Answer:
Step-by-step explanation:
.<6 and <3
SOLUTION:
Interior angles that are non adjacent and lie on
opposite. In the figure, angles <5 and <4 are consecutive interior
angles. sides of the transversal are alternate interior
angles.
<4 and <7
SOLUTION:
In the figure, angles 1 and 3 are corresponding
angles. Use the Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then
each pair of corresponding angles is congruent
If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2
Answer:
(1) 5
(2) 20
(3) 28
(4) 25
Step-by-step explanation:
(1)
Substitute: 7 - 2
Calculate the sum or difference:
Answer: 5
(2)
Substitute: 2 × 7 + 3 × 2
Calculate the product or quotient: 14 + 6
Calculate the sum or difference: 20
Answer: 20
(3)
Substitute: 2 × 7 × 2
Calculate the product or quotient: 28
Answer: 28
(4)
Substitute: (7 - 2) ²
Calculate the sum or difference: 5²
Calculate the power: 25
Answer: 25
Answer:
Step-by-step explanation:
7-2=5
2×7+3×2=20
2×7×2=28
(7-2)^2
7-2=5
5^2=25
find the percentage change of $20 to $25
Answer:
25%
Step-by-step explanation:
Percent change formula:
[tex]C = \frac{x_{2} - x_{1}}{x_1}[/tex]
x_1 = initial value
x_2 = final value
[tex]\frac{25-20}{20} = \frac{5}{20} = \frac{1}{4}[/tex]
1/4 = 0.25
25 PERCENT INCREASE
it cant be descrase
Find the 75th term of the arithmetic sequence -21, -10, 1
Answer:
793
Step-by-step explanation:
Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.
So, -10--21=11 and also 1--10=11
so common difference is 11
now we will use the formula Asubn=Asub1+d(n-1)
D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1
Anyways, Asub75=-21+11(75-1)=793
5/7 of a number is 55
work out the number.
please help with this question
Answer:
77
Step-by-step explanation:
Hope this helps..
Good luck.
i need the solution to this problem pls!
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
PLS HELP PLS ILL GIVE BRAINLKEST THANKS
Answer:
2 d>7 because at first you have to distance how much hours is from Virginia to Florida and thats approximately 12hrs and 33 minutes so, d is greater than 7 hours
Determine the value Y, if X is -2
Y=X-12
Please help! urgent! A-E questions
no links!!!!!
A. Name a line parallel to KI.
B. Name a line skew to KI
C. Name a plane parallel to plane KIJ.
D. Name a line parallel to plane GJI.
E. What is a difference between parallel lines and skew lines?
Answer:
a. KJ
b. GF
c. HFG
d. FIJ
e. parallel lines will never intersect, skew lines are crooked and not in line with another specified line.
Step-by-step explanation:
hope this helps :)
Find the measure of
Answer:
120° , 80° , 90°
Step-by-step explanation:
The sum of the inner angles of a triangle is one hundred and eighty degrees. and as the diagram shows, The AB is equal to AC so angle ABC is equal to angle ACB so Angle A is 180°-(30°×2)=120°
you can get the second follow the above steps
and the third one is 2x+x+x=180°
so 4x=180°
so x=45°
so 2x=90°
Q.17) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 30°and angle C = ?°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = x°
angle B = 30°
angle C = ?°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = 30°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛30° + x° + 30° = 180°
⇛60° + x° = 180°
⇛x° = 180°÷60 = 180°:60
⇛x° = 180°/60
⇛x° = 3°
Now,
⇛angle A = x = 3°
⇛angle B = 30°
⇛angle C = 30°
Answer: The value of x for the given problem is 3°
Q.18) Given info:- In ∆ABC , AB = AC where, angle A = x°, angle B = 50°and angle C = ?°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = x°
angle B = 50°
angle C = ?°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = 50°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛ x° + 50°+50° = 180°
⇛x° + 100 = 180°
⇛x° = 180°÷100° = 180°:100°
⇛x° = 180°/100
⇛x° = 18°
Now,
⇛angle A = x = 18°
⇛angle B = 50°
⇛angle C = 50°
Answer: The value of x for the given problem is 18°
Q.19) Given info:- In ∆ABC , AB = AC and angle A = 2x°, angle B = x°, angle C = x°. Find the value of X in triangle ABC ?
Explanation:
Given that
ABC is a triangle
angle A = 2x°
angle B = x°
angle C = x°
And
AB =AC
We know that
In a triangle Angles opposite to equal sides are equal.
⇛Opposite angle to AB = Opposite angle to AC
⇛angle B = angle C
⇛angle B & C = x°
We know that
The sum of all angles in a triangle is 180°
⇛ angle A + angle B + angle C = 180°
⇛x° + 2x° + x° = 180°
⇛2x° + 2x° = 180°
⇛4x° = 180°
⇛x° = 180°÷4 = 180°:4
⇛x° = 180°/4
⇛x° = 45°
Now,
⇛angle A = 2x = 2(45) = 90°
⇛angle B = 45°
⇛angle C = 45°
Answer: The value of x for the given problem is 45°
Is it possible to draw a triangle whose sides have lengths 10.3 cm, 5.8 cm and 4.6 cm?Justify your answer.
(answer me fast kid)
Answer:
Yes it is possible
Step-by-step explanation:
let a = 10.3, b =5.8 , c= 4.6
a+b= 16.1>4.6=c
b+c=5.8+4.6=10.3>10.3=a
c+a=4.6+10.3=14.7>5.8=b.
3/5 of 20.2%0fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
Answer:
what?
Step-by-step explanation:
what is the distance between 24 ft and 10 ft
Answer:
the distance is 14 feet. hope this helps
DesBest Granola bars are now 25% longer. if the original bar was 20 centimeters long, how long is the new granola bar?
Answer:
25
Step-by-step explanation:
25% is a 4th of the whole number, the whole number is 20 so a 4th of 20 is 5 because 5 times 4 equals 20.
due to the fact that 25% of 20 is 5 we now have to add that to the whole number which is 20.
20 + 5 = 25
Pls someone help me!!
Answer:
116°
Step-by-step explanation:
Interior angles in a triangle are added up to 180°.
Therefore,
(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°
Now you can solve this equation and find the value of x.
[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]
[tex]14x+4+5x-1+2x+9=180[/tex]
[tex]14x+5x+2x+4-1+9=180[/tex]
[tex]21x+12=180[/tex]
[tex]21x=180-12[/tex]
[tex]21x=168[/tex]
[tex]\frac{21x}{21}= \frac{168}{21}[/tex]
[tex]x=8[/tex]
Now let's find the value of angle A
14x + 4
14 × 8 + 4
116°
r^2 - 8r - 22 = 6 solve for r
Answer:
-34
Step-by-step explanation:
r^2 - 8r - 22 ( R = 6)
6^2 =36 (8r = 8*6=48)
36 - 48 = -12
-12 - 22 = -34
About 2% of the population has a particular genetic mutation. 400 people are randomly selected. Find the mean for the number of people with the genetic mutation in such groups of 400.
Answer:
200
Step-by-step explanation:
So it'll be 400 ÷ 2 = 200 , and a way to to check your way would be 200 x 2 = 400
x =
82
262
98
when answering this can you explain how you got the answer so i can stop asking brainly.
Answer:
82
Step-by-step explanation:
in a quadrilateral the sum of opposite sides should be 180 degrees
Evaluate -(2-6)(23).
O A. -8
O B. 33
O c. - 3
O D. 8
Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)
Answer:
(hope this helps can I pls have brainlist (crown))
Step-by-step explanation:
Morgan could work 6 hours lifeguarding and 3 hours walking dogs.
the total number of hours worked in both jobs,
x+y
x+y, must be less than or equal to 11
solve inequalities for y
x+y≤11
y≤11−x
Morgan makes $19 per hour lifeguarding, so in x hours she will make
19x dollars. Morgan makes $6 per hour walking dogs, so in
y hours she will make 6y dollars. The total amount earned 19x+6y
19x+6y must be greater than or equal to
$120
solve inequalities for y
19x+6y≥120
6y≥120−19x
y≥20-19/6x
Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = X - 4
H(x) = =x
h(x) = x
Answer:
Can you pls give a bit more information.
Step-by-step explanation:
Tangela bought 12 cans of sodas for $5.40
Answer:
324
Step-by-step explanation:
Answer:
0.45 for one can of soda
Step-by-step explanation:
If you want to know the price for one soda all you have to do is divde.
12 ÷ 5.40 = 0.45
So, one soda can is $0.45! Have a great day friend! :D
SALE
75% OFF
original price!
If a desk has a sale price of $13, what was the original price?
Answer:
52$
Step-by-step explanation:
13 (75% off) so 13 is 1/4 the price.
13x4 = 52
Find the slope and the y−intercept of the line in the graph.
The slope is .
The y−intercept is .
Can anyone help me?
Answer:
slope: 5intercept: 4Step-by-step explanation:
It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...
m = (y2 -y1)/(x2 -x1)
m = (9 -4)/(1 -0) = 5
The slope is 5.
__
The y-intercept is the value of y when x=0. The point (0, 4) tells us ...
The y-intercept is 4.
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?
Answer:
how many kids are in each class though
Please help. Thank you!
Answer: 6.33 cups of flour
Step-by-step explanation:
The ratio of cups of cashews to cups of flour is 4:5. We can set this as a ratio: (4 cups cashews)/(5 cups flour).
If we have 3 cups of cashews, we can multiply by uasing the inverse of the above ratio: (5 cups fluor)/(4 cups cashews)
(3 cups cashews)*((5 cups fluor)/(4 cups cashews) = (15/4)*( cups fluor) = 3.75 cuops of fluor.
What is the value of x in (2/3)x=4/9?
Answer:
The value of x would be 2/3
Answer:
the answer for x is 2
Step-by-step explanation:
The L.C.M of two numbers is 2079 and their H.C.F. is 27. If one of the numbers is 297, then the other number is:
Step-by-step explanation:
2079 / 297 = 7
that is the first indication about what we need.
but 7 itself can't be the solution, because the solution needs to contain at least a factor of 27.
297 = 27×11
therefore,
2079 = 27×11×7
and the other number must now be
27×7 = 189
because due to the HCF it has to be divisible by 27, but must have another additional factor. a factor that allows it to divide 2079 without remainder, and makes it big enough to block any LCM lower than 2079.
there are only 2 other factors available in 2079 : 11 and 7.
297 has already "taken" 11, and the two numbers cannot be the same (otherwise the LCM and the HCF would be the number itself), so that leaves 7 for the other number.
hence the solution.
the other number is 189
and the other number must then be 27×7 = 189
For f(x) = -5x+10, what us the value of x for which f(x) = 35
Answer:
x= -5
Step-by-step explanation:
f(x)= -5x +10
35= -5x +10
35-10 =-5x
25/-5 =x
x= -5
(6x + 4) - (3x - 2) simplify
Answer:
9x -2
Step-by-step explanation:
6x + 4 - 3x - 2
6x + 3x +4 - 2
9x -2
Answer:
3x + 4Step-by-step explanation:
(6x + 4) - (3x - 2) simplify
(6x + 4) - (3x - 2)=
6x + 4 - 3x + 2
3x + 6
We have a right triangle $\triangle ABC$ where the legs $AB$ and $BC$ have lengths $6$ and $3\sqrt{3},$ respectively. Medians $AM$ and $CN$ meet at point $P.$ What is the length of $CP$
By using Pythagoras theorem and distance formula the length of CP is obtained as 3.43 units.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
To find the length of CP, first find the coordinates of point P, and then use the distance formula to calculate the length of CP.
Let A be at the origin (0, 0), and let B be on the positive x-axis at (6, 0). Then we can find the coordinates of C using the Pythagorean theorem -
AC² + BC² = AB²
AC² + (3√3)² = 6²
AC² = 9
AC = 3
So C is located at (3, 3√3). We can find the coordinates of M by taking the average of the coordinates of A and B, which gives -
M = ((0+6)/2, (0+0)/2) = (3, 0)
Similarly, find the coordinates of N by taking the average of the coordinates of B and C, which gives -
N = ((6+3)/2, (0+3√3)/2) = (4.5, 1.5√3)
Now find the equation of the line passing through M and C, which is the line containing median AM -
slope = (3√3 - 0)/(3 - 0) = √3
y - 0 = √3(x - 3)
y = √3x - 3√3
And find the equation of the line passing through N and A, which is the line containing median CN -
slope = (0 - 3√3)/(0 - 6) = √3/2
y - 0 = (√3/2)(x - 6)
y = (√3/2)x - 3√3
Now, find the intersection point of these two lines, which is point P -
√3x - 3√3 = (√3/2)x - 3√3
x = 6/3.5
x = 12/7
y = √3(12/7) - 3√3
y = 3√3/7
So P is located at (12/7, 3√3/7).
Now use the distance formula to find the length of CP:
CP² = (12/7 - 3)^2 + (3√3/7 - 3√3)²
CP² = (33/7)^2 + (6√3/7)^2
CP² = 1089/49 + 72/49
CP² = 1161/49
CP = √1161/7
Therefore, the length of CP is (approximately) 3.43.
To learn more about Pythagoras Theorem from the given link
https://brainly.com/question/21970437
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