The converse of the statement “If an angle is a right angle, then it measures 90 degrees” is “If an angle measures 90 degrees, then it is a right angle.”
Explanation:The converse of the statement “If an angle is a right angle, then it measures 90 degrees” is “If an angle measures 90 degrees, then it is a right angle.” The converse of a conditional statement swaps the hypothesis and conclusion of the original statement. In this case, the original statement states that if an angle is a right angle (hypothesis), then it measures 90 degrees (conclusion). The converse states that if an angle measures 90 degrees (hypothesis), then it is a right angle (conclusion).
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Crafty Grandma Edith sat her family down during Thanksgiving and told them they couldn’t have any pumpkin pie until they worked out this puzzle. Her 6-year-old granddaughter was the first to solve it! Can you work out what 9183 equals?
8809=6
7111=0
9881=5
6660=4
5531=0
2516=1
3590=2
6855=3
1012=1
5731=0
9191=2
9183=?
A box has a width 9 inches less than its height and a length 7 inches more than its height.
a. If h is the height of the box, write a polynomial that represents the volume of the box.
b. Use this polynomial to calculate the volume for h = 17 inches.
At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
a. x + y < 12
b. x + y > 12
c. x + y ≤ 12
d. x + y ≥ 12
the answer is B hope it helps
Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61,600, how much does Tina pay in state income tax?
a. $1,545
b. $227
c. $4,372
d. $2,772
can u show work 39472/78 ...?
In ELECTRONICS, the total resistance to the flow of electricity in a circuit is called the impedance, Z. Impedance is represented by a complex number. The total impedance in a series circuit is the sum of individual imepedances. The impedance in one part of a circuit is Z1 = 3 + 4i. In another part of a circuit, the impedance is Z1 = 5 - 2i. What is the total impedance of the circuit?
The total impedance of the circuit is 8 + 2i.
Explanation:The total impedance in a series circuit is the sum of the individual impedances. To find the total impedance of the circuit, add the real parts and imaginary parts separately. In this case, Z1 = 3 + 4i and Z2 = 5 - 2i. So, the total impedance Zt = (3 + 5) + (4 - 2)i. Simplifying this, Zt = 8 + 2i.
The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 34 and m3 is 76. Find m1The diagram is not to scale.
A. 130
B. 110
C. 100
D. 120
3^x : write in terms of base e and simplify! ...?
A circle has an area of 98mm^2. Find the circumference of the circle
Three water pipes are used to fill a swimming pool. The 1st pipe alone takes 8 hours to fill the pool, the 2nd pipe alone takes 12 hours to fill the pool, and the 3rd pipe takes 24 hours to fill the pool. If all 3 pipes are opened at the same time, how long will it take all 3 together to fill the pool?
A movie store sells DVDs for $11 each. What is the cost of n DVDs? Identify the situation as discrete or continuous.
A) C= 11n; continuous
B) C= 11+n; discrete
C) C= 11+n; continuous
D) 11n; discrete
Answer:
Complete Quick Check of...
Lesson 4: Graphing a Function Rule
Algebra 1 A: Unit 5
Step-by-step explanation:
1.C) x,0,1,2,3, y,3,-1,-5,-9
2.A) True
3.D) $698.75
4.C) cant write it out.
5.D) C = 11n; discrete
:) hope this helps!
determine the differential equation giving the slope of the tangent line at point (x,y) for the given family of curves.
x^2+y^2=2cx ...?
At the bank brent exchanges $50 in bills for 50 one-dollars coins. the total mass of the coins is 405 grams. estimate the mass of 1 one - dollar coin.
what is the answer to n * $3.25 = 325.00 ?
what is another name for plane Z?
Solve 16 1/2 ÷ 2 1/4
A:7 1/3
B:5 3/7
C:133/8
When you multiply or divide an inequality by a ______ number, you must flip the inequality symbol.
Perform the operations, multiply, and simplify.-a^3b (3a^2 b^5 - ab^4 - 7a ^2
b.
4x^2+4y^2=64
what are the domain and range
Transform the formula for the given variable: I=Prt solve for t
Solve the inequality.
p – 9 < –9
What is .62 rounded to the nearest tenth?
for the parallelogram, if m<2+5x-28 abd m<4=3x-10, find m< 3. ...?
Final answer:
After finding the value of x by equating m<2 and m<4, we calculate m<4 and then use the property of supplementary angles in a parallelogram to find that m<3 is 163 degrees.
Explanation:
To solve for m<3 in the parallelogram with m<2 = 5x - 28 and m<4 = 3x - 10, we first find the value of x. Given that opposite angles in a parallelogram are equal (m<2 = m<4), we set the two equations equal to each other and solve for x:
5x - 28 = 3x - 10
5x - 3x = 18
2x = 18
x = 9
Now that we have the value of x, we can substitute it into the equation for either angle to find the measure of that angle. Since m<4 = 3x - 10:
m<4 = 3(9) - 10 = 27 - 10 = 17
In a parallelogram, adjacent angles are supplementary, meaning they add up to 180 degrees. Therefore, to find m<3, we subtract m<4 from 180 degrees:
m<3 = 180 - m<4
m<3 = 180 - 17 = 163
Thus, m<3 in the parallelogram is 163 degrees.
The measure of angle 3 in the parallelogram is [tex]\( m\angle 3 = 2x - 18 \).[/tex]
Explanation:In a parallelogram, opposite angles are equal. Therefore, we can set up an equation based on the given angle measures:
[tex]\[ m\angle 2 + m\angle 3 = 180^\circ \][/tex]
Substitute the given expressions for[tex]\( m\angle 2 \) and \( m\angle 4 \):[/tex]
[tex]\[ (2 + 5x - 28) + (3x - 10) = 180 \][/tex]
Combine like terms:
[tex]\[ 5x + 3x - 28 - 10 + 2 = 180 \][/tex]
[tex]\[ 8x - 36 = 180 \][/tex]
Add 36 to both sides:
[tex]\[ 8x = 216 \][/tex]
Divide by 8:
[tex]\[ x = 27 \][/tex]
Now that we have the value for x, substitute it into the expression for \( [tex]m\angle 3 \):[/tex]
[tex]\[ m\angle 3 = 2(27) - 18 \][/tex]
[tex]\[ m\angle 3 = 54 - 18 \][/tex]
[tex]\[ m\angle 3 = 36 \][/tex]
Therefore, the measure of angle 3 in the parallelogram is [tex]\( m\angle 3 = 36^\circ \).[/tex]
Simplify -3p3 + 5p + (-2p2) + (-4) - 12p + 5 - (-8p3). Select the answer in descending powers of p.
1 - 7p - 2p2 + 5p3
5p3 - 2p2 - 7p + 1
1 + 7p + 2p2 - 5p3
-5p3 + 2p2 + 7p + 1
Answer:
B. 5p³ - 2p² - 7p + 1
Step-by-step explanation:
Good luck! Hope it was found helpful to you!
An increase in total assets can be financed by an increase in which of the following capital components:
a. debt
b. preferred stock
c. common equity
d. All of the above ...?
Which answer describes the type of sequence?
1, 6, 7, 13, ...
A. geometric
B. neither arithmetic nor geometric
C. arithmetic
b: neither arithmetic nor geometric
The given sequence describes the type of sequence that is neither arithmetic nor geometric. which is the correct answer would be an option (B).
What is an arithmetic sequence?An arithmetic sequence is defined as an arrangement of numbers that is a particular order.
The sequence is given in the question following as:
1, 6, 7, 13, ...
We have to identify the type of given sequence
As per the given question, we have
1, 6, 7, 13, ...
For checking as an arithmetic sequence :
Common difference between 1 and 6 is d = 6 - 1 = 5
Common difference between 6 and 7 is d = 7 - 6 = 1
Since the common difference between consecutive terms is not the same, this means it's not an arithmetic sequence.
For checking as a geometric sequence :
Common ratio between 1 and 6 is r = 6/1 = 6
Common ratio between 6 and 7 is r = 7/6
Since the common ratio between consecutive terms is not the same, this means it's not a geometric sequence
Thus, the given sequence describes the type of sequence that is neither arithmetic nor geometric.
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Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
your weekly wage is $400 what is your annual?
"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.)
f (x) = cos(πx/2)
Answer: The derivate is f'(x) = -sin(πx/2)*(π/2)
Step-by-step explanation:
We want the value of the derivate at each point marked:
As you may know, the derivate of cos(x) is equal to -sin(x)
And in our case:
f(x) = cos(πx/2)
f'(x) = -sin(πx/2)*(π/2)
Where the rule used is that the derivate of f(g(x)) is equal to f'(g(x))*g'(x)
Now, as you may see, in both the marked points the curve changes of direction, so the tangent line in that point must be zero, letsinput the values of x in the derivate and see if this is true:
f'(0) = -sin(π*0/2)*(π/2) = -sin(0)*(π/2) = 0
f'(2) = -sin(π*2/2)*(π/2) = -sin(π)*(π/2) = 0
So this makes sense.
If 6 is 24% of a number, what is 40% of the same number?
(A) 8
(B) 10
(C) 15
(D) 20
To find 40% of the number where 6 is 24%, we first determine the whole number by dividing 6 by 0.24 to get 25. Then we calculate 40% of 25, which is 10.
If we know that 6 is 24% of a number, we can find the whole number by dividing 6 by 0.24. Once we have the full number, we can calculate 40% of it. Let's do the calculation step by step.
Calculate the whole number using the given percentage: Whole number = 6 / 0.24.
Perform the division to find the whole number: Whole number = 25.
Calculate 40% of the whole number: 40% of 25 = 0.40 * 25.
Perform the multiplication to find 40% of the number: 40% of 25 = 10.
Therefore, 40% of the same number is 10.