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3 years ago

What is the measure of the missing angle?

Mathematics

2 answers:

myrzilka [38]3 years ago

8 0

Answer:

Step-by-step explanation:

50 + 45 = 95

180 - 95 = 85

choli [55]3 years ago

4 0

Answer:

<u><em>85 degrees</em></u>

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

50 + 45 = 95

180 - 95 = 85

x = 85

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Slope of a parallel line with the points (7,-5) and (-5,7)

VLD [36.1K]

Answer: Negative 1 The slope of parallel lines is the same.

The attachment shows two such lines, given coordinates labeled.

Step-by-step explanation:

Find the slope of the line passing through the given points.

rise/run

Rise is the difference in y-values 7-(-5) = 12

Run is the difference between x-values -5 - 7 = - 12

The Slope is 12/-12 simplify:

slope = -1

5 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

Select all of the following statments that are true

Nonamiya [84]

Answer:

A. -¾ + 0 = -¾

B. -¾ - ¾ = -(¾ + ¾)

C. ¾ - ¾ = ¾ + (-¾)

E. -¾ + ¾ = ¾ + (-¾)

F. -¾ + ¾ = 0

Step-by-step explanation:

Let's check each equation to determine whether they are true or false.

If what we have in the both sides are equal, then the equation is true, if they're not, them it is false.

✔️-¾ + 0 = -¾

Add everything on your left together

-¾ = -¾ (TRUE)

✔️-¾ - ¾ = -(¾ + ¾)

Add everything on both sides together respectively

(-3 - 3)/4 = -(3 + 3)/4

-6/4 = -6/4 (TRUE)

✔️¾ - ¾ = ¾ + (-¾)

0 = ¾ - ¾ (+ × - = -)

0 = 0 (TRUE)

✔️-¾ + ¾ = ¾ - (-¾)

0 = ¾ + ¾ (- × - = +)

0 = 6/4 (FALSE)

✔️-¾ + ¾ = ¾ + (-¾)

0 = ¾ - ¾ (+ × - = -)

0 = 0 (TRUE)

✔️-¾ + ¾ = 0

0 = 0 (TRUE)

6 0

2 years ago

Is this right or not please say

Inessa [10]

Yes, your answer is correct

8 0

3 years ago

Read 2 more answers

The volume of the prism shown is 72. in3

Vesna [10]

Answer:

24 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

V = Bh

where B is the area of the base, and h is the height.

The volume of a pyramid is given by the formula ...

V = (1/3)Bh

where B and h have the same definitions.

For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:

(1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid

8 0

3 years ago