Solve for x in the triangle below. Show your work for full credit

Answers

Answer 1

Answer:

Answer:

x = 3

Step-by-step explanation:

Since the sum of the interior angles of a triangle is always equal to 180°. This is regardless of the size or shape of the triangle.

In this case:

We can say that:

$\sf 45^\circ + 90^\circ + (8x+21)^\circ =180^\circ$

Simplify like terms:

$\sf 45^\circ + 90^\circ + 8x+21^\circ =180^\circ$

$\sf 156^\circ +8x = 180^\circ$

Subtract 156° on both sides:

$\sf 156^\circ +8x -156^\circ= 180^\circ- 156^\circ$

Simplify:

$\sf 8x = 24^\circ$

Divideby8 on both sides:

$\sf (8x)/(8)=(24)/(8)$

$\sf x = 3$

Therefore, the value of x is 3.

Answer 2

Answer:

Answer:

$\sf\n\textsf{The square angle in the triangle indicates }90^o.\n\n\textsf{Since sum of angles of triangle equals }180^o,\n\n(8x+21)^o+45^o+90^o=180^o\n\textsf{or, }(8x+21)^o=45^o\n\textsf{or, }8x=24^o\n\therefore\ x=3^o$

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4) Jeremy bought a new truck for $32,000. The value of the truck after t years can be represented by the formula V = 32,000(.8)t. When will the truck be worth approximately $6700?

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What is the square root of 100

Answers

The square root of 100 is basically: 10 × 10.

10 × 10 = 100, so the square root of 100 is 10.

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Answers

15.

0.20*x = 0.01*x + 38 => 0.19*x = 38 =>( 19/100 )*x = 38 => x = 3800/19 => x = 200.

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups

Answers

The correct answer is:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups. Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549

Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

A car depreciated $1500 each year it was owned and driven. What type of depreciation is this?

Answers

it is yearly depreciation

What is the simplest square root of 1345? no decimals please

Answers

37 is the answer because if you round 36.6742 up you get 37

The square root of 1345 is 36.4 but if you would round it off its 37 in short its between 36-37

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