30 ones, 82 thousands, 4 hundred thousands, 60 tens and 100 hundreds. What number am i

Which statement follows from the given theorem? Theorem: The diagonal of a parallelogram divides it into two congruent triangles

777dan777 [17]

Answer with explanation:

Theorem : The diagonal of a parallelogram divides it into two congruent triangles.

Properties of parallelogram

1. Opposite sides are equal and parallel.

2. Diagonal bisect each other.

3. Opposite Angles are equal.

If you will look at the first three options

A: Diagonals of a parallelogram bisect opposite angles.→→False(Alternate angles are equal)

B: Consecutive sides of a parallelogram are congruent.→→→False(Opposite sides are congruent)

C: Consecutive angles of a parallelogram are congruent.→→→False(Opposite angles are congruent)

D: Consecutive angles of a parallelogram are supplementary.→→→→True

For,any parallelogram, having vertices , A, B and C and D

Opposite sides are parallel, so

1.∠A + ∠B=180°

2.∠C + ∠B=180°

3.∠C+ ∠D=180°

4. ∠A + ∠D=180°

Option D

6 0

2 years ago

this net will be folded to form a prism. which pairs of faces will be opposite one another when the prism is created? check all

lesya [120]

Answer:

d and f 2.a and c 3.b and e

Step-by-step explanation:

6 0

1 year ago

Chuck has a gross pay of $815.70. By how much will Chuck’s gross pay be reduced if he has the following items withheld? federal

tangare [24]

Chuck has a gross pay of $815.70. His gross pay will be reduced by:

Federal tax of $56;
Social Security tax that is 6.2% of his gross pay;
Medicare tax that is 1.45% of his gross pay;
State tax that is 19% of his federal tax.

Let's count:

1. gross pay of $815.70 - 100%,

Social Security tax of $x - 6.2%.

Then

$\dfrac{815.70}{x}=\dfrac{100}{6.2} ,\\ \\815.70\cdot 6.2=x\cdot 100,\\ \\x=\dfrac{815.70\cdot 6.2}{100} =50.5734.$

2. gross pay of $815.70 - 100%,

Medicare tax of $y - 1.45%.

Then

$\dfrac{815.70}{y}=\dfrac{100}{1.45} ,\\ \\815.70\cdot 1.45=y\cdot 100,\\ \\y=\dfrac{815.70\cdot 1.45}{100} =11.82765.$

3. Federal tax of $56 - 100%,

State tax $z - 19%.

Then

$\dfrac{56}{z}=\dfrac{100}{19} ,\\ \\56\cdot 19=z\cdot 100,\\ \\z=\dfrac{56\cdot 19}{100} =10.64.$

4. Chuck’s gross pay will be reduced by

$\$56+\$50.5734+\$11.82765+\$10.64=\$129.04105\approx \$129.04.$

3 0

2 years ago

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Find the volume of a pyramid 5 yards tall if the base is a rectangle 15 feet by 6 feet.

BaLLatris [955]

V=lwh/3=5*15*6/3=160

3 0

2 years ago

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Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?

fenix001 [56]

Answer: THE GRAPH IS ATTACHED.

Step-by-step explanation:

We know that the lines are:

$x + 3y=-3$

$y = \frac{1}{2} x + 1$

Solving for "y" from the first line, we get:

$3y=-x-3\\\\y=-\frac{x}{3}-1$

In order to graph them, we can find the x-intercepts and the y-intercepts.

For the line $x + 3y=-3$ the x-intercepts is:

$0=-\frac{x}{3}-1\\\\(1)(-3)=x\\\\x=-3$

And the y-intercept is:

$y=-\frac{0}{3}-1\\\\y=-1$

For the line $y=\frac{1}{2} x + 1$ the x-intercepts is:

$0=\frac{1}{2} x + 1\\\\-1(2)=x\\\\x=-2$

And the y-intercept is:

$y=\frac{1}{2} (0)+ 1\\\\y=1$

Now we can graph both lines, as you can observe in the image attached (The symbols and $>$ indicates that the lines must be dashed).

By definition, the solution is the intersection region of all the solutions in the system of inequalities.

6 0

1 year ago

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