The converse of a theorem is created by reversing the hypothesis and the conclusion of the theorem's statement. The correct multiple-choice answer is 'D. A statement formed by transposing what is to be proved by a theorem and what is given.'
The converse of a theorem is a logical statement where the elements of the theorem's statement are switched. If you have a theorem that states "If A, then B," the converse of that theorem would be "If B, then A." This essentially transposes the hypothesis and the conclusion. In the context of the multiple-choice options provided, the correct answer is D.
A statement formed by transposing what is to be proved by a theorem and what is given. It's important to note that even though a theorem is proven true, its converse is not necessarily true and must be proven separately if it is to be accepted as true.
Solve the system of equations :
2x -5y=-22
X+7y=27
Answer:
x=−1 y=4
Step-by-step explanation:
Let's solve your system by substitution.
2x−5y=−22; x+7y=27
Rewrite equations:
x+7y=27;2x−5y=−22
Step: Solve x+7y=27for x:
x+7y=27
x+7y+−7y=27+−7y(Add -7y to both sides)
x=−7y+27
Step: Substitute−7y+27 for x in 2x−5y=−22:
2x−5y=−22
2(−7y+27)−5y=−22
−19y+54=−22(Simplify both sides of the equation)
−19y+54+−54=−22+−54(Add -54 to both sides)
−19y=−76
−19y
−19
=
−76
−19
(Divide both sides by -19)
y=4
Step: Substitute 4 for y in x=−7y+27:
x=−7y+27
x=(−7)(4)+27
x=−1(Simplify both sides of the equation)
Of the 15 children at the park, 12 children are riding bicycles and 3 children are riding
scooters. Which ratio is correct? Circle all that apply.
A The ratio of bicycles to scooters is 12 to 3.
B The ratio of scooters to children is 3 to 15.
С The ratio of bicycles to children is 12 to 15.
D The ratio of scooters to children is 9 to 12.
E The ratio of bicycles to children is 12 to 3.
Answer:
A,B,C
Step-by-step explanation:
if it is wrong correct me
The correct options are Option A , Option B and Option C.
It is given that of total 15 children at the park, 12 children are riding bicycles and 3 children are riding scooters.
We have to find out that which ratio is correct from the given options.
What will the value of ratio ; 2 : 4 ?
The value will be 1 : 2.
Total number of children at the park = 15
Number of children riding bicycles = 12
Number of children riding scooters = 3
The ratio of bicycles to scooters will be ;
12 : 3
The ratio of scooters to total number of children will be ;
3 : 15
The ratio of bicycles to total number of children will be ;
12 : 15
Thus , the correct options are Option A , Option B and Option C.
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A pizza has a circumference of 37.68 inches. What is the area of the pizza?
Answer:
118.31
Step-by-step explanation:
because the circumference is 3.14 and you have to do 37. 68 x 3.14 and you get your answer
Factor the polynomial by it’s greatest common monomial factor.
9b^8 + 24b^3
Answer:
9b^8 + 24b^3 = (3b^3) [ 3b^5 + (8)]
greatest common monomial is 3*[tex]b^{3}[/tex]
Step-by-step explanation:
we see 9b^8 + 24b^3
there is a common factor here.
3b^3 so
9b^8 + 24b^3 = (3b^3) * 3b^5 + (3b^3) *(8)
9b^8 + 24b^3 = (3b^3) [ 3b^5 + (8)]
so...
Question 5 (5 points)
To the nearest hundredth, what is the value of m?
15
08.66
12.99
2.31
7.50
Answer:
m = 12.99
Step-by-step explanation:
cos30° = m/15
√3/2 = m/15
2m = 15√3
m = 15√3/2
m = 15·1.73/2
m = 25.95/2
m = 12.99
Sana maka tulong plss rate and love
The height of a tree increases by 60% each year. When planted the tree was 40cm tall. How tall will the tree be in 5 years time.
Answer:
≈419.4 cm.
Step-by-step explanation:
To solve this problem, you will need to set up an exponential graph as shown:
y= 40 ·[tex](1.6)^{x}[/tex]
The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.
We can simply solve this by substituting 5 for x:
y= 40· [tex](1.6)^{5}[/tex]
y ≈ 419.4 cm.
Caren has 6 oranges to share. If she
gives one third of an orange to each
person, how many people can share
Caren's oranges?
Answer:
6/ 1/3
6 x 3/1
6 x 3 = 18
Hope this helps Your answer is 18
Step-by-step explanation:
Answer:
she can share with 18 people
GIVING BRAINLIEST BRAINLIEST!!!! Easy mathhh DO NUMBER 4
Answer:
I got 1/2
Step-by-step explanation:
The net of a cylinder is shown. The area of one base of the cylinder is 9Pi in.2. The circumference of a base is 6Pi in., and the height of the cylinder is 10 in. Which expression can you use to find the lateral area plus two bases of the cylinder? A--6Pi + 9Pi(10) in.2 B--9Pi + 6Pi(10) in.2 C--6Pi + 6Pi + 9Pi(10) in.2 D--9Pi + 9Pi + 6Pi(10) in.2
Answer:
The answer is D.
Step-by-step explanation:
The expression can be used to find the lateral area plus two bases of the cylinder is (D) 9[tex]\Pi[/tex] + 9[tex]\Pi[/tex] + 6[tex]\Pi[/tex](10) [tex]in^2[/tex] .
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
The sum of lateral area and the two bases of the cylinder
= lateral area + sum of the area of two bases.
The lateral area = 6[tex]\Pi[/tex](10) [tex]in^2[/tex].
So, The sum of the lateral area and the two bases of the cylinder
= 9[tex]\Pi[/tex] + 9[tex]\Pi[/tex] + 6[tex]\Pi[/tex](10) [tex]in^2[/tex].
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Solve the system. -3x + 4y = -22 2x + 7y = 5 A) (6, -1) B) (-1, 6) C) (-6, 1) D) (-1, -6)
Answer:
A
Step-by-step explanation:
We have the system of equations:
-3x + 4y = -22
2x + 7y = 5
Let's solve this using elimination, so multiply the first equation by 2 and the second equation by 3:
2 * (-3x + 4y = -22) ⇒ -6x + 8y = -44
3 * (2x + 7y = 5) ⇒ 6x + 21y = 15
Our equations are now:
-6x + 8y = -44
6x + 21y = 15
Add these two together to eliminate the x term:
-6x + 8y = -44
+ 6x + 21y = 15
______________
0x + 29y = -29
y = -29/29 = -1
Plug this back into one of the equations to find x:
-3x + 4y = -22
-3x + 4 * (-1) = -22
-3x - 4 = -22
-3x = -18
x = -18/(-3) = 6
The answer is (6, -1) or A.
Answer:
A. (6,-1)
Step-by-step explanation:
-3x + 4y = -22
2x + 7y = 5
x = (5 - 7y)/2
-3[(5 - 7y)/2] + 4y = -22
-15/2 + 21y/2 + 4y = -22
29y/2 = -29/2
y = -1
x = (5 - 7(-1))/2
x = 12/2
x = 6
How do you calculate probability?
Step-by-step explanation:
write it as a fraction.
Example:
What is the probability of drawing a diamond from a deck of cards?
The number on the bottom of the fraction is the total number of objects/possibilities.There are 4 suits in a deck of cards (spades, clubs, hearts, diamonds) so that is the number that goes on the bottom of the fraction (the denominator)?/4
diamonds is only 1 of the four suits so the number on the top of the fraction (the numerator) will be 11/4
you can express this in many ways such as a fraction or percentageI HOPE THIS WAS HELPFUL :-)
To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space.
Explanation:To calculate the probability of an event A when all outcomes in the sample space are equally likely, count the number of outcomes for event A and divide by the total number of outcomes in the sample space. This is known as the theoretical probability of A.
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Devaughn's age is three times Sydney's age. The sum of their ages is 76. What is Sydney's age?
Answer:
22
Step-by-step explanation:
Basically you can think of Devaughn as 3x and Sydney as 1x, which gives you 4x=88. 88/4= 22, so Sydney is 22
Irina wants to build a fence around a rectangular vegetable garden so that it has a width of at least 10 feet. She can use a maximum of 150 feet of fencing. The system of inequalities that models the possible lengths, l, and widths, w, of her garden is shown. w ≥ 10 2l + 2w ≤ 150 On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 10. Everything above the line is shaded. The second line has a negative slope and goes through (0, 75) and (75, 0). Everything to the left of the line is shaded. Which length and width are possible dimensions for the garden? l = 20 ft; w = 5 ft l = 20 ft; w = 10 ft l = 60 ft; w = 20 ft l = 55 ft; w = 30 ft
Answer:
In option a, w < 10
in option b, w = 10 and 2(20) + 2(10) = 40 + 20 = 60 < 150
in option c, w > 10 but 2(60) + 2(20) = 120 + 40 = 160 > 150
In option d, w > 10 but 2(55) + 2(30) = 110 + 60 = 170 > 150
Therefore the corect answer is option b.
Step-by-step explanation:
With a stratified random sample, a population is broken up into different
subgroups and then simple random samples are conducted within each of
these subgroups.
A. True
B. False
Answer:
True
Step-by-step explanation:
This is true. In a stratified random sample, the overall population is broken up into smaller groups by a certain factor that pertains to the survey they are conducting. They will then choose a simple random sample in each of these groups to determine who is going to be surveyed. Based on this, the definition is true.
PLZZZ HELP AND HURRY MARK BRAINLIST IF CORRECT
What is due to acids formed when atmospheric and volcanic gases mix with water
A chemical weathering
B mechanical weathering
C root- pry
D pedalfer
Plzz and thank youu
Answer:
Answer is D
Step-by-step explanation:
Due to the pedalfer by the formation of the acid at the time when atmospheric and volcanic gases mix with water.
What is a pedalfer?Pedalfer should be comprise of the aluminum and iron oxides. It should be considered as the subdivision of the order of zonal soil that contains the wide range of soils where sesquioxides increase with respect to the silica at the time of forming the soil. Also it should be arise when the area is humid.
Therefore, we can conclude that the option d is correct.
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MATH HELP PLEASE !50 POINTS!
Answer: 108
Step-by-step explanation: You take the x and the 2/3x and combine them to get 1 2/3x, so 1 2/3x=180. 180 divided by 5 is 36, and 36 times three is 108
Answer:
108
Step-by-step explanation:
Angles on a line add up to 180 degrees.
x + 2/3x = 180
5/3x = 180
x = 180 × 3/5
x = 108
Simplify the expression:Two-thirds divided by (negative 4) minus (one-sixth minus StartFraction 8 over 6 EndFraction)
1
StartFraction 29 over 24 EndFraction
StartFraction negative 24 over 17 EndFraction
StartFraction 23 over 24 EndFraction
we have been given an expression [tex]\frac{\frac{2}{3}}{-4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]. We are asked to simplify our given expression.
Using quotient rule [tex]\frac{\frac{a}{b}}{c}=\frac{a}{bc}[/tex], we will get:
[tex]\frac{2}{3\cdot -4}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]
[tex]\frac{2}{-12}-\left(\frac{1}{6}-\frac{8}{6}\right)[/tex]
Now, we will combine like terms:
[tex]\frac{2}{-12}-\left(\frac{1-8}{6}\right)[/tex]
[tex]\frac{2}{-12}-\left(\frac{-7}{6}\right)[/tex]
[tex]-\frac{2}{12}+\frac{7}{6}[/tex]
[tex]-\frac{1}{6}+\frac{7}{6}[/tex]
Let us combine like terms:
[tex]\frac{-1+7}{6}[/tex]
[tex]\frac{6}{6}=1[/tex]
Therefore, our expression simplifies to 1.
Answer:
1
Step-by-step explanation:
Brainliest please
Estimate a 15% tip on a dinner bill of $31.86 by first rounding the bill amount to the nearest ten dollars.
Estimated tip:
Becky and Cathy are sisters. Becky is four years older than Cathy. The following shows how Becky's age, y, changes as Cathy's age, x, changes.
Answer:
the answer would be B.
Step-by-step explanation:
Study island I did this one
Julio drives 2.5 hours at 45 miles per hour. Kilgore drives 4 hours at 35 miles per hour. Who drives farther? How much
farther?
Kilgore, 27.5 miles
Julio: 28.5 miles
Julio: 112.5 miles
Kilgore; 140 miles
Answer:
kilgore, 140 miles
Step-by-step explanation:
Kilgore drives farther than Julio with a difference of 27.5 miles. Julio drives 112.5 miles while Kilgore drives 140 miles.
To determine who drives farther, we need to calculate the distance driven by Julio and Kilgore.
Julio: Julio drives 2.5 hours at 45 miles per hour. Using the formula distance = speed × time, Julio's distance is 45 miles/hour × 2.5 hours = 112.5 miles.Kilgore: Kilgore drives 4 hours at 35 miles per hour. Applying the same formula, Kilgore's distance is 35 miles/hour × 4 hours = 140 miles.Kilgore drives farther. The difference in the distance is 140 miles - 112.5 miles = 27.5 miles.
Find the value of x
After decoding the clues on the map, they found out that they needed to go to the
Island of Mysteries which was 120 miles away. To get there, they could either
take a plane for $600 or a boat for $254. How much money can they save if they
took a boat to the island?
Answer:
$346.00
Step-by-step explanation:
We know that the price to take a plane to the Island of Mysteries is $600 and the price to take a boat is $254.
To find how much money they will save if they were to take a boat, you would subtract the cost of the boat ride from the plane ride to find the difference.
$600 - $254 = $346.00
Which statements about this system of equations are true? Check all that apply
.
2x - 7y=-13
- 2x + 11y = 1
The x-variable will be eliminated when adding the system of equations.
The y-variable will be eliminated when adding the system of equations.
The sum of the system of equations is 4y = -12.
Ox=17
y=-3
There are infinitely many solutions to the system of equations.
Answer:
the x-variable will be eliminated when the adding the system of equations. The sum of the system of equations is 4y = -12.
x= - 17
y= - 3
Step-by-step explanation:
You roll a six sided die. What is the
probability of rolling an even number
three times in a row?
Answer:
50
Step-by-step explanation:
The probability of rolling an even number three times in a row is; 1/27.
What is the probability of rolling an even number three times in a row?It follows from the task content that the six sided die is rolled thrice.
With each roll, it follows that the probability of rolling an even number is 2/6 = 1/3.On this note, upon rolling the dice thrice, it follows that the probability of rolling an even number all three times is;
P = 1/3 × 1/3 × 1/3 = 1/27.Read more on probability;
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It took 4 hours to drive 240. At this rate,how long does it take to drive 90 miles?
The required time that it takes for 90 miles is 1.5 hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time. For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance is given as 240 miles.
And, the time taken is 4 hours.
Now, the speed can be calculated by taking the ratio of the distance and time as below,
Speed = Distance ÷ Time
⇒ Speed = 240 ÷ 4 = 60
Thus, the time taken to drive 90 miles is calculated as,
Time = Distance ÷ Speed
⇒ Time = 90 ÷ 60 = 1.5
Hence, the time taken to cover 90 miles is 1 hour.
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Parallel lines r and s are cut by two transversals, parallel lines t and u.
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
Which angles are alternate exterior angles with angle 11?
Answer:
5 and 13
Step-by-step explanation: edge 2021
The alternate exterior angle can be identified by understanding the definition alternate exterior angles.
The alternate exterior angles with angle 11 are angle 13° and angle 5°.
Given:
The parallel line [tex]r\parallel s[/tex] and [tex]t\parallel u[/tex].
Refer the attached figure to understand the given statement.
The alternate exterior angles can be create by transversal intersecting two parallel lines. The alternate exterior angles lies opposite side of transversal and create the two pair line of alternate exterior angles.
As per the above definition alternate exterior angles, we notice in figure [tex]\angle 13[/tex] and [tex]\angle 5[/tex] are the exterior side of parallel lines and opposite to exterior side of parallel lines.
Thus, the alternate exterior angles with angle 11 are angle 13° and angle 5°.
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Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequality to find out how many more gallons she might put in the tank.
Step-by-step explanation:
the answer is 55 is less than or equal to 22
In ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. What ratio represents the cosine of ∠I?
We have been given that in ΔIJK, the measure of ∠K=90°, KJ = 77, IK = 36, and JI = 85. We are asked to find the ratio that represents the cosine of angle I.
First of all, we will draw a right triangle as shown in the attachment.
We know that cosine relates adjacent side of right triangle with hypotenuse.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
We can see that adjacent side to angle I is IK and hypotenuse is IJ.
[tex]\text{cos}(\angle I)=\frac{IK}{IJ}[/tex]
[tex]\text{cos}(\angle I)=\frac{36}{85}[/tex]
Therefore, the ratio of cosine of angle I is [tex]\frac{36}{85}[/tex].
Answer:
the ratio of cosine of angle I is 36/85.
Step-by-step explanation:
a length of clothesline is 3 1/3 ft long. how would you report its length in inches?
Answer:
40 inches
Step-by-step explanation:
Simply multiply the length value by 12
1 foot = 12 inches
Joan receives a 9% commission on appliances she sells. Last month she sold $18,500 worth of appliances. How much did Joan earn in commissions last month?
Answer:
She earned $1,665.
Step-by-step explanation:
x / 18500 = 9/100
What did you do to transform 18500 into 100? Divide by 185
Since you divided the denominator 185, you must do the same to the numerator.
x / 185 = 9 OR 9 * 185 = x
x = 1665