Answers
Answer:
[tex]\angle A = 40^o[/tex]
Step-by-step explanation:
Notice that angle A is identified with the algebraic expression "7 + 3 x", while the other acute angle is identified with the expression "5 x - 5"
We know that the third angle is a right angle (90 degrees),
and also that the sum of the internal angles in a triangle must give 180 degrees, so we have:
[tex]\angle A + \angle B+ 90^o = 180^o\\(7+3\,x)+(5\,x-5)=180^o-90^o\\7+3\,x+5\,x-5=90^o\\8\,x+2 = 90^o\\8\,x=88^o\\x=11^o[/tex]
Now that we know x, we can give the answer for what angle A is:
[tex]\angle A= 7^o+3\,x\\\angle A =7^o+3\,(11^o)\\\angle A = 7^o+33^o\\\angle A = 40^o[/tex]
Related Questions
Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36
Answers
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5x-4+3x=36[/tex]
Combine like terms:
[tex]8x-4=36[/tex]
Add 4 to both sides. The left side cancels:
[tex](8x-4)+4=(36)+4\\8x=40[/tex]
Divide both sides by 8:
[tex](8x)/8=(40)/8\\x=5[/tex]
Thus, the value of x is 5.
Answer:
The value of x=5
Step-by-step explanation:
1) 5x-4+3x=36
2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40
3) (Combine like terms, 5x and 3x) 8x=40
4) (Solve: divide each side by 8) x=40
5) answer: 5
I hope this helps let me know if I am wrong and good luck
cosθ=0.5 (to nearest degree)
Answers
Step-by-step explanation:
Hey, there!!
Given,
cos theta = 0.5
To convert it into angle, you have to take cos to right side making it (cos inverse).
Therefore, theta = cos inverse (0.5)
= 60°.
Hope it helps......
Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064
Answers
Answer:
Step-by-step explanation:
(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064
the answer is D
What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?
Answers
Answer:
[tex]832 \sqrt{13} [/tex]
Step-by-step explanation:
This question means
[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]
Lets solve it in simplest way
[tex](4 \sqrt{13} {)}^{3} [/tex]
[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]
[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]
[tex]64 \times 13 \times \sqrt{13} [/tex]
[tex]832 \sqrt{13} [/tex]
I hope u like it ❤️
cooment me for any question
у=x+5 3x+y=25 substitution
Answers
Answer:
(5,10)
Step-by-step explanation:
So we have the system of equations:
[tex]y=x+5\\3x+y=25[/tex]
To solve, we can use substitution.
Substitute the first equation into the second:
[tex]3x+y=25\\3x+(x+5)=25[/tex]
Combine like terms:
[tex]4x+5=25[/tex]
Subtract 5:
[tex]4x=20[/tex]
Divide by 4:
[tex]x=5[/tex]
Now, substitute this into the first equation:
[tex]y=x+5\\y=5+5[/tex]
Add:
[tex]y=10[/tex]
So, our answer is (5,10)
And we are done :)
The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?
Answers
Answer:
The dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2(L + W)
= 2L + 2W
The perimeter = 46 mm
L = 3x + 3
W = x - 4
P = 2L + 2W
46mm = 2(3x + 3) + 2(x - 4)
46 = 6x + 6 + 2x - 8
Collect like terms
46 +8 -6 = 6x + 2x
48 = 8x
x = 48/8
x = 6
Since the Length = 3x + 3
= 3(6) + 3
= 18 + 3
= 21mm
Since the Width = x - 4
= 6 - 4
= 2mm
Therefore, the dimension of this rectangle = 2mm by 21mm
Where 2 mm = Width of the rectangle
21 mm = Length of the rectangle.
A Blue Viper can travel 18 2/5 miles on 4/5
tank of gas. A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas. Which car can travel
further on one tank of gas?
Answers
Answer:
A Blue Viper
Step-by-step explanation:
A Blue Viper can travel 18 2/5 miles on 4/5 tank of gas.
It can travel on full tank:
(18 2/5)*1/5 + 18 2/5 = 92/5*1/5 + 92/5 = 92/5*6/5 = 552/25 = 22.08 milesA Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.
It can travel on full tank:
(17 2/5)*1/4 + 17 2/5 = 87/5*1/4 + 87/5 = 87/5*5/4 = 87/4 = 21.75 milesA Blue Viper can travel further as:
22.08 > 21.75Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28
Answers
Answer:
12x -28
Step-by-step explanation:
4(5x - 6) - 4(2x + 1)
Distribute
20x -24 -8x -4
Combine like terms
12x -28
can anyone help me out with this? If possible, please do all of them
Answers
Answer:
this is all I could find
if x=2y+1 what is th e value of 10y-5x
Answers
[tex]x=2y+1[/tex]
what is [tex]10y-5x[/tex]?
all you gotta do is substitute the value of [tex]x[/tex] in the equation:
[tex]x=2y+1\\10y-5(2y+1)[/tex]
now solve for [tex]y[/tex]:
[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]
so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]
Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point
Answers
Answer:
its D
Step-by-step explanation:
just took the quiz
The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.
We need to identify the undefined geometric term from the options.
There are three undefined terms in geometry :
1) point 2) line 3) plane
What is the point?A point has zero dimension and it is used to locate a figure on a coordinate plane.
The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and y= ordinate.
A line is the one-dimensional straight indefinite path on the plane that has no width.
A plane is a two-dimensional flat surface that extends up to infinity.
Therefore, option D is the correct answer.
To learn more about an undefined geometric term visit:
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Which number has a 2 with a value ten times less than the 2 in the number 725,983?
Answers
Answer:
"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"
First, the value of the 2 in the number 725,983 can be find by separatig each digit as:
725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.
Then the value of the 2 is: 20,000.
Now we want a number that has a 2 with a value then times less than 20,000.
this is:
20,000/10 = 2,000.
Then we want a number that has a 2 in the thousands place.
For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)
Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.
It is a rational number.
It is a whole number.
It is a natural number.
Answers
Answer:
It is a rational integer.
Step-by-step explanation:
'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].
It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.
Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.
'-3' is a rational number and an integer.
Hope this helps.
2z-1= -9+ z i need the answer RIGHT NOW
Answers
Answer:
z = -8
Step-by-step explanation:
I'm guessing you want to find out what z is equal to, so here you go.
2z - 1 = -9 + z
2z = -8 + z
z = -8
Answer:
z = -8
Step-by-step explanation:
let's simplify the equation by getting the like terms together.
2z-1 = -9+z
first get the z's on the same side:
2z-z-1 = -9
z-1 = 9
then the constants:
z = -9+1
z = -8
Identify the property shown by the equation.
14 × 6 = 6 × 14
Answers
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answers
Answer:
4 years
Step-by-step explanation:
As 4*8 is 32
So 144+32 is 176
And 5*4=20
108-20 is 88
88*2 is 176
List at least three shapes, other than pentagons, in the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of times that the shape will map back on to itself as the shape rotates 360° about its center. Also, note how many degrees the shape has rotated each time it maps back onto itself.
Answers
Answer:
See below
Step-by-step explanation:
See attached table
Regular polygon with n sides can map onto itself n times
It will rotate 360°/n about its center every time and will map onto itself
Examples are in the attached table
Answer:
PLATO
Step-by-step explanation:
What is the square of 9?
Answers
Answer:
3
Step-by-step explanation:
sqrt9 = 3
Evalute this expression: -4y + 7y - 10 + 3
Answers
Answer:
3y-7
Step-by-step explanation:
-4y + 7y - 10 + 3
Combine like terms
-4y + 7y - 10 + 3
3y -7
In general, the value measured by the horizontal axis is called the ________
variable.
Answers
Answer:
independent
Step-by-step explanation:
We put the independent variable on the x axis ( or horizontal) and the dependent variable on the y axis ( or vertical)
Answer:
independent
Step-by-step explanation:
A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?
Answers
Answer:
1000 tennis balls will produce the minimum cost
Step-by-step explanation:
Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]
Where C(x) is the total cost in dollars
x is the number of tennis balls produced
We are supposed to find number of tennis balls will produce the minimum
cost.
Lead coefficient = 0.01
The lead coefficient is positive, the parabola opens up.
Thus ,the minimum is at the vertex.
[tex]x=\frac{-b}{2a}[/tex]
So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]
Substitute the value of x in given equation:
C(x)=200-10(1000)+0.01(1000)^2
C(x)=200
Hence 1000 tennis balls will produce the minimum cost
PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}
Answers
A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}
B. {(-3,1), (4,2), (3,-1), (2,-4)}
C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}
D. {(3,-2), (-3,2), (5,-2), (-1,-1)}
Function is something like domain mustn't have the same value in a single set. For example,
{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)
{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.
For the A, It's not function because of (2,1) and (2,3)
For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)
For the C, Not function because of (4,2) and (4,-1)
For the D, it's function.
Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9
Answers
PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS
Answers
Q1
Answer:
[tex]x \leqslant \frac{5}{3} [/tex]
Step-by-step explanation:
[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]
explanation for second step:
you divide each side by 3 to get rid of the '3' in '3x'
Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35
Answers
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% [tex]\cdot35[/tex].
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.05
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.
Hope this helped!
Answer:
The answer is option D and BStep-by-step explanation:
To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number
So we have
5 percent of 35 is written as
[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]
We have the answer as
1.75
From the options the one that has the same value as the above answer are
0.05 × 35 and 5/100 × 35
Hope this helps you
please help me, i will give 20 pts and choose brainlest too!
Answers
Answer:
ABC = 36 , DBC = 44
Step-by-step explanation:
(7x+2) + (7x -6) = 8=
14x -4 = 80
14x = 84
x = 6
-72 + 12 x 4 / (-6) solve it
Answers
Answer:
The answer is -80.
Step-by-step explanation:
First, you need to multiply 12x4.
-72+12x4/(-6)
-72+48/(-6)
Now, we divide 48/-6. (Using P.E.M.D.A.S)
-72+48/-6
-72+-8
Finally, we add the negatives.
This gives us... -80 as your answer.
find the slope of a line perpendicular to y= -6x+4
Answers
Answer:
-6Step-by-step explanation:
y= -6x+4 is in y=mx +b
[tex]y= -6x+4 \\Slope =m = -6[/tex]
I really need some help! I'm really bad with mathematics/geometry! Given paralleogram ABCD≅parallelogram EFGH, which congruency statement is true? A. ∠B≅∠E B. BC≅GH C. ∠C≅∠G D. AD≅EF
Answers
Answer:
C
Step-by-step explanation:
The congruency statement ∠ C ≅ ∠ G is the only true statement.
So option C is the correct option.
Given,
parallelogram ABCD ≅ parallelogram EFGH
We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.
The given options are:
A. ∠B≅∠E
B. BC≅GH
C. ∠C≅∠G
D. AD≅EF.
What are parallelograms and their properties?It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.
Properties of a parallelogram :
- The opposite sides are parallel and congruent.
- The opposite angles are equal.
- The consecutive angles are supplementary.
- If any one of the angles is a right angle, then all the other angles will be at
a right angle.
- The two diagonals bisect each other.
So if we compare two parallelograms the above properties are congruent.
Let's draw the two parallelograms ABCD and parallelogram EFGH.
A____________ B E____________F
\ \ \ \
\ \ \ \
\ \ \ \
D_____________C. H____________G
The following are congruent:
AB≅EF
BC≅FG
CD≅GH
AD≅EH
∠ A ≅ ∠ E
∠ B ≅ ∠ F
∠ C ≅ ∠ G
∠ D ≅ ∠ H
Checking the above congruent we see that we have ∠ C ≅ ∠ G in the given option.
Thus, ∠ C ≅ ∠ G is the only correct option.
Learn more about parallelogram here:
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Can someone please help me with 1-9 Sorry 25 points is all I have
Answers
Answer:
see below
Step-by-step explanation:
5.
VW = 4x - 20
UW = 6X - 35
UV = 19
find x to get UW
UV + VW = UW
19 + 4x - 20 = 6x - 35
x = 17
VW = 4(17) - 20
VW = 48
UW = 6(17) - 35
UW = 67
----------------------------------------------------
6.
HJ = 7x - 27
HI = 3x - 5
IJ = x - 1
find the value of x
HI + IJ = HJ
3x - 5 + x - 1 = 7x - 27
x = 7
----------------------------------------------------
7.
BC = 4x - 29
CD = 5x - 9
BD = 7x - 10
find each value
BC + CD = BD
4x - 29 + 5x - 9 = 7x - 10
x = 14
BC = 4(14) - 29
BC = 27
CD = 5(14) - 9
CD = 61
BD = 7(14) - 10
BD = 88
----------------------------------------------------
8.
BD = BC
BD = 5x - 26
BC = 2x + 1
AC = 43
find AB
BD = BC
5x - 26 = 2x + 1
x = 9
AB + BC = AC
AB + 2(9) + 1 = 43
AB = 24
----------------------------------------------------
9.
LK = MK
LK = 7x - 10
KN = x + 3
MN = 9x - 11
KJ = 28
find LJ
MK + KN = MN
7x - 10 + x + 3 = 9x - 11
x = 4
KJ + LK = LJ
28 + 7(4) - 10 = LJ
LJ = 46