Solve 2( 32x-5) -4 =11
Answer each question below.
14. In angle LMN, the exterior angle adjacent to angle L has a measure of 5x+12. If the measure of angle M= 3x-2 and the measure of angle N= 50. Find the measure of angle L.
Answer:
[tex]\huge\boxed{\sf L = 78\°}[/tex]
Step-by-step explanation:
Given that:Exterior angle of L = 5x + 12
M = 3x - 2
N = 50
Statement:Exterior angle is equal to the sum of non-adjacent interior angles.So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.
Here,
Exterior angle of L = M + N
5x + 12 = 3x - 2 + 50
5x + 12 = 3x + 48
Subtract 12 to both sides
5x = 3x + 48 - 12
5x - 3x = 36
2x = 36
Divide 2 to both sides
x = 18
So,
Measure of angle M:= 3x - 2
= 3 (18) - 2
= 54 - 2
= 52°
Now,
Measure of angle L:We know that,
Sum of all the interior angles of triangle is 180 degrees.L + M + N = 180°
L + 52 + 50 = 180
L + 102 = 180
Subtract 102 to both sides
L = 180 - 102
L = 78°
[tex]\rule[225]{225}{2}[/tex]
The top of a tree makes angles s and t with points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and point L is y meters from the base of the tree.
1. In terms of x and y, find the height of the tree. Include your calculations.
2. If m∠t = 40° and y = 8 meters, calculate the height of the tree, rounded to two decimal places.
1. In terms of x and y, the height of the tree is [tex]h = y \times tan \ t^\circ[/tex] and[tex]h = x \times tan \ s^\circ[/tex]
2. The height of the tree is 6.71 meters
Trigonometry
From the question, we are to determine the height of the tree in terms of x and y
Using SOH CAH TOA, we can write that
[tex]tan \ t^\circ =\frac{h}{y}[/tex]
∴ [tex]h = y \times tan \ t^\circ[/tex]
Also,
[tex]tan \ s^\circ =\frac{h}{x}[/tex]
∴ [tex]h = x \times tan \ s^\circ[/tex]
2. If m∠t = 40° and y = 8 meters,
Then, the height of the tree
h = 8 × tan40°
h = 6.71 meters
Hence, the height of the tree is 6.71 meters
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sidiki filled up the gas tank of his motorcycle which holds 13 gallon then he drove 507 miles how many miles per gallon does sidikis motorcycle get
Answer:
Assuming the gas tank was filled to the maximum of 13 gallons, the car motorcycle achieves 39 miles per gallon.
Step-by-step explanation:
507/13 = 39
helpppp! i need to find general form and standard form, pleaseee HELP MEEE!)!#*(_
The general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
How to determine the equations?From the graph, we have the following points
(x,y) = (5,6) and (-3,-7)
Start by calculating the slope:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{-7 - 6}{-3 - 5}[/tex]
Evaluate the differences
[tex]m = \frac{-13}{-8}[/tex]
Evaluate the quotient
[tex]m = \frac{13}{8}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = \frac{13}8(x - 5) + 6[/tex]
Multiply through by 8
8y = 13(x - 5) + 48
Open the bracket
8y = 13x - 65 + 48
Evaluate the like terms
8y = 13x - 17
Subtract 13x from both sides
-13x + 8y = -17
Multiply through by -1
13x - 8y = 17 ---- this represents the standard form
Subtract 17 from both sides
13x - 8y - 17 = 0 --- this represents the general form
Hence, the general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
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L 1.9.3 Test (CST): Foundations of Geometry
Question 19 of 25
Which of the diagrams below represents the statement "If it is a tree, then it
has leaves"?
has leaves
tree
Figure A
O A. Figure A
OB. Figure B
tree
has leaves
Figure B
Figure A is a diagram which represents the statement "If it is a tree, then it has leaves."
How to analyze and interpret the diagram?In figure A, we can observe that the subset representing "trees" lie inside another subset which represents "has leaves." Thus, we can logically deduce that the statement "All trees have leaves" and "if it is a tree, it has leaves" is represented by figure A.
On the other hand, we can observe that the subset representing "has leaves" lie inside another subset which represents "trees," which contradicts the given statement "If it is a tree, then it has leaves."
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The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?
a.x⁷+5x⁶-30x³9x+45
b.x-5
c.x+5
d x⁷+5x⁶+6x⁴+30x³+9x+45
Answer:
x+5 (under assumption you meant to do -3x
Step-by-step explanation:
you can use long division.
Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore
[tex]x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5[/tex]
HELP ME PLEASE!!!!! FIND Y!
Answer:
y = 139
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
110° is an exterior angle of the triangle , then
3x + 2x - 5 = 110
5x - 5 = 110 ( add 5 to both sides )
5x = 115 ( divide both sides by 5 )
x = 23
then
2x - 5 = 2(23) - 5 = 46 - 5 = 41
y and 2x - 5 are a linear pair and sum to 180° , so
y = 180 - 41 = 139
Answer:
I got 139
Someone correct me if I'm wrong.
Step-by-step explanation:
(2x-5) + 3x + 70 = 180
Collect liketerms. Take away 70 from both sides and add 5.
5x=115
x=23
2(23) -5 = 41
180-41 = 139
y = 139
Is the following relation a function?
Answer: Yes.
Step-by-step explanation: No number in the map is paired to two different, distinct numbers.
8. Scott drank 3.5 bottles of water yesterday. Each bottle contained 1.2 pints of water. What was the number of pints of water Scott drank yesterday? Ascend Learning 8. Scott drank 3.5 bottles of water yesterday . Each bottle contained 1.2 pints of water . What was the number of pints of water Scott drank yesterday ? Ascend Learning
Answer:
4.2 pints
Step-by-step explanation:
3.5 × 1.2 = 4.2
Answer: 4.2 pints
answer help me me me me
Answer:
409
Step-by-step explanation:
296 = 200 + 90 + 6
The value of the 9 is 90 in 296.
1/10 of 90 is 9. The only number that has a 9 in the units digit is 409.
what choices are solutions to equation below x^-7x=-24/4
check all that apply
a. x=2
b. x=6
c. x=1
d. x=12
y = −x + 4
y = 3x + 3
find the domain of the function of the graph.
Answer:
[-3, 5)
Step-by-step explanation:
At x = -3, the circle is filled in, so -3 is part of the domain. At x = 5, the circle is not filled in, so 5 is not part of the domain. So the domain is [-3, 5).
Translate the following verbal statement into an algebraic equation and then solve:
Use x for your variable.
The difference of four times a number and seven is ten times the number.
If the statement is "The difference of four times a number and seven is ten times the number." then an algebraic equation is 4x-7= 10+x and the solution is -7/6.
Given the statement "The difference of four times a number and seven is ten times the number." We have to translate the statement in an algebraic equation and then solve it.
Let, the number be x.
This difference of four times a number and seven is 4x-7 and ten times the number is 10x
According to the question, the equation is,4x-7= 10x
4x-7=10x
6x=-7
x=-7/6
x=-7/6
Hence the value of the x is -7/6.
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which shows the correct substitution of the values a, b, and c Dr the equation 0=-3x^2-2x+6 into the quadratic formula? Quadratic formula: x= -b±√b^2-4ac/2a
Answer: Option 1
Step-by-step explanation:
Here, a = -3, b = -2, c = 6.
N
32
NEXT QUESTION
C
Patty had four times as many quarters as nickels. She had $12.60 in all. How many nickels and how many quarters did
she have?
G
Which of the following equations could be used to solve the problem?
Answer:
See below
Step-by-step explanation:
q = quarters value = .25 q
n = nickels = 4q value = .05 (4q)
summed = 12.60
.25q + .05(4q) = 12.60 <====== can be used to solve the problem
.45q = 12.60
q = 28 quarters then nickels = 4q = 112
You buy 2 shirts and 1 pair of pants for $34. Your friend buys 3 shirts and 3 pairs of pants for $69. What is the price of 1 shirt and 1 pair of pants
You buy 3 shirts and 1 pair of pants for $32. Your friend buys 2 shirts and 3 pairs of pants for $40. How much did each item cost?
First let’s define a shirt as X and pants as Y!
In the first scenario, the equation will be 3X + Y =$32
In the second scenario, the equation will be 2X + 3Y = $40
Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!
3X + Y= $32—> subtract 3X on both sides of the equation
-3X. - 3X
Net result: Y= 32- 3X
Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable
2X + 3(32-3X) = $40
2X + 96 - 9X = $40 —> simplify the equation
-7X + 96 = $40 —> substrate 96 from both sides
-7X = -56 —> divide both sides by -7
X= 8
Now reinsert 8= X into 3X + Y = $32
3(8) + Y = $32
24+ Y = $32 —> substract 24 from both sides
y = 8
ANSWER: X= 8, Y= 8
which value of a and b make the equation true?
(2xy)4
An equation is formed of two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The complete option is:
Which values of a and b make the equation true?
[tex]\dfrac{(2xy)^4}{4xy}=4x^ay^b[/tex]
A)a = 0, b = 0
B)a = 3, b = 3
C)a = 4, b = 4
D)a = 5, b = 5
The given equation can be simplified as shown below,
[tex]\dfrac{(2xy)^4}{4xy}=4x^ay^b\\\\\dfrac{2^4 \times x^4 \times y^4}{4xy}=4x^ay^b\\\\\dfrac{16x^4y^4}{4xy} = 4x^ay^b\\\\4x^{(4-1)}y^{(4-1)} = 4x^ay^b\\\\4x^3y^3 = 4x^ay^b[/tex]
Now, comparing the two sides of the equation, the value of a and b should 3 for the equation to be satisfied.
Hence, the correct option is B.
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Question 11 of 17
What are the coordinates of the point that is of the way from A to B?
Step-by-step explanation:
b l think so
О A. 24
B. 12
О с. 92
D. 46
A
12
46°
46°
C
Answer:
I think A or C.
Step-by-step explanation:
The basic equation for calculating compound interest is A = P(1 + nt.
If $1,200 is invested at an interest rate of 8% per year, compounded quarterly, how much will the
investment be worth at the end of 10 years?
Show your work!
The amount of the investment at the end of the 10 years period if compounded quarterly is $2,649.6.
Compound interestPrincipal, P = $1200Interest rate, r = 8% = 0.08Time, t = 10Number of period, n = 4A = P(1 + r/n)^nt
= 1200(1 + 0.08/4)^(4×10)
= 1200(1 + 0.02)^40
= 1200(1.02)^40
= 1200(2.208)
= $2,649.6
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its math help me out?
Answer:
D IS THE BEST IS WHAT MY TEACHER TOLD ME
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
To determine the correct table of input/outputs, take each input, substitute it into the function for "x", evaluate, and see if it equals the output. If it works for ALL of the pairs, then it is the correct table. Since functions only have one output for any input, there can't be two correct answers.
[tex]f(x)=\frac{3}{x}+4[/tex]
Check x = -3
[tex]f(-3)=\frac{3}{(-3)}+4\\=-1+4\\=3\\f(-3)\overset{\checkmark}{=}3[/tex]
Check x = -2
[tex]f(-2)=\frac{3}{(-2)}+4\\=-1.5+4\\=2.5\\f(-2)\overset{\checkmark}{=}2.5[/tex]
Check x = 1
[tex]f(1)=\frac{3}{(1)}+4\\=3+4\\=7\\f(1)\overset{\checkmark}{=}7[/tex]
Check x = 2
[tex]f(2)=\frac{3}{(2)}+4\\=1.5+4\\=5.5\\f(2)\overset{\checkmark}{=}5.5[/tex]
Check x = 3
[tex]f(3)=\frac{3}{(3)}+4\\=1+4\\=5\\f(3)\overset{\checkmark}{=}5[/tex]
Harry placed blue and green marbles in a bag. Three-quarters
of the marbles are blue. Which of the following could be the
number of blue marbles in the bag?
It would be 5 because three quarters of 20 would be 15, and 5 would be the remainder.
Step-by-step explanation:
Sorry if its wrong I cant see the answer choices
What type of triangle is this triangle?
acute scalene
right isosceles
right scalene
acute isosceles
A triangle with two acute angles and one angle that has a small square. Two sides each have one tick mark.
Help I need this today before 12:50pm
1.
Answer:
<B ≅ <F
<C ≅ <G
<D ≅ <H
<A ≅ <E
Explanation:
Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.
You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).
2.
Answer: x = 8 and y = 19
Explanation:
Triangle MLN ≅Triangle SRT
Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.
<M ≅ <S
<S= 93 (Given)
<M=93
<N=63 (Given)
Line segment ML ≅ Line segment SR
Line segment ML = 43
Line segment SR = 3x + y
Now, we need to find the values of x and y.
43 = 3x + y
<M+<N+<L=180 (Interior angles measure of a triangle is always 180)
93+63+z=180
156+z=180
z= 24
24 is the measure of <R.
<R=3x
24=3x
x=8
Now if we plug in the 8, the value of x, into our equation above,
43=3x+y
43=3(8)+y
43=24+y
43-24=y
19=y
3.
Answer:
<K ≅ <M
<J ≅ <N
<Q ≅ <P
<L≅ <L
Explanation:
Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.
4.
Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.
Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.
Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of point B.
(−0.5, 1)
(4, −2)
(−5, 4)
(−1, 1)
Answer:
B. (4, -2)
Step-by-step explanation:
Please see attachment.
Hope this helps!
If not, I am sorry.
33
65
56
Is this tangent?
Answer:
Yes it is what is the question you are answering and it's 90 degree
Answer:
yes line is a tangent to the circle
Step-by-step explanation:
the angle between a tangent and the radius of a circle is 90°
If the triangle is right then the line touching the circle is a tangent.
using the converse of Pythagoras' identity
if the square on the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right
longest side = 65 and 65² = 4225
56² + 33² = 3136 + 1089 = 4225
then the triangle is right and the line touching the circle is a tangent
Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.
The equation will be given as y = 6x for the given information in the question.
The complete question is as below:-
Mr Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Here we are given that the weight of each book is 6 ounces. If there are x number of books, the weight of x books will be 6 times x.
And if y represents the total weight, we can form an equation describing the relation between a number of books and their net weight. The equation can be
y = 6x
Hence all the ordered pairs satisfying the above equation will represent the number of books and the total weight.
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graph y = − 3/2 x − 3
Answer:
Step-by-step explanation:
THIS WILL BE A STRAIGHT LINE rising to the left as the coefficient of x is negative ( -3/2),
When x = 0 y = -3 so mark the point (0, -3) on your graph paper.
When x = 6, y = -3/2 * 6 - 3 = -9 - 3 = -12
So mark the point (6, -12)
The graph will be the straight line passing through the above 2 points.
