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2 years ago

Which equation can be used to calculate the area of the shaded triangle in the figure below?

Mathematics

1 answer:

Nina [5.8K]2 years ago

8 0

Answer:

A = 48 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

here b = 16 and h = 6 , then

A = $\frac{1}{2}$ × 16 × 6 = 8 × 6 = 48 ft²

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ZEFG and ZGFH are a linear pair, mZEFG = 3n+ 21, and mZGFH = 2n + 34. What are mZEFG and mZGFH?

marysya [2.9K]

Answer:

The answer is below

Step-by-step explanation:

∠EFG and ∠GFH are a linear pair, m∠EFG = 3n+ 21, and m∠GFH = 2n + 34. What are m∠EFG and m∠GFH?

Solution:

Two angles are said to form a linear pair if they share a base. Linear pair angles are adjacent angles formed along a line as a result of the intersection of two lines. Linear pairs are always supplementary (that is they add up to 180°).

m∠EFG = 3n + 21, m∠GFH = 2n + 34. Both angles form linear pairs, hence:

m∠EFG + m∠GFH = 180°

3n + 21 + (2n + 34) = 180

3n + 2n + 21 + 34 = 180

5n + 55 = 180

5n = 125

n = 25

Therefore, m∠EFG = 3(25) + 21 = 96°, m∠GFH = 2(25) + 34 = 84°

7 0

2 years ago

6th grade math<br><br> help on numbers 4 5 6 plz help

mario62 [17]

Answer:

4) 6 students

5) 7 fewer students

6) No, you can not tell from the frequency table how many students ran a mile in exactly 12 minutes.

Step-by-step explanation:

4) you’d look at the row from 8:00-8:59.

5) Add the first two rows together (6+2=8), then subtract that by the sum of the last two rows (9+6=15), which is 7

6) There’s no pattern in the frequency table, and the data points would be plotted differently since it’d be from a range of times, not one set time.

Hope this helped, sorry if I’m wrong on #6 ;)

6 0

2 years ago

Read 2 more answers

Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.

inysia [295]

<h2>Hello!</h2><h2>Let me help you.</h2>

As I understand, you need to write an equation that relates $t \ and \ y$ . This problem will be solved using equations. The problem states:

<em>Nick bought t candies and divided them equally between his y friends and me. Each of us got 7 candies.</em>

<em />

From this statement, we know that:

t: Number of candies Nick bought.

y: Number of friends.

Since I am included in this problem, the number of people involved here can be expressed as:

$y+1$

Since each of us got 7 candies, then it is true that:

$\frac{t}{y+1}=7 \\ \\ t=7(y+1)$

<em>So t (number of candies) is a function of y(number of friends).</em>

6 0

2 years ago

Kyle and his friends share some apple pie equally. Each person gets 7/5 of the pies. Which of the following shows a possible way

stiv31 [10]

Answer:

7 apples divided among 5 people

Step-by-step explanation:

Given

Apple shared equally

Portion of each person = 7/5

Required

A possible way that shows how the pies were shared.

Given that 7/5 is the ration of the pie to each individual (Kyle and his friends).

Provided that each individual got equal ration....

The ration can be divided into two

The numerator = 7

The denominator = 5.

The numerator shows the number of things that were shared.

Hence, 7 apples were shared.

The denominator shows the number of people involved.

Hence, 5 people were involved.

So, we can conclude that 7 apples were divided among 5 people.

From option A through D, only option B satisfied this analysis

6 0

3 years ago

1.2x=6 what is the answer

kifflom [539]

Answer:

To figure this out we need to balance out the equation.

When a number is right next a variable, it is considered as multiplication. So, to balance the equation we need to divide.

Step-by-step explanation:

1.2/1.2 =x

1.2/6=5

Answer; x=5

7 0

3 years ago