To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)
Answer:
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085
Step-by-step explanation:
The given parameters are;
The coordinates of parallelogram RSTU are;
R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
The lengths of the sides are (using an online length calculator);
RS = 4.1231
RT = 10
ST = 9.2195
SU = 10.198
TU = 4.1231
UR = 9.2195
Therefore, by definition of a parallelogram, we have;
RS║TU and ST║UR
The slope of RS = (1 - (-3))/(-5 - (-4)) = -4
The slope of ST = (3 - 1)/(4 - (-5)) = 2/9
The equation of the line perpendicular to ST is therefore;
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
The point where the two lines meet is therefore;
-9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
The length of the side of the rectangle = 4.1245
The excess width of the rectangle = 0.1085
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.
Answer: It’s C on edge
Step-by-step explanation:
Please help!! Thank you!
Answer:
a= -2
b= 1
c= 4
d=0
Step-by-step explanation:
-5 times -2 is 10.
-5 times 1 is -5.
-5 times 4 is -20.
-5 times 0 is 0.
SOLVE FAST FOR BRAINILEST
Write an equation using the following steps then solve it
- use the number m
- mutliply it by 2
- add 1
- divide the answer by 3
- then add 2
The final answer should be equal to the number (m)
I need the equation and the equation solved please
I need help somebody help
Help plss!!!
A jewelry store paid $75 for a necklace at
wholesale cost. The store will sell the necklace
for $250. What is the percent markup on the
necklace?
A. 175% increase
B. 250% increase
C. 233% increase
D. 300% increase
Answer:
75 increased by 233% = 249.75 if you are rounding up this is the answer
Step-by-step explanation:
This is true because 249.75 is the closest the other guy who wrote the wrong answer is lying. (update) it just got deleted i told you
Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP shown below. Triangle M N P. Side P N is 26.7 centimeters, side M N is 18.3 centimeters, and side P M is 14.2 centimeters. Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees. Deepak found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long. Does he need to continue measuring sides and angles of triangle FGH and why? No, he knows that the triangles are congruent because there are corresponding sides and angles that are congruent. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP. Yes, he must verify that the other two side lengths and the other two angle measures are the same as those found in triangle MNP. Yes, he must only verify that the other two angle measures are the same as those found in triangle MNP.
Answer:
B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
Step-by-step explanation:
I took the test.
The correct option is B. No, he knows that the triangles are not congruent because those measurements are not equal to the corresponding parts of triangle MNP.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We are given that Deepak is measuring sides and angles of triangle FGH to determine whether it is congruent to triangle MNP,
In Triangle M N P.
Side P N = 26.7 centimeters,
M N is 18.3 centimeters,
P M is 14.2 centimeters.
Angle P is 40 degrees, angle N is 30 degrees, and angle M is 110 degrees.
He found that Angle G has a measure of 50° and Segment F H is 18.3 centimeters long.
Based on the definition, two triangles are congruent if the three sides are equal and the three angles are equal.
Hence, he need to know the other lengths of the sides of the triangle and the others angles to know if they are congruent or not.
Learn more about congruent triangles;
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A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 5, 16 greater-than negative 40, negative 8 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, 5, 8, negative 4. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to divide both sides of the inequality by. Identify the new, true inequality. A: B: C: D: The inequality symbol is only reversed when dividing by a number.
Answer:
A:
✔ –16 < –4
B:
✔ 40 > 8
C:
✔ –45 < 15
D:
✔ 35 > –20
Multiplying both sides of an inequality by a negative number
✔ reverses
the inequality symbol.
Step-by-step explanation:
Plss help!!Need this ASAP!!Daniel began filling an empty swimming pool
at 8:00 AM. After 5 hours, the pool contained
230 gallons of water. If the water input continues
at a constant rate, how many more hours are
needed to completely fill the 920-gallon pool?
Answer:
15 hours
Step-by-step explanation:
To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.
find the equation of the line shown
Answer:
y = 1/2x
Step-by-step explanation:
The equation of the straight line shown in the graph is y = 2x.
How to represent a straight line on a graph?To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.
From the given graph, the points the straight line is passing through can be found as (2, 1) and (4, 2).
The equation of the line for the given points can be written as follows,
(4 - 2)/(2 - 1) = (y - 2)/(x - 1)
=> y - 2 = 2(x - 1)
=> y = 2x - 2 + 2
=> y = 2x
Hence, the equation of the straight line shown in the graph is y = 2x.
To know more about straight line equation click on,
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19 points Solve for c. 5/4c+12=2
Answer:
C= -8
Step-by-step explanation:
I used a calculator
Answer:
c=-8
Step-by-step explanation:
[tex]\frac{5}{4}c[/tex] + 12 = 2
1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)
1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the right do it to the left )
1.25c = -10
1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )
c = -8
HOPE IT HELPED
∠A and \angle B∠B are vertical angles. If m\angle A=(5x-5)^{\circ}∠A=(5x−5)
∘
and m\angle B=(2x+19)^{\circ}∠B=(2x+19)
∘
, then find the value of x.
Answer:
x = 8
Step-by-step explanation:
Since the angles are vertical then they are congruent, thus
5x - 5 = 2x + 19 ( subtract 2x from both sides )
3x - 5 = 19 ( add 5 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
Answer:
8
Step-by-step explanation:
5x - 5 = 2x + 19
3x - 5 = 19
3x = 24
Find each commission.
9. 2% on $1,500 in sales
Please help
Answer:
$138
Step-by-step explanation:
22. Write the word sentence as an equation. The product of negative 2 and 5 plus a number d = 14.
Answer:
(-2+5)+d=14
Step-by-step explanation:
"Product" means add
helpp me plzz
A.
B.
C.
D.
Simplify the expression.
( I got 144, but i'm not sure)
Answer:
144 is correct
Step-by-step explanation:
13 - 1 is 12
12 times 12 = 144
144 divided by 2 is 72
72 times 2 is 144
Answer:
yes the answer is correct 144
Step-by-step explanation:
I hope this answer is correct please tell me
∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
Answer:
46 units i think... not sure tho
Step-by-step explanation:
Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
40 inches by 10 inches
10 inches by 2.5 inches
9 inches by 3 inches
7 inches by 1 inch
6.4 inches by 1.6 inches
Answer:
40 inches by 10 inches
&
6.4 inches by 1.6 inches
Step-by-step explanation:
40 inch divided by 5 in is 8 inch
10 inch divided by 5 in is 2 inch
6.4 inch x 1.25 inch is 8 inch
1.6 inch x 1.25 inch is 2 inch
cody's Bikes rents bikes for $18 plus $5 per hour. Mark paid $48 to rent a bike. For how many hours did he rent the bike.
Answer:
Cody rented the bike for 6 hours
Find the product of (2x + 3) and (x + 5)
Answer:
2x^2 + 13x + 15
Step-by-step explanation:
Which of the following represents a function
1
X
6
-51 8 1
1 1723 171
10.1) (3,2), (8,3), (2,2), (34)
Express 64^3/2 in simplest radical form
Answer:
16 im sure :)
Step-by-step explanation:
3. Volunteer drivers are needed to bring 80 students to the championship baseball
game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6
students. The equation 40 + 6v = 80 describes the relationship between the number
of cars, c, and number of vans, v, that can transport exactly 80 students.
Select all statements that are true about the situation.
A. If 12 cars go, then 2 vans are needed.
B. c = 14 and v= 4 are a pair of solutions to the equation.
C. If 6 cars go and 11 vans go, there will be extra space.
D. 10 cars and 8 vans isn't enough to transport all the students.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Answer:
Options (B), (C) and (E) are the correct options.
Step-by-step explanation:
Equation that represents relation between the number of cars c and the number of vans v to transport 80 students is,
4c + 6v = 80
Option A.
If c = 12,
4(12) + 6(v) = 80
48 + 6v = 80
6v = 32
[tex]v=\frac{16}{3}[/tex]
Which is not equal to 2.
Therefore, Option A is incorrect.
Option B
If c = 14,
4(14) + 6(v) = 80
56 + 6v = 80
6v = 24
v = 4
Therefore, c = 14 and v = 4 is a pair of solutions.
Option B is correct.
Option C.
If c = 6 and v = 11
4(6) + 6(11) = 24 + 66
= 90
This means with 6 cars and 11 vans 90 students can be transported. Therefore, there will be extra space.
Option C is correct.
Option D.
If c = 10 and v = 8
4(10) + 6(8) = 40 + 48
= 88
Therefore, 10 cars and 8 vans are enough to transport 80 students.
So option D is incorrect.
Option E.
If c = 20,
4(20) + 6(v) = 80
80 + 6v = 80
v = 0
Therefore, for 20 cars go no vans are needed.
Option E is correct.
Option F.
Constraints in this situation,
Minimum number of cars to be used = 20
c ≥ 20
Minimum number of vans to be used = [tex]\frac{80}{6}[/tex] ≈ 14
v ≥ 14
Therefore, Option (F) is incorrect.
Which of the following is the prime factored form of the lowest common denominator of 15/28-5/12?
Answer:
5/6
Step-by-step explanation:
15/28 - 5/12
LCM of 28 & 12 is 336
420 - 140
--------------
336
=280
--------
336
= 280/336
=5/6
3. Now combine any like terms. What is the simplified product?
Answer:
Step-by-step explanation:
(x + 1) (x + 2)
x2 + 2x + x + 2
x2 + 3x + 2
value of 2 when x =5
Answer:
2
Step-by-step explanation:
5x^2 + 29x+ 20
Trinomial
Answer:
Step-by-step explanation:
5x^2 + 29x+ 20 is a Trinomial. Trinomial has 3 terms.
Rewrite the expressions as a product of two factors.
Rewrite expressions as a product of two factors. Translation: Factor out the GCF
a. 72 + 8
b. 55 + 11
c. 36 + 72
d. 144 − 15 (careful!)
e. 3 + 3
a. 8(9+1)
b. 11(5+1)
c. 36(2+1)
d. 3(48-5)
e. 3(1+1)
Answer:
Step-by-step explanation:
8(9t+1)
11(5a+1
36(z+2)
144(15+9)
3 (3+1)
take out the letters but this is work i did in class plz mark brainlest
The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.
Answer: yes
Step-by-step explanation:
this month 3485.78/4 = 871.445 gallons per person
Drought month 7250.50/4 = 1812.625
difference 7250.50 - 3485.78 = 3764.72
Factor completely 36x2 + 6x - 6
Answer:
78x - 6 = 72x
Step-by-step explanation:
Greatest common factor of 36 and 6 is 6.
First pull 6 out of each term:
6(6x^2 +x -1)
Now factor the polynomial :
6(3x-1)(2x+1)
-2 (-6 - 7n) + 5n = 145
What is the answer
Answer:
n=7
Step-by-step explanation:
simplify it and u get
12+19n=145
19n=133
n=7