In ΔGHI, \overline{GI} GI is extended through point I to point J, \text{m}\angle GHI = (3x+13)^{\circ}m∠GHI=(3x+13) ∘ , \text{m}\angle IGH = (x+8)^{\circ}m∠IGH=(x+8) ∘ , and \text{m}\angle HIJ = (6x-5)^{\circ}m∠HIJ=(6x−5) ∘ . Find \text{m}\angle GHI.m∠GHI.

Answers

Answer 1

Given:

In ΔGHI, GI is extended through point I to point J.

[tex]m\angle GHI=(3x+13)^\circ,m\angle IGH=(x+8)^\circ,m\angle HIJ=(6x-5)^\circ[/tex]

To find:

The measure of angle GHI.

Step-by-step explanation:

According to exterior angle theorem, the measure of an exterior angle of a triangle is equal to the sum of measure of two opposite angles.

Using exterior angle theorem, we get

[tex]m\angle HIJ= m\angle GHI+m\angle IGH[/tex]

[tex](6x-5)^\circ=(3x+13)^\circ+(x+8)^\circ[/tex]

[tex](6x-5)^\circ=(4x+21)^\circ[/tex]

[tex]6x-4x=21+5[/tex]

[tex]2x=26[/tex]

Divide both sides by 2.

[tex]x=13[/tex]

Now,

[tex]m\angle GHI=(3x+13)^\circ[/tex]

[tex]m\angle GHI=(3(13)+13)^\circ[/tex]

[tex]m\angle GHI=(39+13)^\circ[/tex]

[tex]m\angle GHI=52^\circ[/tex]

Therefore, the measure of angle GHI is 52 degrees.

In GHI, \overline{GI} GI Is Extended Through Point I To Point J, \text{m}\angle GHI = (3x+13)^{\circ}mGHI=(3x+13)

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!well what I did. You know that 60 minutes=one hour. So I put 2 & 1/2 over 60.

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answer in the simplest radical form.

Answers

Answer: Exact Form:

97

6

Decimal Form:

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Btw that's 97 radical 6

~ zachary

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The radical is the symbol that is used to represent the root in the expression n√x. The correct option is C.

What is a radical?

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Hence, the correct option is C.

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Step-by-step explanation:

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Step-by-step explanation:

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2
In science class, Graciela noticed that the balance scale showed 2 ounces for a sample of matter and 56.7
grams for the same sample. She has a rock that weighs 708.75 grams but needs to know the weight in
ounces. Which proportion could Graciela use to find x, the weight of the rock in ounces?
rls, what
F
56.7
708.75
2
56.7
2 2.
56.7
78.75
708.75
H
2
708.75
56.7
y mile
J
708.7
2
56.7

Answers

Answer:

Step-by-step explanation:

If the scale showed 2 ounces for a sample of matter and 56.7grams for the same sample, then;

2 ounces = 56.7grams

If She has a rock that weighs 708.75 grams but needs to know the weight in

ounces, we can say;

x ounces = 708.75grams

Combining both equality postulates

2 ounces = 56.7grams

x ounces = 708.75grams

Cross multiply

56.7 × x = 2 × 708.75

x = (2 × 708.75)/56.7

The proportion is (2 × 708.75)/56.7

Calculate x:

x = 1417.5/56.7

x = 25

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