Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden.
sqrt6 m
6 m
13 m
20 m,
where would square root 67 be located on a number line
An angle measures 34° less than the measure of a supplementary angle. what is the measure of each angle?
Given that an angle is 34 degrees less than its supplementary angle and knowing that supplementary angles add up to 180 degrees, the two angles measure 73 degrees and 107 degrees respectively.
Explanation:To solve this problem, let's assume that the measure of the supplementary angle is x degrees. Since the angle in question is 34° less than the measure of the supplementary angle, we can set up the equation: x - 34 = the angle in question. Now, since supplementary angles add up to 180°, we can set up another equation: x + (x - 34) = 180. Solving this equation, we find that x = 107°. Therefore, the measure of the supplementary angle is 107° and the angle in question is 107° - 34° = 73°.
An angle measures 34° less than the measure of a supplementary angle. By definition, supplementary angles add up to 180°. Let's call the first angle x. Then the supplementary angle would be x + 34° because it's 34 degrees more than x. Since they are supplementary, the sum of these two angles should be 180 degrees:
x + (x + 34°) = 180°
2x + 34° = 180°
2x = 180° - 34°
2x = 146°
x = 146° / 2
x = 73°
Therefore, the measure of the first angle is 73°, and the measure of its supplementary angle is 107° (73° + 34°).
At a recent holiday party, 4/5 of the attendees were company employees and the rest were their guests. if 2/3 of the employees who attended were engineers, what was the number of non-engineer employees who attended? there were 225 total attendees at the party. there were 45 attendees who were guests of the employees.
These questions still confuse me greatly for some reason. I got the formula for it but I still don't know how to use it. Please, could someone explain it for me!
Write an equation for the nth term of the geometric sequence 896, -448, 224, ....
Find the eighth term of this sequence.
a bike sells for $140. The tax sale is 6%. How much will the bike cost?
Already have the answer just can't remember how to work it out please help.
What percent of 12.5 is 39
The percent 312% of 12.5 is 39
How to find the percentage from the total value?Suppose the value of a thing is expressed in percentage is "a'
Suppose the percent that thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus will first divide the whole part in 100 parts and then we multiply it by b so that we collect b items per 100 items.
We need to Write the percent of 12.5 is 39
X%
So, we can rewrite it as
X% x 12.5 = 39
x/100 (12.5) = 39
x = 39/0.125
x = 312
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Help please!!!!!!!
The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minutes. What is the probability that a conversation lasts longer than 3 minutes?,
Will give brainliest-This graph compares shoe sizes for a group of 80 two-year-old boys and a group of 60 three-year-old boys. About how many more two-year-old boys have a shoe size of 6 or less, compared to the three-year-old boys?
NEED HELP ASAP!
SHOW WORK FOR 1. b, c, d and e!!!
RANDOM ANSWERS WILL BE MODERATED!
PLEASE HELP ASAP!!!
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.
Answer:
1. None of these.
2. None of these (Supplementary angles ).
3. Corresponding angles.
4. Alternate exterior angles.
5. Corresponding angles.
Step-by-step explanation:
In figure 1, the two lines are not parallel to each other, therefore we can not establish any relation between both angles. The required option is none of these.
In figure 2, both angles 1 and 2 lie on a straight line, therefore both angles are supplementary angles and the required option is none of these.
In figure 3, both angles have same relative position, therefore both angles are corresponding angles.
In figure 4, both angles are on the exterior of and , but on opposite sides of the transversal line, therefore both angles are alternate exterior angle.
In figure 5, both angles have same relative position, therefore both angles are corresponding angles.
The quadrilateral WXYZ has vertices W(3,-5) X(1,-3) Y(-1,-5) and Z(1,-7)
Perform r(90 degrees, 0) (WXYZ) and state the coordinates of the vertices
After performing a 90 degree rotation about the origin on the points, the new coordinates for W, X, Y, and Z respectively are (5,3), (3,1), (5,-1), and (7,1).
Explanation:In this problem, the task is to rotate a quadrilateral 90 degrees about the origin (0,0). The rule for rotation of points in the plane about the origin by 90 degrees is (x, y) -> (-y, x).
The new coordinates are,
For W(3,-5), it will become W'(-(-5),3) which equals W'(5,3) after rotating 90 degrees. For X(1,-3), it will become X'(-(-3),1) which equals X'(3,1) after rotating 90 degrees. For Y(-1,-5), it will become Y'(-(-5),-1) which equals Y'(5,-1) after rotating 90 degrees. For Z(1,-7), it will become Z'(-(-7),1) which equals Z'(7,1) after rotating 90 degrees. Learn more about Rotation of Coordinates here:
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please answer ASAP!
I will give the brainest answer.
18 POINTS!!!
Answer:
the answer is c im pretty sure
At the apple pan 4 burgers and 3 fries cost 26.50. 5 burgers and 5 fries cost $36.25. what is the cost for each item?
The cost of a single burger is $4.75 and that of fries is $2.5.
What are expressions?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Given is that → 4 burgers and 3 fries cost $26.50 and 5 burgers and 5 fries cost $36.25.
Assume that the cost of each burger is $x and that of fries is $y. We can write the system of equations as -
4x + 3y = 26.5 ........ Eq[1]
5x + 5y = 36.25 ........... Eq[2]
We can write Eq[2] as -
5x + 5y = 36.25
x + y = 7.25
y = 7.25 - x
So, Eq[1] can be written as -
4x + 3(7.25 - x) = 26.5
4x - 3x + 21.75 = 26.5
x = 26.5 - 21.75
x = 4.75
and
y = 7.25 - x
y = 7.25 - 4.75
y = 2.50
Therefore, the cost of a single burger is $4.75 and that of fries is $2.5.
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Write each equation in standard form using integers.
1) y=1/2x-10
2) y-3=G7/9(x+4)
please help n show work
The equations are simplified in the standard form will be x - 2y - 20 = 0 and 7x - 9y + 63 = 0.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The standard form is Ax + By + C = 0
The equations are given below.
y = (1/2)x - 10
y - 3 = (7/9)(x + 4)
Convert the equation y = (1/2)x - 10 into a standard form. Then we have
y = (1/2)x - 10
y = (x - 20) / 2
2y = x - 20
x - 2y - 20 = 0
Convert the equation y - 3 = (7/9)(x + 4) into a standard form. Then we have
y - 3 = (7/9)(x + 4)
y - 3 = (7x + 36) / 9
9y - 27 = 7x + 36
7x - 9y + 63 = 0
The equations are simplified in the standard form will be x - 2y - 20 = 0 and 7x - 9y + 63 = 0.
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What is the center of the data in the dot plot? Number of Minutes to Finish the Quiz mc010-1.jpg
Answer:
2.5
Step-by-step explanation:
because is 5 and 5 doesn't have a middle number
What is the length of CC' ?
Answer:
The length of CC' is, [tex]\sqrt{29}[/tex]units
Step-by-step explanation:
Using distance(D) formula for any two points is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
As per the statement:
From the graph:
The coordinates of C and C' are:
C = (2, 2) and C' = (7, 4)
Apply the distance formula to find length CC', we have;
[tex]CC'= \sqrt{(7-2)^2+(4-2)^2}[/tex]
⇒[tex]CC'= \sqrt{(5)^2+(2)^2}[/tex]
⇒[tex]CC'= \sqrt{25+4}[/tex]
Simplify:
[tex]CC'= \sqrt{29}[/tex]
therefore, the length of CC' is, [tex]\sqrt{29}[/tex] units
what is this difference of the polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)
Answer:2x^3+2x
Step-by-step explanation:
Which of the following costs usually goes up when an owner's home value goes up?
Select the best answer from the choices provided.
A)the mortgage principal and interest payment
B)the local property tax
C)the mortgage interest rate
D)the cost of utilities such as heating and electricity
Answer:
B) The local property tax
Step-by-step explanation:
A) The mortgage principal and interest payment - This does not depend on the owner's home value. These depend on the loan amount borrowed from the bank. The monthly payments will be the same irrespective of the owner's home value being going up or down.
B) The local property tax - This is the right answer as the local taxes depend on the prices in the area or neighborhood. Like posh areas have high property taxes.
C) The mortgage interest rate - This is not right. This depends on the bank that how much interest rate it will give you depending on your credit history.
D) The cost of utilities such as heating and electricity - This is also not right as these costs are standard for a state. Everyone will have the same per unit rates for electricity.
Given: 60,807; 60,087; 60,708 and 60,078, the correct arrangement of these numbers from the least to the greatest value is ?
For the first 7 months of the year, the average precipitation is toledo, ohio, is 19.32 inches. if the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities: a randomly selected year will have precipitation greater than 18 inches for the first 7 months.
please help I will mark brainlist if correct
The x-intercept of the line x = 3.5 is
. The y-intercept of the line y = -6.5 is
.
Enter your answer as an ordered pair such as (1, 1) or (-2, 2).
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale for 15% off. Sales tax is 7%. Victoria says that she has enough money to buy the skateboard. Is she correct? Explain.
Jefferson Park sits on one square city block that measures 300ft on each side. Sidewalks join opposite corners. About how long is each diagonal sidewalk?
Please help ASAP!!! 36 points! (:
Answer:
A IS THE ANSWER
Step-by-step explanation:
A.birch Street is horizontal. A perpendicular street would have to be vertical. Elm Street is not vertical. Birch Street has 0 slope. Elm Street would have to have undefined slope to be perpendicular to Birch Street
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SOMEONE HELP ME ON THIS
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The football coach bought enough sports mix to make 60 L of a sports drink.
How many cups of the sports drink can the coach make?
(1 L ≈ 2.11 pt)
Question 3 options:
56.9 cups
63.3 cups
253.2 cups
267.1 cups,
how do you factorise 15x+10
When chords intersect in a circle, the vertical angles formed intercept congruent arcs.
always, sometimes, never?