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brilliants [131]

3 years ago

10

The measure of an exterior angle of a triangle is 75 degrees. If one of the non-adjacent interior angles measures 28 degrees, wh

at is the number of degrees in the other non-adjacent interior angle?

1 answer:

Leokris [45]3 years ago

4 0

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.

75-28=47

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Ellis makes some biscuits. For every 200g of flour he uses, he needs 75g of butter

MrRa [10]

Answer:

a) 8:3, b) no formula is there, c) 30

Step-by-step explanation:

because 200/75=8:3

because there formula being obtained

because 300/24=12.5

375/12.5=30

5 0

3 years ago

if an angle is acute, then the measure of its complement must be greater than the measure of its supplement? a.true b.false

iogann1982 [59]

The answer is a because the compliment is the other part of the 180 degree half circle, and if it's acute it has to be smaller than its compliment

6 0

3 years ago

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.

dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

$m\angle G+m\angle H+m\angle I=180^\circ$

$30^\circ+29^\circ+m\angle I=180^\circ$

$59^\circ+m\angle I=180^\circ$

$m\angle I=180^\circ-59^\circ$

$m\angle I=121^\circ$

According to Law of sines,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Using Law of sines, we get

$\dfrac{h}{\sin H}=\dfrac{i}{\sin I}$

$\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}$

$\dfrac{300}{0.4848}=\dfrac{i}{0.8572}$

Multiply both sides by 0.8572.

$\dfrac{300}{0.4848}\times 0.8572=i$

$530.44554=i$

$i\approx 530$

Therefore, the length of i is about 530 inches.

6 0

3 years ago

m∠1 is 4 times m∠2. ∠1 and ∠2 are complementary. ∠1 and ∠3 are vertical angles. ∠3 and ∠4 are supplementary. What are the measur

kherson [118]

Answer:

Step-by-step explanation:

Let's write a system of equations. I'm going to call them w, x, y, and z.

w = 4x (because m∠1 is 4 times m∠2)

w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)

w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)

y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)

When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!

3 0

3 years ago

Match them together to correct answer

Verizon [17]

ANSWER

Frequency=2

Midline =3

Amplitude =5

Period =π

EXPLANATION

We have:

$f(x) = 5 \cos(x) + 3$

The given function is of the form;

$f(x) = a\cos(bx) + c$

where

a=|5| =5 is the amplitude

and b=2 is the frequency.

and 2π/b=2π/2=π

The range of the given function is

8≤y≤-2

The midline is

$\frac{8 + - 2}{2} = \frac{6}{2} = 3$

6 0

3 years ago

Read 2 more answers