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2 years ago

Find x Plz help me!!!!

Mathematics

2 answers:

lbvjy [14]2 years ago

8 0

Find the total ° of the shape.
(5-2) x 180°= 540°

x+21°+x = 540°-105°-154°-88°
2x+21° = 193°
2x = 193°-21°
2x = 172°
x = 172° ÷ 2
x = 86°

dalvyx [7]2 years ago

4 0

Answer:

Step-by-step explanation:

First we need to know that a hexagon contains 540 degrees worth of angles.

Now we can build an equation:

x + 21 + 105 + x + 154 + 88 = 540

Now we gather like terms:

2x + 368 = 540

Subtract 368 from both sides of the equation:

2x + 368 -368 = 540 -368

2x = 172

Now we divide both sides by 2 to isolate the x:

$\frac{x}{2} = \frac{172}{2}$

x = 86

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo

LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds $b$ , and the amount invested in CD $d$ , then we have:

$b+d=50,000$ this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds $b$ is $5,000 more than twice the amount Daniela put into the CD, we have:

$b=5,000+2d$ .

Thus, we have two equations and two unknowns $b$ and $d$ :

(1). $b+d=50,000$

(2). $b=5,000+2d$ ,

and we solve this system by substituting $b$ from the second equation into the first:

$b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}$

or, the amount invested in CD is $15,000.

With the value of $d$ in hand, we now solve for $b$ from equation(2):

$b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}$

or, the amount invested in bonds is $35,000.

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2 years ago

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Answer:

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