Which statement is a true conditional with a converse that is also true?


If an angle measures more than 90 degrees, then the angle is obtuse.

If x = 4, then x2 = 16.

If a figure is a square, then it is a quadrilateral.

If two angles are complementary, then the angles have a sum of 180 degrees.

Answer:

B) 7 - 5x

Step-by-step explanation:

7 - 5x is the difference between the number 7 and the product of 5 and 'x'

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]

Answer:

A. 1/5

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

2. (Solving)

Therefore, the answer is A. 1/5.

[tex]\huge \bf༆ Answer ༄[/tex]

Consider two points (-1 , 2) and (4 , 3)

Slope (m) of the graph is : -

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Answer:

Option B: (x= -8, y=10, z=-6)

Step-by-step explanation:

2x + 4y + 3z = 6 ... eq.(1)

5x + 8y + 6z = 4 ... eq.(2)

4x + 5y + 2z = 6 ... eq.(3)

From eq.(1),

2x= 6 - 4y - 3z

x= (6-4y-3z)/2 ... eq.(4)

Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)

In eq.(2),

5[(6-4y-3z)/2] +8y +6z =4

Multiplying through by 2

5(6-4y-3z) + 16y + 12z = 8

30-20y-15z+16y+12z = 8

22= 4y + 3z ... eq(5)

In eq.(3),

4[(6-4y-3z)/2] +5y +2z = 6

2(6-4y-3z) +5y + 2z =6

12-8y-6z + 5y +2z = 6

6= 3y + 4z ... eq.(6)

Multiplying eq.(5) and eq.(6) by 3 & 4 respectively

66=12y + 9z ... eq(8)

24=12y + 16z ... eq(9)

Subtracting eq(8) from eq(9)

42= -7z

z= -42/7

z = -6

Putting z as -6 in eq.(5)

22= 4y + 3(-6)

22= 4y -18

4y = 40

y = 40/4

y = 10

Putting y as 10 and z as -6 in eq(4)

x = [6 - 4(10) - 3(-6)]/2

x = (6 - 40 - 18)/2

x = -16/2

x = -8

x= -8, y= 10 , z= -6

Step-by-step explanation:

48 ÷ 2 = ...

= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)

= 6 + 6 + 6 + 6

= 12 + 12

= 24

Answer:

m∠2 = 17°

Step-by-step explanation:

y + 10 = 3y - 24

34 = 2y

17 = y

Step-by-step explanation:

using Pythagoras theorem,

(hypotenuse)² = (perpendicular)² + (base)²

given that, hypotenuse =x, perpendicular =7, base =4

(x)² = 7² + 4²

(x)² = 49 + 16

x = √65

Answer:

13. C

14. B

Step-by-step explanation:

yeah-ya........... right?

Answer:

[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ \text{Total Distance}}{ \text{Total time}} \\ [/tex]

[tex]\implies \footnotesize \text{ Average Speed} = \dfrac{ 6.7 \: km}{ \frac{1}{2} \: hr }[/tex]

[tex]\implies \footnotesize \text{ Average Speed} = 6.7 \times 2 \: km/h[/tex]

[tex]\implies \footnotesize \textbf{ Average Speed = 13.4 \: km/h}[/tex]

His rate is 13.4km/ hour

Data;

To solve this problem, we have to convert his speed from km/min to km/h

[tex]60min =1 hour\\[/tex]

Since his rate is 6.7kmin 30 minutes, let's convert it to hour

[tex]6.7km = 30min\\x km = 1min\\x = \frac{6.7}{30} \\x = 0.223km/min[/tex]

But to convert minutes to hours, we have to divide the time by 60

[tex]0.223\frac{km}{min}*60/1 = 13.4[/tex]

From the calculation above, his rate is 13.4km/ hour

Learn more on conversion from minutes to hours here;

https://brainly.com/question/4845674

Answer:

Step-by-step explanation:

Look at the first elements of the four points:  {0, 3, 6, 6}.  The element 6 appears twice and is associated with two different second elements:  {8, 12}.  That tells us immediately that this is not a function.

8√21 cm² is the area

hope it helps you

please mark as brainlliest!!

Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.

The calculation will go thus:

Perimeter = 2l + 2w

240 = 2(w + 16) + 2w

240 = 2w + 32 + 2w

240 = 4w + 32

4w = 240 - 32

4w = 208

w = 208/4 = 52

Therefore, the length will be:

= w + 16 = 52 + 16 = 68

Read related link on:

https://brainly.com/question/25748983

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

Read more about geometric sequence at:

https://brainly.com/question/1509142

Answer:

5.8 + 1 = z

6.8

Step-by-step explanation:

There are no variables in this equation. So you just add 5.8 + 1

Answer:

5.8+1=6.8

Step-by-step explanation:

'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:

5.80

+1.00

_____

6.80

or 6.8

6.8=z

Note: The zero after the numbers does not change the answer.

Hope this helped! :)

[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]

[tex]=\frac{6-8i+9i+12}{25} [/tex]

[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]

[tex]=\frac{18+i}{25} [/tex]

[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]

_______

Hope it helps :) ⚜

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

Answer:

use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)

3^2 + 4^2 = c^2 (c is the length of the ladder)

9 + 16 = c^2

25 = c^2

c = √25 (square root)

c = 5

Answer:

blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

what goes around always come back around

Answer:

330/495 = 2/3

the answer is 2/3

Answer:

3 : 2

Step-by-step explanation:

Total pages : allotted pages = 495 : 330

Find the HCF of 495 and 330

495 = 5 * 3*3*11

330 = 5 * 3 * 2 * 11      

HCF = 5 * 3 * 11 = 165

Divide 495 and 330 by 165

495 : 330 = 3 : 2                      

Answer:

12 12 18 1816 2888

Step-by-step explanation:

Just add on top and subtract on bottom

Answer:

You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.

Step-by-step explanation:

Answer:

she got 5049$ back in profit

Step-by-step explanation:

First count how much numbers are away from 413 to 600 you get 187

Next you Multiply 187 x 27 = 5049$

Answer:

0.15

Step-by-step explanation:

Answer:

1 1/24

Step-by-step explanation:

Pls give brainly if right :) also not 11 its 1u 1/24

Answer:17/3 or 5 and 2/3

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83