
b)
an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)
since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :
n = 2
a×2² + b×2 + c = 11 = 4a + 2b + c
n = 3
a×3² + b×3 + c = 27 = 9a + 3b + c
n = 4
a×4² + b×4 + c = 49 = 16a + 4b + c
the first equation gives us
c = 11 - 4a - 2b
when we use this in the second equation, we get
27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11
b = 16 - 5a
now we use both of that in the third equation :
49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =
= 16a + 64 - 20a + 11 - 4a - 32 + 10a =
= 2a + 43
2a = 6
a = 3
b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1
c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3
What word phrase can you use to represent 5x+2
Answer:
five times a number plus two.
A rectangular lawn 80 m x 60 m has two roads each 10m wide running in the middle of it, one parallel to the length and the other parallel to the breadth. Find the cost of gravelling them at ₹ 1.20 per sq meter.
Answer:
₹1680
Step-by-step explanation:
Road Length (m) Width (m) Area ([tex]m^{2}[/tex])
1 80 10 800
2 60 10 600
(800+600) = 1400 ([tex]m^{2}[/tex])
1400 ([tex]m^{2}[/tex])*(₹ 1.20/m) = ₹1680
There are 19 men and 31 women on an airplane. What is the ratio of the number of male passengers to the total number of passengers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
19/50
Step-by-step explanation:
19 males and 50 people are in total
Answer:
19/50
Step-by-step explanation:
number of men=19
total passengers = 19+31=50
ratio of men to total people's = 19/50
Find the first six terms of a sequence represented by f(n) = 6(n-2)
Jax is proving that the base angles of an isosceles triangle are congruent. He joins a line from
the vertex point to the midpoint of the base, as shown.
Which statement is true?
A) Since AKLM is congruent to AKNM using SSS congruency, m_KLM = m_KNM.
B) Since AKLM is congruent to ANKM using SSS congruency, m_KLM = m_KNM.
C) Since AKLM is congruent to AKMN using SAS congruency, m_KLM = m_KMN.
D) Since AKLM is congruent to ANKM using SAS congruency, m_KLM = m_KNM.
Answer: there you go
Step-by-step explanation:
Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:
twenty one thirty fifths
twenty one fifths
four fifths
ten fifths
Answer:
1 a is your answer
Step-by-step explanation:
mark brainlest pls and i hope this helps
help with math asap!
ty in advance :)
Answer:
2.108*10^3
Step-by-step explanation:
Margie says the set of numbers, 0. 1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The â€"1 should be the first number on the list.
Answer:
3 is in the wrong place
Step-by-step explanation:
:)
One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.
The given set of numbers is:
0, 1, -1, -21, 4, 3.
Margie says that the set of numbers above is in order from least to greatest
Kindly note that:
The negative number with the highest magnitude is the lowest
The positive number with the highest magnitude is the highest
Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:
-21, -1, 0, 1, 3, 4
It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative
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Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.
Answer:
Yes I agree with Morgan
Step-by-step explanation:
The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.
Ndiba left the hardware store and drove toward the train station. Willie left one hour later driving 10 mph faster in an effort to catch up to him. After three hours Willie finally caught up. What was Ndiba's average speed?
[tex]\boxed{\sf Distance=Speed(Time)}[/tex]
Let
Ndibas speed be xWillies speed=x+10Both travelled same distance
[tex]\\ \sf\longmapsto 4x=3(x+10)[/tex]
[tex]\\ \sf\longmapsto 4x=3x+30[/tex]
[tex]\\ \sf\longmapsto x=30mph[/tex]
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
B.
Step-by-step explanation:
You just remove 3 zeros from 10.
10 —> 1 —> 0.1 —> 0.01 :)
Given sin0= 3/7, and tan0 <0, what is the value of coso?
sin θ = 3 / 7 = .429
sin^2 θ + cos^2 θ = 1 trig identity
9/49 + cos^2 θ = 1
cos^2 θ = 40 / 49 = .816 cos θ = .903
Check .429^2 + .903^2 = 1
cos .903 = 25.4 deg
In the second quadrant sin = +, cos = -, tan = -
So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg
Check:
sin 154.6 = .428
cos 154.6 = -.903
tan 154.6 = -.475
how do I write an equation of a line that is parallel to 2x-3y=15
Repost* Can someone plz help? :(
Answer:
2.5
Step-by-step explanation:
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Answer:
2.5
4*2.5= 10
8* 2.5=20
how i got 2.5 is by doing 10 divided by 4
Step-by-step explanation:
what is the greatest common factor for 228/252
Answer:
i got 47/88
Step-by-step explanation:
Divide each number by two
evaluate –3(–5)(–1)(3)
Answer:
-45
Step-by-step explanation:
I think one way you could do it is:
1. –3(–5) = 15
2. (–1)(3) = -3
3. (15) (-3) = -45
I used a calculator pls let me know if im incorrect
A square has sides of length 36.5 yards. What is the area?
Answer:
1332.25 yd²
Step-by-step explanation:
To find the area, you do length times width. Since it is a square and each side is 36.5, you do 36.5 * 36.5 to find the area.
36.5 * 36.5=1332.25
After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
The value of b that Lois give Clark will be -7
Given the expression 2x + 7 - x = 4x + 2b – 3x - 3b.First, we need to find the value of b from the expression.Rearrange;
2x + 7 - x = 4x + 2b – 3x - 3b.
x + 7 = x + 2b - 3b
2b - 3b = 7
-b = 7
b = -7
Substitute b = -7 into the expression and find the value of x;
2x + 7 - x = 4x + 2(-7) – 3x - 3(-7)
x + 7 = 4x - 3x - 14 + 21
x + 7 = x + 7
Since for every x he picks, the left side is always 3 more than the right side, the equation becomes;
x + 7 = x + 3x + 7
x + 7 = 4x + 7
x - 4x = 0
-3x = 0
x = 0
Hence the value of b that Lois give Clark will be -7
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31. What are the perimeter and area
of AXYZ?
Х
5
W
Y
m
12
12
9
greater than
and less than
Z
=
A P= 28; A = 540
B P=42; A = 84
© P= 50; A = 216
DP= 54; A = 57
Answer:
tbh idek bc the pen pen duck duck duck goose I don't know I'm doing this for the beginning part