Answer:
Step-by-step explanation:
All the triangle's angles measure adds up to a total of 180º
HELPEPEPPDODOEPPDPFPF
X =12
Step-by-step explanation:
Supplementary Angels means the angles are added up to 180 degrees.
So , <1 + <2 = 180
Given that,
<1 = 2x +6
Now lets find the size of <2.
We know that,
Angles in a Straight line is also added up to 180 degrees.
So,
<2+ < 3 = 180
Let's Solve.
[tex] < 2 + < 3 = 180 \\ < 2 +( 3x - 6) = 180 \\ < 2 = 180 - (3x - 6) \\ < 2 = 180 - 3x + 6 \\ < 2 = 186 - 3x[/tex]
Now we know the size of <2
lets find out the value of x
[tex] < 1 + < 2 = 180 \\ 2x + 6 + 186 - 3x = 180 \\ 186 + 6 - 180 = 3x - 2x \\ 12 = x[/tex]
Let's check whether the answer is correct.
We know that <1 =<3 (Alternative Angles)
[tex] < 1 = < 3 \\ 2x + 6 = 3x - 6 \\ 2 \times 12 + 6 = 3 \times 12 - 6 \\ 24 + 6 = 36 - 6 \\ 30 = 30[/tex]
Answer is Correct !!!Hope this helps you...Have a nice day
~Hi1315~rewrite each pair of fractions using the least common denominator 5/6 2/5
Answer:
25/30 and 12/30
Step-by-step explanation:
6 and 5 have a least common multiple of 30
6*5 = 30
5/6 * 5/5 = 25/30
2/5 *6/6 = 12/30
Answer:
10/12 4/10
Step-by-step explanation:
the decimal expansion of the number 2 1 / 2
Answer:
[tex]{ \tt{ = 2 \frac{1}{2} }} \\ \\ = \frac{5}{2} \\ \\ { \tt{ = 2.5}}[/tex]
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
Will give BRAINLIEST to correct answer.
Triangles ABC and DEF are similar triangles. Solve. Round to the nearest tenth.
Find the height of triangle DEF.
Answer:
3.3 m
Step-by-step explanation:
the height = 2/3 × 5 = 10/3 = 3.3 m
Please delete my answer. I made a mistake
The product of a number x and four decreased
by twelve.
Which of the following is an expression for the
statement above
a/4x+12
b/4(x+12)
c/4(x-12)
d/4x-12
Step-by-step explanation:
a. increased b. discreased c. increased d. decreased
You are playing a game with your friend to see who can make the most baskets from the free-throw line. Each of you has 5 shots at the basket. How many ways are there for you to make exactly 4 shots?
A) 4
B) 5
C) 10
D) 6
Answer:
B) 5
Step-by-step explanation:
The given parameters are;
The number of shots at the basket = 5 shots
The number of ways to make exactly 4 shots is given by combination as follows;
The number of ways to shoot exactly 4 shots = ₅C₄ = 5!/(4!×(5 - 4)!) = 5
The number of ways to shoot exactly 4 shots = 5 ways
Which table of ordered pairs represents a proportional relationship?
х
-2
4
-6
y
4
16
36
х
-4
-6
-8
y
-8
-12
-18
o
х
-3
-5
-7
y
5
3
1
O
х
-3
-6
-9
y
12
24
36
Answer:
x=-3×-5×-7
-3×-5=15
15×-7=-105
=-105
(2x-y)2-(y+2)2:::::::::::::::
Answer:
(2x - y )2 - (y + 2)2 = 4 (x - y - 1)
Step-by-step explanation:
[tex](2x -y) 2 - ( y + 2 ) 2 = (4x -2y) -(2y + 4) \\\\[/tex]
[tex]= 4x - 2y -2y - 4\\\\=4x - 4y - 4\\\\=4(x-y-1)[/tex]
If p + q= 12 and pq=22, then find p2+q2.
p2 = p square
q2 = q square
(Don't get confused)
p+q = 12
Squaring both the sides
(p+q)^2 = 12^2
p2 + q2 + 2pq = 144
p2 + q2 + 2x 22 = 144
p2 + q2 = 144 - 44
p2 + q2 = 100
Answer:
q2=
Step-by-step explanation:
The formula for p^2+q^2p
2
+q
2
is
p^2+q^2 = (p+q)^2 -2pqp
2
+q
2
=(p+q)
2
−2pq
One evening the Scotts went to the Chalet Restaurant for
dinner. The bill was $67.65. Mr. Scott paid with four $20 bills.
How much change should he have received?
Given:
Total bill = $67.65
Mr. Scott paid with four $20 bills.
To find:
The amount of change he have received.
Solution:
It is given that, Mr. Scott paid with four $20 bills. So, the total amount paid by him is:
[tex]\$20\times 4=\$80[/tex]
Total bill = $67.65
Now,
Amount of change = Total amount paid - Total bill
= $80 - $67.65
= $12.35
Therefore, he should have received $12.35.
Identify the least common multiple of:
(x + 1), (x - 1), & (x^2 - 1)
Given:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex].
To find:
The least common multiple of given expressions.
Solution:
The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex]. The factor forms of these expressions are:
[tex](x+1)=1\times (x+1)[/tex]
[tex](x-1)=1\times (x-1)[/tex]
[tex](x^2-1)=(x-1)(x+1)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
The least common multiple is the product of all distinct factors with its highest degree. So,
[tex]L.C.M.=1\times (x+1)\times (x-1)[/tex]
[tex]L.C.M.=(x+1)(x-1)[/tex]
[tex]L.C.M.=x^2-1^2[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
[tex]L.C.M.=x^2-1[/tex]
Therefore, the least common multiple of given expressions is [tex]x^2-1[/tex].
Select the correct answer.
Tommy has a rectangular-shaped swimming pool. He wants to know the volume of water in the pool, but he is not sure what the width of the
pool is. He knows the relationship between the width and the length and height of the pool. He used this relationship to come up with the
following equation to find the volume of the pool when the width is w meters.
A. Z
B. X
C. Y
D. W
Answer:
it is x
Step-by-step explanation:
The volume of a shape is the amount of space in it.
The graph that satisfies the above condition is the (b) graph X:
The volume of a rectangular-shaped swimming pool is
[tex]\mathbf{V=l \times w \times h}[/tex]
Where:
[tex]\mathbf{l,w,h \ge 0}[/tex] ---all the dimensions are greater than 0
[tex]\mathbf{l,w,h \ge 0}[/tex] means that:
The graph of V must have three x interceptsThe graph of V must not pass through the origin (0,0)From the given graphs, the graph that satisfies the above condition is the graph X:
This is so because it crosses the x-axis three times, and it does not pass through the origin
Read more about volumes at:
https://brainly.com/question/13338592
Please help! Thank you :)
Step-by-step explanation:
[tex] \frac{ \frac{4x}{5 + x} }{ \frac{6x}{x + 2} } [/tex]
[tex] \ \frac{2(x + 2)}{3(5 + x)} [/tex]
[tex] \frac{2x + 4}{3x + 15} [/tex]
Answer:
2x+4 over 3x+15
Step-by-step explanation:
First divide 4x over 5+x by 6x over x+2 when multiplying 4x over 5+x by the reciprocal of 6x over x+2
Step 2: cancel out 2x in both numerator and denominator
Last step:use distributive property to multiply 2 by x+2 and 3 by x+5
What is the first term of the series?
a1 =
✓
Answer each question about the following
geometric series
10
k-1
S10 = 32
k-1
How many terms are in the series?
COMPLETE
Σ3(2): -
What is the last term of the series?
a1 =
1
DONE
2
9
10
COMPLETE
Answer:
Below.
Step-by-step explanation:
The first term (where k = 1)
= 3(2)^1-1
= 3*1
= 3,
The last term ( k = 10)
= 3(2)^(10-1)
= 3(2)^9
= 3* 512
= 1536.
Answer:
3
1536
A
Step-by-step explanation:
Please someone help me with this!
The sum of two numbers and their difference is 30.
NEED HELLPPPPP !!!!
Answer:
x = 14
Step-by-step explanation:
Triagle GIA and Triangle GNT are congruent.
Which of the following equations represents the graph of a line that is perpendicular to the graph of y = kx + b (where k and b are constants) and goes through the point (3, -4)?
Answer:
Step-by-step explanation:
When you ask "which of the following"
you must include the choices
A = (1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = (1, 5, 6, 7, 9)
A U B=
Answer: Choice C) integers from 1 to 10 inclusive
==============================================================
Explanation:
The "U" means "set union". We form a larger set that contains any number that's in set A, set B, or both.
So,
A U B = {stuff from set A, stuff from set B}
A U B = {1,3,5,7,9, 2,4,6,8,10}
A U B = {1,2,3,4,5,6,7,8,9,10}
A U B = set of integers from 1 and 10 inclusive
That makes choice C the final answer.
Choice B is very close to it, but that verbally describes the set {2,3,4,5,6,7,8,9} which leaves out 1 and 10. The "inclusive" makes sure to involve the endpoints 1 and 10, as well as everything in between.
Represent -2/11, -5/11, -9/11 on a number line.
Answer:
-9/ 11 ____-5/11 _____ - 2/11
Step-by-step explanation:
-2/11, -5/11, -9/11
All the numbers are negative ; the fraction which is largest is 9/11 ; then 5 /11 ; then 2 /11 ; however, since they are negative, they largest fraction becomes the least value.
Numbers on a number line are arranged from least to highest. Hence the numbers will be arranged in a number line as follows :
-9/ 11 ____-5/11 _____ - 2/11
evaluate 3|-3|
a. -6
b. 6
c. 9
d. -9
Answer:is that 3i or what?
-
Step-by-step explanation
Answer:
It's answer is d) 9
.........
7
6. Which expressions are equivalent to (7 -x)+ 4?
as
he
s
A 7x + 4
B. 4 + (7.)
C. (x + 4
D. 4 (7-X)
Option c is correct formula
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information.
Answer:
0.5x = 25.5
Step-by-step explanation:
Peter was thinking of a number x, then he halves it's
The price of a technology stock has risen to $9.66 today. Yesterday's price was $9.59. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
% increase = 100 x [(new price) - (original price)] / (original price)] = 100 (9.67 - 9.56) / 9.56
% increase ≅ 1.2% (to the nearest tenth)
Help pls I give brainlest
Answer:
y = 1/2x - 3
Step-by-step explanation:
The line intercepts with the y-axis at -3 and its pattern is going right two and up one.
A board 180 cm long is cut into two pieces such that 3 times the length of the larger piece is 85 cm longer than 4 times the length of the smaller piece. How long are the two pieces of board?
Answer:
smaller piece is 65cm
larger piece is 115cm
Step-by-step explanation:
let 's' = smaller piece
let '180-s' = larger piece
3(180-s) = 85 + 4s
540 - 3s = 85 + 4s
540 = 85 + 7s
455 = 7s
s = 455/7 which is 65cm
larger piece = 180-65 or 115cm
Willl
Give
Brainlist
Answer
:))
Answer:
[tex]x=54^{o}[/tex]
Step-by-step explanation:
Angles of straight line: 126 and x = 180
[tex]x+126=180[/tex]
[tex]x=180-126[/tex]
[tex]x=54^{o}[/tex]
{CHECK: [tex]54+126=180[/tex]}
hope this helps.....
Please help me!! Thank you.
Answer:
8640
Step-by-step explanation:
According to question,
P= 6000
T=3 year 8 months = 11/3 years
R= 12% per annum
Simple interest is given by :
[tex]SI=\frac{PRT}{100} \\SI=\frac{6000*12}{100} *\frac{11}{3} \\SI=24*11\\SI=2640 Rs[/tex]
Now,
Amount = P+SI
Amount=6000+2640
Amount=8640 Rs
8640 Rs amount which will clear her debt
if( 1 ,2 )and( 3 - 2)
are the two end point of a diameter of circle find the coordinates of the centre
Answer:
(2,0)
x-value: [1+3]/2 = 4/2 = 2
y-value: [2+-2]/2 = 0/2 = 0
Step-by-step explanation:
Find the missing value
Answer:
? = 24/23 or 1 1/23
Step-by-step explanation:
In order to do this you have to:
1) Isolate the variable
- you do this by dividing each side by factors that don't contain the variable
- you divide because it is the opposite of multiplication
Hope this helps!