All categories

3 years ago

Find the measure of the indicated angle below

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Answer:

The measure of x is $70\°$

Step-by-step explanation:

we know that

The formula to calculate the sum of the internal angles of a polygon is equal to

$S=(n-2)*180\°$

where

n is the number of sides

In this problem we have

$n=9\ sides$

substitute

$S=(9-2)*180\°=1,260\°$

Find the measure of each internal angle

Divide the sum of the internal angles by the number of sides

$1,260\°/9=140\°$

The value of x is half the measure of internal angle

$x=140\°/2=70\°$

You might be interested in

Grandma uses 2/3 of a pumpkin to make a pumpkin pie. How many pumpkins should she buy to make 4 pumpkin pies?

Pachacha [2.7K]

she needs to use 8/12 of pumpkins

4 0

2 years ago

What type of conic section is the following equation? x2 + (y - 5)2 = 12 parabola circle hyperbola ellipse

chubhunter [2.5K]

Answer: Circle

Step-by-step explanation:

It is a circle.

Center: (0,5)

r= √12 =2√3

7 0

3 years ago

Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left p

kari74 [83]

Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

Original, increased by 60%, became 80

This translated to algebraic equation would be:

x + 0.6x = 80

Note: 60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

$x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50$

Hence,

the recipe required 50 grams of cheese

6 0

3 years ago

What is the answer to this. Please help ASAP.

Zigmanuir [339]

V of rec. prism = whl = 3x5x6 = 90
V of cone = 3.14 x (3)^2 (8) /3= 75.36

90 - 75.36 = 14.64

answer
14.64

6 0

3 years ago

An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

Hence, the rate of decrease is: 43.2mm^3/min

8 0

3 years ago