Answer:
Step-by-step explanation:
Let the first angle = x
Let the second angle = y
They are complementary so
x + y = 90
x = y + 30
Substitute for x
y + 30 + y = 90
2y + 30 = 90 Subtract 30 from each side
2y = 90 - 30
2y = 60 Divide by 2
2y/2 = 60/2
y = 30
x = y + 30
x = 30 + 30
x = 60
help meeee
6x-3=3x+12
Answer:
x = 5
Step-by-step explanation:
Simplifying
6x + -3 = 3x + 12
Reorder the terms:
-3 + 6x = 3x + 12
Reorder the terms:
-3 + 6x = 12 + 3x
Solving
-3 + 6x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = 12 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = 12 + 0
-3 + 3x = 12
Add '3' to each side of the equation.
-3 + 3 + 3x = 12 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = 12 + 3
3x = 12 + 3
Combine like terms: 12 + 3 = 15
3x = 15
Divide each side by '3'.
x = 5
What is the slope of the line through the points A(-3, 4) and B(2, -1)
A -1
B 1
C -3
D -1/3
use the zero property to determine the solutions for (2x + 6)(x - 7) = 0.
Need help asap please
Answer:
x = -3
x = 7
Step-by-step explanation:
If either term is zero the product is zero
(2x + 6)(x - 7) = 0
2x + 6 = 0
2x = -6
x = -3
x - 7 = 0
x = 7
Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number.
Answer:
P(A) = 1/2
Step-by-step explanation:
The question seems incomplete, I assume that we want to find the probability of event A.
Here we have a fair six-sided dice, so each one of the six numbers has exactly the same probability of being rolled.
Such that the possible outcomes of rolling the dice is:
{1, 2, 3, 4, 5, 6}
Now we define event A as rolling an even number.
The possible outcomes such that the event A is true are the even numbers:
{2, 4, 6}
So we have 3 outcomes out of 6.
Then the probability of rolling an even numbers, is just the quotient between the number of outcomes of even numbers (3) and the total number of outcomes (6).
Then:
P(A) = 3/6 = 1/2 = 0.5
please help if u know the answers quarter ends in two days !!!
Answer:
5A) radius = 9 ft
5B) diameter = 18 ft
5C) fencing length = 56.52 ft
5D) 6.35 days
Step-by-step explanation:
Radius is given when it is 9 ft of rope (outside to center of circle)
Diameter is two times radius = 18.
Circumference(fence length) = 2 * 3.14 * 9 = 56.52.
Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the circumference of a circle with an area of 16mm
Answer:
14.176 mm
Step-by-step explanation:
16=[tex]\pi[/tex][tex]r^{2}[/tex]
r=2.25733052
C=2[tex]\pi[/tex]r
C= 14.176mm
Arthur received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Arthur receive for his birthday last year?
Answer:
He received $320
Step-by-step explanation:
It's $10 less than half of last year so we add 10 to 150 which give 160 *2 (because it was half) and we get $320(the amount he got last year) All, in all this kids parents are losing money.
Answer:
The answer is $320
Step-by-step explanation:
This year, Arthur received $150 for his birthday, which is $10 less than half the amount he received last year.
So, half of the amount of money he received last year was $150+$10 = $160.
In order to find the money Arthur received last year, this number has to be multiplied by 2.
Arthur received $160*2 = $320 in total.
this is algebra just letting u know and plzz help
Algebra
The graph is C, or the graph down left.
This is because the other graphs lack the same vertex.
What is the position of C on the number line below write your answer as a fraction or mixed number
Answer:
Step-by-step explanation:
Math challenging and now math challenging me to challenge math
Answer:
$30
Step-by-step explanation:
Total amount paid by the hire purchase scheme:
$60 + 6 * $45 = $60 + $270 = $330
Total amount paid in just the cash price:
$300
Difference:
$330 - $300 = $30
Rosle is building a wheelchair ramp that is 18 feet long and 2.5 feet high. She needs to install a vertical
support plece 6 feet from the end of the ramp. What is the lengthof the support piece in inches?
2.5 ft
h ft
6 ft
18 ft
If y varies directly with x and y=95 when x=5, find x when y=38.
Answer:
X is 2
Step-by-step explanation:
the equation is Y = 19X
when X=5, Y=95
when Y=38, X = 38/19 = 2
Solve X for the nearest tenth.
Answer:
[tex] \blue{x = 11.4} [/tex]
Step-by-step explanation:
See the figure.
The right triangles has legs of lengths 9 and 7.
[tex] 9^2 + 7^2 = x^2 [/tex]
[tex] x^2 = 130 [/tex]
[tex] x = \sqrt{130} [/tex]
[tex] \blue{x = 11.4} [/tex]
PLZ HELP I GIVE BRAINLIST!!
Answer:
5
Step-by-step explanation:
X + 2y = 13
Since x = 3
3 + 2y = 13
2y = 13 - 3
2y = 10
Divide both sides by 2
Y = 5
midpoint formula (7, 4) , (9, -1)
Answer:
[tex]midpoint = ( \frac{x _{1} + x _{2}}{2} , \: \frac{y _{1} + y _{2}}{2} ) \\ = ( \frac{7 + 9}{2} , \: \frac{4 + - 1}{2} ) \\ = (\frac{16}{2} , \: \frac{3}{2} ) \\ = (8, \: 1.5)[/tex]
Mikael's father bought a new car for
$35 500. The car decreased in value by 20%
after one year. What was the value of the
car after one year?
Answer:
$7100
Step-by-step explanation:
10% = 3550
Multiply by 2 to get 20%
20% = 7100
Hope this helps!!
Answer:
the value of the car after one year is 28400
Ac=14 bc=11 what is the radius
Answer:
Radius = √75 or 5√3 or 8.7
Step-by-step explanation:
This forms a right triangle meaning you can use Pythagorean Theorem to solve for the missing side which, in this case, will equal the radius.
Let a = radius
a² + b² = c²
a² + 11² = 14²
a² + 121 = 196
a² = 75
a = √75 = 5√3 ≈ 8.7
Answer:
radius = ab = √75
Step-by-step explanation:
Triangle ABC is a right triangle so to find the radius, aka one of the sides of the triangle, we need to use the Pythagorean theorem.
ac^2 = bc^2 + ab^2 Pythagoras Theorem
14^2 = 11^2 + ab^2 Substitution
196 = 121 + ab^2 Alg
75 = ab^2 Alg
ab = √75 Alg = radius
16. If triangle ABC is isosceles, and if AB = BC and
Answer:
C. 39
Step-by-step explanation:
If AB = BC, and angle A is 39 degrees. we can assume that angle C would have a similar angle.
Since in △ABC , AB=BC
∴ the triangle is isoceles.
In an isoceles triangle the angles opposite to equal sides are equal.
∴∠A=∠C
This means that C.39 is the correct answer
Answer:
39, C
Step-by-step explanation:
If angle A = 39, then the angle C is equal to A. This may seem like a weird question, but it’s the way that the triangle is positioned.
Also, you can prove this by looking at the equation provided in the prompt.
B is the vertex that they are creating this problem from, therefore, it may be helpful to turn the triangle around!
Which transformation maps the large triangle onto the
small triangle?
dilation
reflection
rotation
translation
Answer:
A. Dilation
Step-by-step explanation:
Since the transformation you're talking about doesn't preserve the size of the triangle it would be dilation.
Write an equation of the line that passes
through (6, — 2) and is parallel to the line
y= 3x – 3.
Answer: y = 3x - 20
Step-by-step explanation: Start with the equation y=mx+b. Remember that the slope of the parallel line, m, will be the same. Now you have y = 3x + b. Next you have to find b, the y intercept. You can do so by using the point given, (6,-2).
-2 = (3) * (6) + b
b = -20
y=mx+b y = 3x - 20
The angles in a triangle are in the ratio 5 : 3 : 1.
a) What type of triangle is it?
b) Calculate the biggest angle of this triangle.
Answer:
Step-by-step explanation:
It is an obtuse triangle because one angle (5) takes up more than the sum of the other two (3+1=4).
The angles are:
5+3+1 = 9
Each angles is
5/9 * 180 = 100°
3/9 * 180 = 60°
1/9 * 180 = 20°
Total = 100+60+20 = 180 degrees.
PLEASE HELP! The image is below
9514 1404 393
Answer:
(3)(1)0x -1y = -9Step-by-step explanation:
The general approach here is to choose a variable you want to eliminate, identify the coefficients of it, and use those to multiply the equations so adding the products will eliminate the variable.
Here, the coefficients of x are -1 and -3; the coefficients of y are 2 and 5. We often like to choose the set of coefficients that includes 1 or where the coefficients are related by an integer factor. These criteria suggest that we should use the coefficients -1 and -3. One of our multipliers must be the opposite of one of these coefficients. So, we choose for them to be -3 and +1.
That is, multiplying the first equation by -3 will make the x-coefficient be 3; multiplying the second equation by 1 will make the x-coefficient be -3. Adding these equations will then eliminate x terms.
(-3)(-x +2y = 12)
+ (1)(-3x +5y =27)
gives (3x -6y) +(-3x +5y) = -36 +27
which simplifies to the sum ...
0x -1y = -9
__
Dividing by the coefficient of y, we find y = 9. Substituting into the first equation, we have ...
-x +2(9) = 12)
x = 18-12 = 6
The solution is (x, y) = (6, 9).
-3x + 8 - 2 = 2x - 3 + 4
Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?
x minus y equals 44
44 plus y equals x
y minus x equals 44
Answer: Your answer would be the first one
Answer:
D. x=44-y
Step-by-step explanation:
Just took the Unit Test on Edge and got it correct.
I am trying to multiply polynomial expressions but I need help on this one..
Answer:
Step-by-step explanation:
(3x-2)(5x+4)
=3x(5x+4)-2(5x+4)
=3x*5x+3x*4-2*5x-4*8
=15x^2+12x-10x-32
=15x^2+2x-32
I need a very detailed in depth explanation of laws of Sine and Cosine. (With examples, Law rules etc.)
Answer:
A law stating that the square of a side of a plane triangle is equal to the sum of the squares of the other two sides minus twice the product of the other sides multiplied by the cosine of the angle between them.As we learned, sine is one of the main trigonometric functions and is defined as the ratio of the side of the angle opposite the angle divided by the hypotenuse. It's important for finding distances or height and can also be used to find angle measures, which are measured in radians.Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. ... If ABC is a triangle, then as per the statement of cosine law, we have: a2 = b2 + c2 – 2bc cos α, where a,b, and c are the sides of triangle and α is the angle between sides b and c.RULE OF LAW Defined
The rule of law is a principle of governance in which all persons, institutions and entities, public and private, including the State itself, are accountable to laws that are publicly promulgated, equally enforced and independently adjudicated, and which are consistent with international human rights norms and standards. It requires, as well, measures to ensure adherence to the principles of supremacy of law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness and procedural and legal transparency.A rule of law framework that includes the following:
Constitution or its equivalent, as the highest law of the land;A clear and consistent legal framework, and implementation thereof;Strong institutions of justice, governance, security and human rights that are well structured, financed, trained and equipped;Transitional justice processes and mechanisms; A public and civil society that contributes to strengthening the rule of law and holding public officials and institutions accountable.[tex]\color{yellow}{}[/tex]
1.25 x 0.75 = ?
I need this now please!
Answer:
0.9375
Step-by-step explanation:
I know!
Answer:
1.25 x .75 = 0.9375
Step-by-step explanation:
The functions fx) and g(x) are shown on the graph. (x) = x
What is g(x)?
A. g(x) = lx- 5l
B. g(x) = lx+5l
C. g(x) = lxl -5
D. g(x) = lxl +5
Answer:
A
as u can see that g(x) at x=5 is zero in option A. so the ans will will be |x-5|
Answer:
it's A
Step-by-step explanation:
just took the text
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
k= 2, k= -4
Step-by-step explanation:
you can use symbolab
List the first three terms of this sequence: an = 3 • 5n – 1
Answer:
1st term = 14
2nd term = 29
3rd term = 44
Step-by-step explanation:
1st term = 3 x (5x 1) - 1
= 3 x 5 - 1
= 15 - 1 = 14
2nd term = 3 x ( 5 x 2 ) - 1
= 3 x 10 - 1
=30 - 1 = 29
3rd term = 3 x (5 x 3 ) - 1
= 3 x 15 - 1
= 45 - 1 = 44