Two sides of an equilateral triangle are labeled 12 inches and 3x - 6 inches. Find x.
Answers
Answer:
6
Step-by-step explanation:
In equilateral triangle, all the sides are congruent.
3x - 6 = 12
Add 6 to both sides
3x = 12 + 6
3x = 18
Divide both sides by 3
x = 18/3
x = 6
Related Questions
Evaluate -5x+8 when x=3 The value of the expression is
Answers
Answer:
-7
Step-by-step explanation:
replace x by 3
-5^3+8
-15+8
=-7
-5x+8
-5(3)+8
-15+8
-17
&
b.
In the diagram, transversal tcuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows they are
congruent.
alternate exterior angles
22, 23 and 25, 28
alternate interior angles
21, 28 and 22, 27
corresponding angles
23, 26 and 24, 25
vertical angles
21, 25 and 22, 26
Answers
Answer:
we know that
case a) alternate exterior angles
m∠2=m∠7 --------> by alternate exterior angles
m∠1=m∠8 --------> by alternate exterior angles
case b) alternate interior angles
m∠3=m∠6 --------> by alternate interior angles
m∠5=m∠4 --------> by alternate interior angles
case c) corresponding angles
m∠1=m∠5 --------> by corresponding angles
m∠3=m∠7 --------> by corresponding angles
m∠2=m∠6 --------> by corresponding angles
m∠4=m∠8 --------> by corresponding angles
case d) vertical angles
m∠1=m∠4 --------> by vertical angles
m∠2=m∠3 --------> by vertical angles
m∠5=m∠8 --------> by vertical angles
m∠6=m∠7 --------> by vertical angles
therefore
the answer in the attached figurewe know that
case a) alternate exterior angles
m∠2=m∠7 --------> by alternate exterior angles
m∠1=m∠8 --------> by alternate exterior angles
case b) alternate interior angles
m∠3=m∠6 --------> by alternate interior angles
m∠5=m∠4 --------> by alternate interior angles
case c) corresponding angles
m∠1=m∠5 --------> by corresponding angles
m∠3=m∠7 --------> by corresponding angles
m∠2=m∠6 --------> by corresponding angles
m∠4=m∠8 --------> by corresponding angles
case d) vertical angles
m∠1=m∠4 --------> by vertical angles
m∠2=m∠3 --------> by vertical angles
m∠5=m∠8 --------> by vertical angles
m∠6=m∠7 --------> by vertical angles
therefore
the answer in the attached figure
Step-by-step explanation:
THIS IS NOT MY ANSWER
Congruent angles are angles with equal measures
How to match the pair of angles with their relationships?Angles between parallel lines and transversals are congruent by any of the following relationships
Alternate exterior anglesAlternate interior anglesCorresponding anglesVertical anglesUsing the above angle relationships, the classifications of the angles are:
Alternate exterior angles
m∠2=m∠7
m∠1=m∠8
Alternate interior angles
m∠3=m∠6
m∠5=m∠4
Corresponding angles
m∠1=m∠5
m∠3=m∠7
m∠2=m∠6
m∠4=m∠8
Vertical angles
m∠1=m∠4
m∠2=m∠3
m∠5=m∠8
m∠6=m∠7
Read more about congruent angles at:
https://brainly.com/question/1675117
1.Find the rate in the unit given, 78 liters in 2 hours (liters per hour) ?
Answers
hope it helps you
can you brainlest me
2x+10=12
so x=??
[tex]\huge \dag \sf{Help \: me}[/tex]
Answers
Answer:
[tex]\sf\longmapsto\sf\boxed {x = 1}[/tex]
Step-by-step explanation:
[tex]\sf\longmapsto \: 2x + 10 = 12[/tex]
[tex]\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10[/tex]
[tex]\sf\longmapsto \: 2x = 2[/tex]
[tex]\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} [/tex]
[tex]\sf\longmapsto \: x = 1[/tex]
Answer:
[tex]\boxed {\sf x=1}[/tex]
Step-by-step explanation:
[tex]\sf 2x+10=12[/tex]
[tex]\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}[/tex]
[tex]\sf 2x+10-10=12-10[/tex][tex]\sf 2x=2[/tex][tex]\boxed{\mathrm{Divide\:both\:sides\:by\:}2}[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{2}{2}[/tex][tex]\sf x=1[/tex][tex]\boxed{\sf Hope\: it\:helps!}[/tex]
how many significant digits are in the number 129,000,000,000 m?
Answers
Answer:
3
Step-by-step explanation:
There are 3 because only numbers with values higher than 0 are counted, unless there is a decimal.
Becuase there is no decimal at the end of this number, there are only 3 counted. Those counted are 1 2 and 9, and all of the 0s dont count.
If there was a decimal at the end this number, it would have been 12
Answer:
3
Step-by-step explanation:
1,2,9
If is wrong i'm sorry
There are 5 chaperones for every 14 kids on a field trip. If there are 152 people on the trip, how many of them are adults?
Answers
Answer:
there are 40 chaperones and 112 kids.
Step-by-step explanation:
5 chaps. plus 14 kids -- 19 people
152 people divided by 19 -- 8
chaperones = 5 x 8 kids = 14 x 8
evaluate 2/6 + 1/3 + 1/2 = ?
Answers
Answer:
2/6 + ⅓ + ½
= (2+2+3)/6
= 7 / 6
= 1⅙
Step-by-step explanation:
brainliest plz
Answer:
1 1/6
Step-by-step explanation:
Find the common denominator for 6, 3, 2
6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.
Convert all the fractions into sixths.
The first fraction is already done.
1/3..... the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.
1/3 x 2/2 = 2/6
1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.
1/2 x 3/3 = 3/6
Now you have
2/6 + 2/6 + 3/6 = 7/6
Simplify the answer
6/6 = 1 so remove 6/6 from 7/6 and you are left with just 1/6
So your answer will be 1 and 1/6 or 1 1/6
A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer.
Answers
Answer:
104.80 cm²
Step-by-step explanation:
Formula to know: Volume = e³ ; SA = 6e²
V = e³ Substitute what you know V = e³ and solve
73 = e³
[tex]\sqrt[3]{73}[/tex] = e one edge of the cube
Find the SA
SA = 6e² Substitute the value for e
SA = 6([tex]\sqrt[3]{73}[/tex])²
SA = 6([tex]\sqrt[3]{73} \sqrt[3]{73}[/tex] )
Sa = 104.80
guys pls help me!!!!!!
Answers
Answer: 100
Step-by-step explanation:
A line equals 180 so subtract 180-80 to get your answer.
First person to answer will be marked brainliest
Answers
Answer:
b is the answer ........
which technolgy is nasa devloping that will help astronaughts reach mars?
Answers
Answer:
The Mars 2020 rover mission has major new technologies that improve entry, descent, and landing: Range Trigger, Terrain-Relative Navigation, MEDLI2, and its EDL cameras and microphone.
Step-by-step explanation:
I hope this will help you
Proportional Relashinships
Answers
Answer:
good
Step-by-step explanation:
for points don't take serious
(6m^2-3m+15)(4m-7) simplify
Answers
2 4[tex]m^{3}[/tex] − 5 4[tex]m^{2}[/tex] + 8 1 − 1 0 5
Answer:
24m^3−54m^2+81m−105
Step-by-step explanation:
Help ASAP I’m lost on this question
Answers
Answer: did u get it right
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x ÷ (6x² -10x) and
[tex]\dfrac{2x}{6x^{2}-10x}[/tex]
In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?
Answers
Answer:
B' (- 6, - 6 ) , C' (- 7, - 7 )
Step-by-step explanation:
Consider the coordinates of A and A'
A (- 1, - 1 ) , A' (- 3, - 3 )
- 1 to - 3 in both the x and y direction means subtracting 2 units , then
translation rule is
(x, y ) → (x - 2, y - 2 ) , then
B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )
C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )
My friend needs help!
Answers
[tex] \frac{840}{1200} = 0.7 = \frac{7}{10} [/tex]
So, option (c) will be correct
Cheerio :)
i need an explanation what....wajfasjf
Answers
Help please!! Geometry
Applying angle pair relationships
Answers
Answer:
m∠2 = 75°
m∠1 = 105°
Step-by-step explanation:
1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.
2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.
[tex]180-75[/tex] [tex]105[/tex]Therefore, m∠1 = 105°.
It takes 1 1/3 cups of cherries to make a cherry pie. Larry wants to make 5 cherry pies. How many cups of cherries will Larry need?
Answers
Answer:
Larry will need 6 and 2/3 cups of cherries.
Step-by-step explanation:
since one pie takes 1 1/3 cups, you would want to multiply that by 5 to see how many cups it will take for 5 pies. When you do this, you get a mixed number of 20/3 which simplifies to 6 2/3. I hope this helps.
please helpp I'll give brainiest
Answers
Answer:
q + q + 4
Step-by-step explanation:
q + q +4
3. A cosmetic retailer surveyed 200 customers on which of their top two lipstick shades the
customers preferred. The results are shown in the table. Find the probability of randomly
selecting a customer who prefers the Pretty Pink shade, given they are among the group of 30-
year-olds?
Answers
Answer:
.440
Step-by-step explanation:
Based on the number of people in the 30 - 39 age group, the probability of picking one who prefers Pretty Pink is 0.440.
What is the probability of a Pretty Pink preference in 30 - 39?This can be found as:
= Number of 30 - 39 year olds who preferred Pretty Pink / Total number of 30 - 39 year olds surveyed
Solving gives:
= 22 / (28 + 22)
= 22 / 50
= 0.440
Find out more on probability at https://brainly.com/question/24277936.
#SPJ6
If (a + b)^2 = a^2 +n + b^2 , what is n?
Answers
Answer:
[tex] {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} \\ n = 2ab[/tex]
40 POINTS! Thank you so much if you answer!
Answers
Answer:
o
Step-by-step explanation:
o
thx for the points :D
what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)
Answers
Step-by-step explanation:
m1=-2
m1m2=-1
-2m2=-1
m2=1/2
y+5/x+4=1/2
so 2y+10=x+4
2y-x=-6
Answer:
[tex]y=\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)
Perpendicular lines have slopes that multiply to get -1.
So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]
Substitute:
-2m=-1
Divide both sides by -2
m=[tex]\frac{1}{2}[/tex]
Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):
[tex]y=\frac{1}{2}x+b[/tex]
We need to find b.
Because we know the line passes through the point (-4, -5), we can use it to help solve for b.
Substitute -4 as x and -5 as y
[tex]-5=\frac{1}{2}(-4)+b[/tex]
Multiply:
-5=-2+b
Add 2 to both sides
-3=b
Substitute -3 as b:
y=[tex]\frac{1}{2}x-3[/tex]
Hope this helps!
explain step by step please and thanks
Answers
Answer:
B
Step-by-step explanation:
5(h)=w+8. get rid of 5 by multiply
5h=w+8
w=5h-8
calculate the range of the following numbers: 11,13,15,9,19,12,21,14,10,15,16,8,11,11,10
Answers
Answer:
it should be 13
Step-by-step explanation:
Answer:
The Range is 13
Step-by-step explanation:
Mean (Average): 13
Median: 12
Range:13
Largest: 21
Smallest: 8
Sum: 195
Count: 15
(Hope this helps can I pls have brainlist (crown)☺️
What is the missing side length of this right triangle? Type the answer in the box.
13 in.
5 in.
х
1
Answers
Answer:
12 in
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side , then
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take square root of both sides )
x = [tex]\sqrt{144}[/tex] = 12
Help!!!!!
factor 3^2+15x-42
Answers
Answer:
3(5x−11)
Step-by-step explanation:
32+15x−42
15x−33
=3(5x−11)
Please please help me with this question please now and show your steps
Answers
a) y-intercept
The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).
b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.
0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)
The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)
So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0
So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7
x-1=0
x= 1
The zeroes are at the points (1, 0) and (7, 0)
C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)
y = x^2 - 8x + 7
y - 7 = x^2 - 8x
We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).
So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).
(x-4)(x-4) multiplies out to x^2 - 8 + 16.
continuing,
y - 7 = x^2 - 8x
Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16
y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.
The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.
D. The vertex is solved in C as the point (-4, -9).
Sarah and Maya must split the $15 they earned, from scorekeeping a volleyball game. Sarah says, “ there’s only one way to split this money, we both get $7.50.” Maya argued that there were an infinite number of ways to divide the money. Who is correct? Prove their argument.
(Please help!)
Answers
Answer:
sarah is correct
Step-by-step explanation:
there are not multiple ways to divide you can only use division and the equation is 15/2