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Dmitry [639]
2 years ago
15

Help please and thanks

Mathematics
1 answer:
charle [14.2K]2 years ago
5 0

Answer:

The system has one solution that is substituting method

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I don’t understand how to do it ?
Temka [501]

We know that Sum of Angles in a Triangle is Equal to 180°

Here EBF is a Triangle

⇒ m∠EBF + m∠BEF + m∠EFB = 180°

⇒ 60° + 40° + m∠EFB = 180°

⇒ 100° + m∠EFB = 180°

⇒ m∠EFB = 180° - 100°

⇒ m∠EFB = 80°

As Line m and Line p are Parallel Lines :

Alternate Interior Angles are Equal, here Alternate Interior Angles are m∠BEF and m∠ABE

⇒ m∠BEF = m∠ABE

⇒ m∠ABE = 40°

We know that Vertically Opposite Angles are Equal, Here m∠GFI and m∠EFB are Vertically Opposite Angles.

⇒ m∠GFI = m∠EFB

⇒ m∠GFI = 80°

We can notice that m∠DEB and m∠BEF form a Linear Pair

⇒ m∠DEB + m∠BEF = 180°

⇒ m∠DEB + 40° = 180°

⇒ m∠DEB = 180° - 40°

⇒ m∠DEB = 140°

We can notice that Sum of Angles m∠CBF and m∠EBF and m∠ABE is 180°

⇒ m∠CBF + m∠EBF + m∠ABE = 180°

⇒ m∠CBF + 60° + 40° = 180°

⇒ m∠CBF + 100° = 180°

⇒ m∠CBF = 180° - 100°

⇒ m∠CBF = 80°

We can notice that m∠BFG and m∠EFB form a Linear Pair

⇒ m∠BFG + m∠EFB = 180°

⇒ m∠BFG + 80° = 180°

⇒ m∠BFG = 180° - 80°

⇒ m∠BFG = 100°

We know that Vertically Opposite Angles are Equal, Here m∠BFG and m∠IFE are Vertically Opposite Angles.

⇒ m∠BFG = m∠IFE

⇒ m∠IFE = 100°

3 0
3 years ago
You go bowling and it costs 20 dollars plus 5 dollars per person (p). Which expression represents the total cost?
mars1129 [50]

Answer:

20+?P

Step-by-step explanation:

You would have 20 there bc you have 20 dollars originally charged then depending on the number of people going its 5 dollars a person so it would be 20 + "number of people here" P

Hope this helps,

Can i get a brainlist or like :)

Thanks

4 0
3 years ago
Read 2 more answers
An oblique square prism is shown. Which expression represents the volume of the prism?
Furkat [3]

Answer:

C. x^2*(x-2)\text{ Cubic units}

Step-by-step explanation:

We have been given a diagram of an oblique prism and we are asked to choose the expression that represents the volume of the prism.

Since we know that an oblique prism is a prism in which the bases are parallel, but the faces are not directly one over the other.

The volume of an oblique prism is base area multiplied by the height.

\text{Volume of an oblique prism}=\text{Base area* Height of the prism}

We can see from our diagram that our prism has an square base as each side of base equals x units.

\text{Base area of prism}=x\text{ units}*x\text{ units}

\text{Base area of prism}=x^2\text{ units}^2

We can also see from our given diagram that it has a height of (x-2) units and slant height of (x+1) units.  

Since volume of oblique prism is base area times by the height (not slant height). So upon substituting the height and base area of our given prism in volume formula we will get,

\text{Volume of an oblique prism}=x^2\text{ units}^2*(x-2)\text{ units}

\text{Volume of an oblique prism}=x^2*(x-2)\text{ units}^3

Therefore, the volume of our given prism is x^2*(x-2)\text{ Cubic units} and option C is the correct choice.

3 0
3 years ago
Read 2 more answers
Can the distributive property be used to rewrite 6×(7-3) ? if yes show me why​
Temka [501]

Answer:

Yes, it can

(6 * 7) - (6* 3)

Step-by-step explanation:

Here, we want to use the distributive property

As seen from above, the multiplication is right distributive over the subtraction

so we have it that;

6 * (7-3) = (6 * 7) - (6* 3)

8 0
2 years ago
A certain stock opens with a price of
wolverine [178]

Answer:$387.27

Step-by-step explanation:

Hope this helps.

3 0
2 years ago
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