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Tcecarenko [31]
3 years ago
10

Use deductive reasoning to select a valid conclusion. If a quadrilateral is a rhombus, then it is also a parallelogram. Quadrila

teral ABCD is a rhombus.A. Quadrilateral WXYZ is a rhombusB. No valid conclusionC. Quadrilateral ABCD is a parallelogramD. Every quadrilateral is a rhombus
Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0

Answer:

No valid conclusion

Step-by-step explanation:

- All rhombuses are parallelograms

- Not all parallelograms are rhombuses because a rhombus has four equal-length sides and a parallelogram has equal opposite sides.

- all squares are rhombuses but not all rhombuses are squares because a square has 4 right angles (90 degrees) and a rhombus has equal opposite angles

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If the product of two positive integers is 180 and the larger number is 5 times the smaller number, what are the numbers
Lubov Fominskaja [6]
Let the smaller number be x
The bigger number is 5x

5x(x) = 180
5x² = 180
x² = 180÷5
x²=36
x=√36
x = 6 

x=6
5x = 6 x 5
5x = 30

So the two numbers are 6 and 30
7 0
2 years ago
Can you help me find all the seventh roots of unity? what do they look like graphed?
alex41 [277]

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

8 0
3 years ago
What’s the answer hurry
Rina8888 [55]

Answer:

Choice C: Lauren is faster than Kevin, slower than Jeremy.

Step-by-step explanation:

Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.

Slope Formula: (y2-y1) / (x2-x1)

So lets take the table plots (2, 22) and (4, 33) to do this.

(y2-y1) / (x2-x1)

(33-22) / (4-2)

(11) / (2)

The speed of Kevin is 5.5 miles by hour.

Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:

5.5 * 2 = 11 miles per hour

To get the third biker's speed.

Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:

Jeremy: 12 mph

Kevin: 5.5 mph

Lauren: 11 mph

From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.

6 0
3 years ago
Would you measure the length of a bench in centimeters or in meters. explain you choice
kvasek [131]
Centimeters because its smaller than inches and meters are way to long. 
6 0
3 years ago
Read 2 more answers
NEED HELP ASAPPPPPPPPP
Nookie1986 [14]

Answer:

A  = 57°

B = 19°

C = 104°

Step-by-step explanation:

We have a triangle with 3 angles:

A, B, and C.

We know that:

"Angle A is 3 times larger than angle B"

We can write this as:

A = 3*B

"Angle C was 10° less than 6 times angle B"

This can be written as:

C = 6*B - 10°

And we also know that the sum of all interior angles of a triangle is 180°

Then we also have the equation:

A + B + C = 180°

So we have a system of 3 equations:

A = 3*B

C = 6*B - 10°

A + B + C = 180°

To solve this, the first step is to isolate one of the variables in one of the equations.

We can see that A is already isolated in the first one, so we can skip that step.

Now we need to replace A in the other equations, to get:

C = 6*B - 10°

(3*B) + B + C = 180°

Now we have a system of two equations.

Let's do the same procedure, we can see that C is isolated in the top equation, so we can just replace that in the other equation to get:

3*B + B + (6*B - 10°) = 180°

Now we can solve this for angle B

4*B + 6*B - 10° = 180°

10*B - 10° = 180°

10*B = 180° + 10° = 190°

B = 190°/10 = 19°

Now that we know the measure of angle B, we can input this in the equations:

A = 3*B

C = 6*B - 10°

To find the measures of the other two angles:

A = 3*19° = 57°

C = 6*19° - 10° = 104°

5 0
2 years ago
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