All categories

2 years ago

Find m∠FHG. Hurry pls

Mathematics

1 answer:

sesenic [268]2 years ago

8 0

180 -20 = 160 so angle FHG equals 160

You might be interested in

a student has a savings account with $475 in it. she deposits $125 of her paycheck into the account every week.

soldier1979 [14.2K]

Answer:

350

Step-by-step explanation:

you just have to subtract ibthink

8 0

3 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

Which of the following is a specific species designation

Nutka1998 [239]

Sapien because the word homo in homo sapien is the genus name, while the word sapien is the species name.

5 0

2 years ago

Find the distance between the two points rounding to the nearest tenth (if needed)

Ede4ka [16]

Answer:

6.3 units (nearest tenth)

Step-by-step explanation:

$\boxed{Distance \: between \: 2 \: points = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} } }$

Using the formula above,

distance between (-8, 6) and (-6, 0)

$= \sqrt{ {[ - 8 - ( - 6)]}^{2} + {(6 - 0)}^{2} }$

$= \sqrt{ {( - 8 + 6)}^{2} + {(6 - 0)}^{2} }$

$= \sqrt{ {( - 2)}^{2} + 6^{2} }$

$= \sqrt{4 + 36}$

$= \sqrt{40}$

= 6.3 units (nearest tenth)

3 0

2 years ago

Please HeLP me por favor

miv72 [106K]

Answer:

A: x<3 (x is smaller than three)

6 0

2 years ago

Read 2 more answers