1. The interior angles of a triangle have measures of 55°, 25°, and x<br> What is x?

The larger of two numbers is 10 less than twice the smaller number. if the sum of the two numbers is 38, find the tqo nubers

Iteru [2.4K]

Let two number A and B, and A >B

as we know A+10=2B① && A+B =38②

①-② solve that
B=16 so A=22

so, they are 16 and 22

3 0

3 years ago

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

Read 2 more answers

WILL GIVE BRAINIEST TO THE CORRECT ANSWER!

11Alexandr11 [23.1K]

Answer:

B. Multiplication

Step-by-step explanation:

1+3x+(x*4)

1+3x+4x

You are multiplying x and 4

4 0

3 years ago

Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per y

zalisa [80]

Answer:

16

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A Charles Schwab survey in 2010 found that 45 % of the parents reported that they provide some form of financial assistance to a

nataly862011 [7]

Answer:

Step-by-step explanation:

Download docx

6 0

3 years ago

1. The interior angles of a triangle have measures of 55°, 25°, and x What is x?