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3 years ago

6.1 Practice Assignment Solve for x and find the measure of ZWZX? please help!

Mathematics

1 answer:

Pani-rosa [81]3 years ago

8 0

Answer:

x = 56

m∠WZX = 51°

Step-by-step explanation:

The measure of the exterior angle at a vertex of a triangle equal to the sum of the measures of the two opposite interior angles to this vertex

In ΔWZX

∵ The angle of measure 148° is an exterior angle at vertex x

∵ ∠XWZ and ∠WZX are the opposite interior angles to vertex X

→ By using the rule above

∴ m∠XWZ + m∠WZX = 148°

∵ m∠XWZ = (2x - 15)°

∵ m∠WZX = (x - 5)°

→ Substitute them in the equation above

∴ 2x - 15 + x - 5 = 148

→ Add the like terms on the right side

∵ (2x + x) + (-15 - 5) = 148

∴ 3x + (-20) = 148

∴ 3x - 20 = 148

→ Add 20 to both sides

∵ 3x - 20 + 20 = 148 + 20

∴ 3x = 168

→ Divide both sides by 3

∴ x = 56

→ To find m∠WZX, substitute x by 56 in its measure

∵ m∠WZX = 56 - 5

∴ m∠WZX = 51°

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2 years ago

Can someone answer this question answer it correctly please and show work please

3241004551 [841]

Answer:

42) 254.47 ft²

43) 56 pendants

Step-by-step explanation:

42)

The radius of a circle is equal to half of its diameter.

Diameter = 18 feet

Radius = Diameter ÷ 2 = 18 ÷ 2 = 9 feet

Area of a circle = π $r^{2}$

Substitute in known value of r

Area = π $9^{2}$

Substitute in pi

Area = 3.14 * $9^{2}$

Solve exponent

Area = 3.14159265359 * 81

Area = 254.4690049408

(Rounds to 254.47)

254.47 ft²

43)

$1\frac{1}{2} =$ 1.5 ounces per pendant

3 pieces of silver:

$1\frac{7}{8}$ pounds

14 ounces

$2\frac{1}{2}$ pounds

Convert to improper fractions (1 lb = 16 ounces)

$\frac{15}{8}$ pounds

$\frac{14}{16}$ pounds

$\frac{5}{2}$ pounds

Find a common denominator for the fractions

$\frac{30}{16}$ pounds

$\frac{14}{16}$ pounds

$\frac{40}{16}$ pounds

Add

$\frac{30}{16}$ + $\frac{14}{16}$ + $\frac{40}{16}$

$\frac{84}{16}$ pounds

Find how many pendants can be made out of this amount

$\frac{84}{16}$ pounds

Convert back to ounces (1 lb = 16 ounces)

84 ounces

Amount to make one pendant:

$1\frac{1}{2}$ ounces

Convert to decimal

1.5 ounces

Divide 84 by amount of silver per pendant

84 ÷ 1.5

The maximum number the pendants that the manufacturer can make is 56

Hope this helps :)

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3 years ago

NEED HELP!20 points find the area.

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2 years ago

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3 years ago

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A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight

bixtya [17]

Answer:

The percentage is 55% when weight limit is 33 pounds.

The percentage is 190% when weight limit is 114 pounds.

The 95% of the limit weighs 57 pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{33}{60}\times100 = 55\%$

Hence The percentage is 55% when weight limit is 33 pounds.

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Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{114}{60}\times100 = 190\%$

Hence The percentage is 190% when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = $\frac{95}{100}\times60 = 57 \pounds$

Hence The 95% of the limit weighs 57 pounds.

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4 years ago