Find the distance between (8, -4.7) and (8, 5.3)
Answer:
d = 10
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]
If m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure ∠1 = f.m∠7 = k.m∠13 = b.m∠3 = g.m∠8 = l.m∠14 = c.m∠4 = h.m∠9 = m.m∠15 = d.m∠5 = i.m∠10 = n.m∠16 = e.m∠6 = j.m∠11 = o.m∠17 =
Answer:
Step-by-step explanation:
1). Since, m∠2 + m∠1 = 180° [Supplementary angles]
125° + m∠1 = 180°
m∠1 = 180° - 125°
m∠1 = 55°
2). Since ∠7 ≅ ∠12 [alternate interior angles]
m∠7 = m∠12 = 37°
3). m∠3 = m∠18 = 102° [Alternate exterior angles]
4). m∠8 + m∠3 + m∠7 = 180°
m∠8 + 102 + 37 = 180
m∠8 = 41°
5). m∠14 = (m∠7 + m∠8) [Alternate angles]
m∠14 = 37 + 41 = 78°
6). m∠4 = 180° - m∠3 [Linear pairs]
= 180 - 102
= 78°
7). m∠9 = m∠3 = 102° [Vertical angles]
8). m∠15 = m∠2 [Alternate exterior angles]
= 125°
9). m∠5 = m∠15 [Corresponding angles]
= 125°
10). m∠10 + m∠5 = 180° [Sum of interior angles on one side of the transversal]
m∠10 = 180 - 125
= 55°
10). m∠16 = m∠10 = 55° [Vertical angles]
11). m∠6 = m∠10 = 55° [Alternate interior angles]
12). m∠11 = m∠15 = 125°
13). m∠17 = m∠14 = 78° [Vertical angles]
The answers are given as follows
Given that
a║b
m∠2 = 125°
m∠12 = 37°
m∠18 = 102°
From the identity of supplementary angles
m∠1 + m∠2= 180°
So m∠1 = 180° - 125° = 55°
m∠7 =m∠12 = 37° (Interior opposite angles )
m∠3 = m∠18=102° (Alternate Exterior angles )
m∠8 = 180° - m∠3 -m∠7 = 180°- 139° = 41°
m∠14 = m∠7+ m∠8= 37° + 41° = 78° ( Alternate opposite angles)
So m∠13 = 180° -78° = 102° (linear pair)
m∠4= 180° - m∠3 = 180° - 102° = 78°
m∠9 =180° - m∠4 = 180° - 78 = 102° (vertically opposite to m∠3)
m∠15 = m∠2 = 125° (Alternate exterior angles)
m∠5 =m∠15 = 125° (Corresponding Angles )
m∠10 = 180° -125° = 55°
m∠16 = m∠10 =55° ( Vertically Opposite Angles)
m∠6 = m∠10 =55° (Alternate interior angles)
m∠11 = 180 ° - m∠6° - m∠7° = 180° - 55° - 37° = 88°
m∠17 = 180° - m∠13 = 180° -102° = 78 °
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What is the result when the number 92 is decreased by 50%?
Answer:
46
Step-by-step explanation:
50%=0.5
0.5*92=46
Jeanne has $12.50 in her bag. How much money does she need to buy a game that costs $72.60?
Answer:
60.1
Step-by-step explanation:
Just get 72.60 and subtract 12.50
Why didn't the butterfly go to the dance? show your thinking!
Answer:
its math roll dont wory ill show with no math and explantion its just awnsers
Step-by-step explanation:
8 i
4 t
11 w
1 a
6 s
9 a
14 m
7 o
10 t
3 h
13 b
5 a
2 L
I couldnt get the last one but i did in the same order as it has it
To solve the question we used the criteria that the solution depends upon the sign, if negative number is greater than sign will be a minus .
if positive number is greater than sign will be a plus.
The sign while addition and subtraction depends on the larger number .
If negative number is greater than sign will be a minus .
if positive number is greater than sign will be a plus.
1.
A. -5+2=-3
B. 7+-3= 4
C. -4+-6=-10
2.
A. 1+-8=-7
B. -6+-12=-18
C. -2+9=7
3.
A. -7+6=-1
B. 5+-8=-3
C. 12+13=25
4.
A. -10+-10=-20
B. 17+-1=16
C. -11+5=-6
5.
A. 4+-9=-5
B. -7+-15=-22
C. -3+12=9
6.
A. 16+-8 = 8
B. -5+20=15
C. -6+6=0
Similarly we can do the remaining solutions.
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3x - 6x + 2 > 65
Mathematic
3x - 6x + 2 > 65
Combine like terms.
-3x + 2 > 65
Subtract 2 from both sides.
-3x > 62
Divide both sides by -3
x < -62/3
Answer:
3x - 6x + 2 > 62
→ -3x + 2 > 62
→ -3x > 62
→ x < -62/3
Which of the following equations is equivalent to the equation? 4x-6y=9
A. y=2/3x-3/2
B. y= -2/3x+3/2
C. y=3/2x-9/4
D. y= -3/2x+9/4
URGENTLY NEED ANSWER A S A P
Answer:
A. y=2/3x-3/2
Step-by-step explanation:
Subtract 4x over then divide both side by -6
Help me plz I don't know how to do this!
Answer:
B
Because the right side is double the number on the left
Miranda needs to cut strips of paper that are 1/8 of an inch. If she has piece of paper that is 7 and 3/4 inches long. How many strips of paper can she make? *
Answer:
62
if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62
What is the domain of f(x) + g(x)
Answer:
All real numbers except 6
I don’t know the answer to 7+x=12 it is pre algebra please help me
Answer:
Answer down below!! :))
Step-by-step explanation:
For this problem, we need to ask ourselves, 7 plus what gives us 12?
7 + 5 = 12
So, therefore, X = 5
Answer:
x=5
Step-by-step explanation:
7+x=12
Minus both sides by 7
7+x=12
-7 -7
=0 =5
drop the x
x=5
I hope i could be of help to you! You're Welcome!
Five boxes of crackers cost $9 at this rate how much do 20 boxes cost
5 1.80, the crackers cost $1.80 per box: 20 3 1.80 5 36. So, 20 boxes cost $36.00.
Answer:
$36
Step-by-step explanation:
To find how much one box costs you divide 9÷5 = 1.8
Then you take 1.8 × 20 = 36
If you want me to go over it in depth, let me know! Have a great day!
If f(x) = 6x – 1 and g (x) = StartFraction x + 1 Over 6 EndFraction, which expressions can be used to verify g(x) is the inverse of f(x)? Check all that apply.
Answer:
B and C
Step-by-step explanation:
Answer: B and C
Step-by-step explanation:
Evaluate 42 = (5 – 3). (1 point)
Answer:(5-3)=42
Step-by-step explanation:
Hello There!!
Your answer is 21.
First, You should do is (5 ₋ 3) = 2.
Then, You need to divide 42/2 =21.
[tex]\sqrt[HopeThisHelps}[/tex][tex]^{HopeThisHelps}[/tex]
[tex]\frac{Loserbrazts}{}[/tex]
A red kangaroo and a gray kangaroo together weigh 139 kg. The red kangaroo weighs 35 kg less than the gray kangaroo. How much does the gray kangaroo weigh?
Answer:
Gray kangaroo weighs 87 kg.
Step-by-step explanation:
Total weight of the two kangaroo = 139 kg.
Let the weight of the gray kangaroo be represented by p.
Since the red kangaroo weighs 35 kg less than the gray kangaroo = (p - 35) kg.
Thus;
weight of gray kangaroo + weight of red kangaroo = 139 kg
p + (p -35) = 139
p + p -35 = 139
2p = 139 + 35
2p = 174
p = 87
The weight of the gray kangaroo is 87 kg.
Weigth of the red kangaroo = (87 - 35)
= 52 kg
The gray kangaroo weighs 87 kg.
let the weight of the gray kangaroo as G.
We have,
the red kangaroo weighs 35 kg less than the gray kangaroo.
So, the weight of the red kangaroo can be represented as G - 35.
We also know that the combined weight of the red kangaroo and the gray kangaroo is 139 kg. So we can write the equation:
G + (G - 35) = 139
Combining like terms:
2G - 35 = 139
Now, let's solve for G by isolating the variable:
2G = 139 + 35
2G = 174
Dividing both sides by 2:
G = 174 / 2
G = 87
Therefore, the gray kangaroo weighs 87 kg.
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1.
The ratio of pink flowers to yellow flowers is 6:2, if there are 48 pink flowers how many
yellow flowers are there?
Answer:
16 yellow flowers
Step-by-step explanation:
[tex]Pink: yellow\\6\:\::\:2\\\\Total\:ratio = 6+2 = 8\\\\48 \:pink\: flowers[/tex]
First calculate total no of flowers
[tex]\frac{6}{8} \times x = 48\\\\\frac{6x}{8} =48\\\\Cross\:Multiply\\6x = 48\times 8\\6x = 384\\\\Divide\:both\:sides\:of\:the\:equation\:by\:6\\\frac{6x}{6} = \frac{384}{6} \\\\x = 64\\\\Total \:flowers = 64[/tex]
Calculate no of yellow flowers
[tex]Total\:flowers-Pink\:flowers = Yellow\:flowers\\\\Yellow\:flowers = 64 - 48\\Yellow\:flowers =16[/tex]
On a map, 2 cm represents 30 mi. The actual distance between two towns
is 75 mi. What is the distance between the towns on the map? USE
NUMBERS ONLY*
Answer:
5 cmStep-by-step explanation:
step one:
Given that the scale of the map is
2cm to represent 30 miles
That is every 1 cm is 15 miles in reality
step one:
what we are solving for is the distance in cm on the map so,
1cm rep 15miles
xcm rep 75miles
cross multiply
Xcm= 75/15
X= 5 cm
hence on the map 75miles distance between the two towns is seen as 5 cm
-14x+28+6x=-44 simplify.
Dominique had $250 to spend at the mall. She bought jeans for $27.50, a sweater for $32.75, and 3 shirts for $12.50 each. How much money does she have left after shopping?
Answer:
152.25
Step-by-s152.25tep explanation:
Answer:
Dominique has $162.25 dollars left after shopping.
Step-by-step explanation:
250 - 17.50 - 32.75 - 12.50 x 3
250 - 17.50 - 32.75 - 37.5
232.5 - 32.75 - 37.5
199.75 - 37.5
162.25
Four times the smallest of three consecutive integers is three more than three times the largest. What is the middle integer?
Let, first integer is x.
Therefore, other two are x+1 , x+2 .
Now, mathematical expression of given conditions is :
4x + 3 = 3(x+2)
4x + 3 = 3x + 6
x = 3.
So, the consecutive numbers are 3 , 4 and 5.
Therefore, the middle integer is 4.
Hence, this is the required solution.
Identify the like terms in the expression:
-12x +15y -17x +16y
Answer:
-29x+31y
Step-by-step explanation:
= -12x-17x+15y+16y
=-29x+31y
Value of (x-y)2 is,please answer
Answer:
2 x − 2 y
I hope this helps! UwU
If you can give brainliest that will be awesome
Hey there!☺
[tex]Answer:\boxed{2x-2y}[/tex]
[tex]Explanation:[/tex]
[tex](x-y)2[/tex]
(x + -y)2 Make y negative
(x)(2) + (-y)(2) Separate with parenthesis.
2x - 2y
Hope this helps!
The pressure exerted on an object under water increases by 1 atmosphere every 33 feet below the surface of the water. At sea level, the pressure is l atmosphere. Which equation gives the total pressure p, in atmospheres, exerted on an underwater object at a depth of f feet below sea level? A) P 33 B) p 33f C) p 33f+ 1
Answer:
ooooooooooooooooooooooooo
The linear function that gives the total pressure exerted on an underwater object at a depth of f feet below sea level is given by:
p = l + 0.0303f.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem:
The pressure changes by 1 for each 33 feet of depth, hence m = 1/33 = 0.0303.The initial pressure is of l, hence b = l.Thus, the function is given by:
p = l + 0.0303f
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Giving 40 points to whoever can solve a through k I need it now
Answer:
a: -1
b: 3
c: DNE
d: -1
e: 1
f: 1
g: 1
h: 2
i: -infinity
j: 0
k: infinity
I thought I had the right answer but apparently I don't. Help would be greatly appreciated. Thank you!
Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
-96 divided by (-12)
Answer:
8
Step-by-step explanation:
−2xy^4(7x^2)
i need help please.
Answer:
-14x³y₄ sorry the 4 goes up in the top like the 3Step-by-step explanation:
Simplify the expression. Write your answer as a complex number.
2 times the square root of 25 plus the square root of negative 16
Answer:
d
Step-by-step explanation:
If m is the midpoint of ab find the coordinates of a if b(4,6) and m(1,2) A is pls help I need to know pls
Sean sells chicken coops for $450 each plus a $100 delivery fee. The table below represents this situation. Total Cost Number of Coops 1 2 $550 $1,000 $1,450 $1,900 3 4 Which of the following represents the y-intercept of the graph of this situation? A 500 B 100 с 450 D 550
Answer:
100
Step-by-step explanation:
Got it right on test