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4 years ago

How many solutions in 5x+48+7x=12(x+4)

Mathematics

1 answer:

pantera1 [17]4 years ago

3 0

Answer:

One solution.

Step-by-step explanation:

The power of 'x' is one, so this means that this is a linear equation. Linear equations only have one solution (the solution is the point where the graph crosses the x-axis, with lines, this only happens one time)

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Adia is making banners from a roll that is 4.05 meters long she will cut the paper into 3 equal lengths she uses base ten blocks

almond37 [142]

Divide the numbers but 70 has 2 numbers so take the decimal point and move it 2 spaces over and then divide

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3 years ago

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Four points are always coplanar if they:

12345 [234]

Four points are always coplanar if lie on same planes because coplanar points are three or more points which lie in the same plane.
So,The right answer is :
D. lie in the same plane.

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3 years ago

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B = {(0.5k–5, 10), (k+7, 4)} solve for k

Paul [167]

Answer:

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2 years ago

The area of the base of the oblique pentagonal pyramid is 50 cm2 and the distance from the apex to the center of the pentagon is

kirza4 [7]

Answer:

$\text{Height is }6\sqrt2cm$

$\text{The volume is }100\sqrt2cm^3$

Step-by-step explanation:

Given the area of the base of the oblique pentagonal pyramid is $50 cm^2$ and the distance from the apex to the center of the pentagon is 6 cm. The measure of ∠ACB is 45°.

we know that

ABC is a right triangle

∠ACB=45°

AC=hypotenuse------> 6 cm

$\sin 45^{\circ}=\frac{AB}{AC}$

$AB=AC\times \sin 45$

$AB=\frac{6}{\sqrt2}$

$AB=3\sqrt2$

$\text{Height is }6\sqrt2cm$

Now, volume of pyramid

$\text{Volume of the pyramid=}\frac{1}{3}\times \text{Area of the base}\times height$

Area of the base=50 cm²

$Height=6\sqrt2 cm$

so, $\text{volume of the pyramid=}\frac{1}{3}\times 50\times 6\sqrt2=100\sqrt2cm^3$

$\text{the volume is }100\sqrt2cm^3$

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3 years ago

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What must the measure of angle LMN be? m∠LMN = °

luda_lava [24]

Both 25x and 22x + 9 have the same answers. So you set those two equal to each other.
$25x = 22x + 9$
Subtract 22x from both sides.
$3x = 9$
and you're left with this.
Next, divide 3 from both sides.
$x = 3$
re-insert 3 into one of the equations.
$25(3) = 75$
add up both angles
$75 + 75 = 150$
all angles (for quadrilaterals)added up equals 360.
$150 + 2x = 360$
solve for x. Subtract 150 from both sides.
$2x = 210$
and divide 2 from both sides
$x = 105$
AngleLMN= 105

3 0

3 years ago