Draw an equilateral triangle with side lengths 5 inches each. Each interior angle is 60 degrees (this is true of any equilateral triangle).
Now draw an equilateral triangle of 10 inches each. The angles will be the same as before. We can see that the triangles are not congruent. Congruent triangles must have the same side lengths, but clearly the second one is larger than the first.
This is an example of why knowing solely the congruency of the angles is not enough to prove the triangles congruent or not. We would need to know something about the sides (whether they are congruent or not) to be able to determine overall triangle congruency.
Answer:
Because even though the angles may be the same, the lengths can be different. In an isosceles triangles, this may be the case.
Step-by-step explanation:
write a numerical expression
two hundred fifty-nine mines eighty-five plus sixty-two divided by two
four terms in the sequence an are a3=15, a4=19, a5=23, and a6=27 which function can be used to find the nth term in the sequence
Answer:
an = 4n + 3
Step-by-step explanation:
PLEASE HELP ASAP - ILL GIVE BRAINLEST
GIVE THE WORK FOR IT TP PELASEE!! and 20 points
Answer:
Step-by-step explanation:
Hope this helps u !!
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
Make t the subject of this formula.
r = 7 (t + 3)
Answer:
t= r-21
7
Step-by-step explanation:
r = 7(t+3)
expanding the bracket
r = 7t + 21
bringing t to the left hand side
7t = r - 21
divide both sides by seven
t= r-21
7
Answer:
t = (r/7) - 3
Step-by-step explanation:
Given equation,
→ r = 7(t + 3)
Now the value of t will be,
→ r = 7(t + 3)
→ r = 7t + 21
→ r - 21 = 7t
→ 7t = r - 21
→ t = (r - 21)/7
→ t = (r/7) - 3
Hence, value of t is (r/7) - 3.
A man has twin sons of equal height. The combined
height of the man and one son is 180cm. The
combined height of the man and both sons is
252cm. Twice the man's height added to the height
of one son would be
Answer:
son weight = 72
Step-by-step explanation:
D + S = 180
D + 2S = 252
S=252-180
S = 72
D= 108
What, if any, was Miguel’s mistake?
uhmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
l=✓9²+4²
l=√81+16
l=✓97
The scale on a map reads 3⁄4 inches = 60 miles. If two cities are 2 1⁄2 inches apart on the map, find the actual distance between the cities.
Can someone explain how to do this?
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
a=v2/rSolve the formula for r.
Answer:
r =v2 /a
Step-by-step explanation:
a=v2/r
ra=v2
r =v2 /a
Answer:
r = [tex]\frac{v^2}{a}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{v^2}{r}[/tex] ( multiply both sides by r to clear the fraction )
ar = v² ( divide both sides by a )
r = [tex]\frac{v^2}{a}[/tex]
Lines A and B are parallel
A
1
2
50° 4
B
5 6
8
mZ2 = [?]°
Find the values of q, w, and y in this diagram
Plz help I need this fast
Answer:
[tex]{ \tt{q = 60 \degree}} \\ \\ { \tt{w = 180 - 60 = 120 \degree}} \\ \\ { \tt{y = 180 - 60 - 70 = 50 \degree}}[/tex]
which value of x is in the domain of f (x) =v x-7?
Answer:
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = \sqrt{x - 7}[/tex]
Domain of the square root function:
The square root does not exist for negative values, so the domain of a square root function:
[tex]g(x) = \sqrt{h(x)}[/tex]
Is [tex]h(x) \geq 0[/tex]
In this question:
[tex]f(x) = \sqrt{x - 7}[/tex]
Then:
[tex]h(x) = x - 7[/tex]
[tex]x - 7 \geq 0[/tex]
[tex]x \geq 7[/tex]
The domain of the function are values of x that respect the following condition: [tex]x \geq 7[/tex]
Answer:
the answer is 8 and x>or equal 7 and the only option greater than 7 is 8
Step-by-step explanation:
HELPPP!!! ILL GIVE YOU THE BRAINLIEST IF YOU ANSWER LESS THAN 5 MINS. If APQR - ASTU, which statement must be true?
Answer:
D.
Step-by-step explanation:
If you look on both triangles, PQ and ST are both and the same spots. (P is in the same spot as S and Q is in the same spot as T.
Name the identical triangles and measurement of side BA
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
The depth of snow at seven different mountain lodges is 18 inches, 20 inches, 26 inches, 22 inches, 85 inches, 18 inches, and 24 inches. Find the mean, median, and mode. Which measure is the most useful for predicting how deep the snow will be at an 8th lodge?
Answer:
a) [tex]\=x=36.4inches[/tex]
b) [tex]Median=22[/tex]
c) [tex]Mode=18[/tex]
d) [tex]The\ Mean[/tex]
Step-by-step explanation:
From the question we are told that:
Depths:
18 inches,
20 inches
26 inches
22 inches
85 inches
18 inches
24 inches
Sample size [tex]n=7[/tex]
Summation of all depths
[tex]\sum d=18+20+26+22+85+18+24[/tex]
[tex]\sum d=255[/tex]
a)
Generally the equation for Mean is mathematically given by
[tex]\=x=\frac{\sum d}{n}[/tex]
[tex]\=x=\frac{255}{7}[/tex]
[tex]\=x=36.4inches[/tex]
b)
Generally the Median is given by the Middle Number which is
[tex]Median=22[/tex]
c)
Generally the Mode is given by the Highest occurring Number which is
[tex]Mode=18[/tex]
with two appearances
Therefore
d)
The measure that is the most useful for predicting how deep the snow will be at an 8th lodge is
[tex]The Mean[/tex]
Factorize this expression
qr-qs+pr-ps
Answer:
(q+p)(r-s)
Step-by-step explanation:
qr-qs+pr-ps
q(r-s) + p(r-s)
(q+p)(r-s)
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
Answer:
Step-by-step explanation:
This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.
x + 1 = 0 so
x = -1
x - 9 = 0 so
x = 9
We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).
Help please guys! Thank youuu
Answer:
Step-by-step explanation:
12b + 1 5c = 420
b ---> number of hour baby sitting
c-----> number of hours cleaning
c = 32 hours
Plugin c = 32 in the equation,
12b + 15*32 = 420
12b + 480 = 420
Subtract 480 from both sides
12 b = 420 - 480
12b = -60
So, This is not a reasonable value.
2) b = 10 hours
Plugin b = 10 hours
12*10 + 15c = 420
120 + 15c = 420
15c = 420 - 120
15c = 300
Divide both sides by 15
c = 300/15
c = 20 hours
He has to do cleaning for 20 hours
Yes, It is reasonable value
How many miles is her road trip
Answer:
(B). 265 miles
Step-by-step explanation:
She travelled 75 mph for 3 hours and 40 mph for 1 hour.
Therefore, 75 + 75 + 75 + 40 = 265 miles
If this helps you, please mark brainliest!
A candy store owner has 8.32 pounds of jelly beans. If
she puts the jelly beans into 8 jars, how much candy
will go in each jar?
Answer:
1.04 lbs
Step-by-step explanation:
8.32 lbs / 8 jars=
1.04 lbs per jar
help please
plz plz plz
Step-by-step explanation:
Here,
y= 2x
and x € (1,2,3)
now,
when x=1 , when x=2 , when x= 3
y=2x y= 2x y=2x
= 2×1 = 2×2 = 2×3
= 2 = 4 = 6
Therefore, y = (2,3,6)
Solve the system of equations by graphing.
x + y = -9
4x + y = -19
Answer:
(3 [tex]\frac{1}{3}[/tex] , 5 [tex]\frac{2}{3}[/tex] )
Step-by-step explanation:
x + y = -9 --> y = -x -9
4x + y = -19 --> y = -4x - 19
Graph accordingly.
I ONLY NEED HELP ON THE FIRST QUESTION SHOWN
h(x)=-4x-7, when x=3
h( blank)=blank
Answer:
h(3)=19
Step-by-step explanation:
it's saying x=3 so -4×3 is -12 and -12 -7 is 19 so the answer is 19
Answer:
hope this helps
Step-by-step explanation:
Which of the following is a quadratic function?
Answer:
A
Step-by-step explanation:
A
when multiplied out
the highest exponent of x is 2
y = 2x² + x - 6
Answer:
option A
Step-by-step explanation:
A quadratic equation is a single variable polynomial of degree 2.
[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]
What is the value of m?
Om=2
Om=3
Om=15
O m=16
Answer:
m = 3
Step-by-step explanation:
5m + 1 = 3m + 7
2m = 6
m = 3
The value of m in the figure is 3
From the question, line segments GH and HK are congruent.
So, we have:
GH = HK
Substitute known values
5m + 1 = 3m + 7
Collect like terms
5m - 3m = -1 + 7
Evaluate the like terms
2m = 6
Divide both sides by 2
m = 3
Hence, the value of m in the figure is 3
Read more about quadrilaterals at:
https://brainly.com/question/5715879
Can someone help me? It's urgent and thank you!
Answer:
its c trust me. ive seen some stuff like this before
What is the value of x in the equation 6 +4x = 7
Answer:
x = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given
6 + 4x = 7 ( subtract 6 from both sides )
4x = 1 ( divide both sides by 4 )
x = [tex]\frac{1}{4}[/tex]
Answer:
x = 1/4
Step-by-step explanation:
6 +4x = 7
collect terms
4x = 7 - 6
4x = 1
Divide both sides by 4
x = 1/4
Bye ! :-)