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8_murik_8 [283]
3 years ago
11

What is the height h of the parallelogram? Not drawn to scale

Mathematics
2 answers:
lions [1.4K]3 years ago
7 0

Answer: A. 32

Step-by-step explanation:

The area of the parallelogram with height 24 and base 36

= 24 × 36

= 864 square unit,

Also, the area of the parallelogram with height h and base 27

= h × 27

= 27 h square unit,

Since, According to the given diagram,

Both area must be equal because they are the area of same parallelogram,

⇒ 27 h = 864

⇒ h = 32 unit

⇒ Option A is correct.

Rus_ich [418]3 years ago
5 0
The answer is B. 40.5
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LT1 10th grade level
Anton [14]

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

\overline{AE}/\overline{AB} =  \overline{FA}/\overline{AC} = \overline{EF}/\overline{BC}

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides \overline{AE}/\overline{AB} =  \overline{FA}/\overline{AC}

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

\overline{AE}/\overline{AB} =  \overline{FA}/\overline{AC} = 50 ft. /(100 ft.) =  \overline{EF}/\overline{BC} = \overline{EF}/120 ft.

\overline{EF} = 120 ft. × 50 ft./(100 ft.) = 60 ft.

\overline{EF} = 60 ft.

The distance between the pirate and the treasure, \overline{EF} = 60 ft.

4 0
3 years ago
Please help. Only if you know it.
andrew11 [14]

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that <u>ends up with 0</u>.

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The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

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This leaves us with $5, not 0.

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3 years ago
HELP PLZ PICK ONE OF THE ONES SHOWN:
defon

I am doing with Question Number 2

Let the two numbers be 'x' and 'y'.

According to the question, the product of two numbers is 14.

x \times y=14

So, xy=14 (Equation 1)

Now, one of the numbers is 3 ½ times the other.

So, x = 3\frac{1}{2}\times y

x=\frac{7}{2}y (Equation 2)

Substituting the value of 'x' from equation 2 in equation 1, we get

\frac{7}{2}y \times y = 14

\frac{7}{2}y^{2} = 14

y^{2} = 4

So, y= 2 and -2

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3 years ago
Real world linear equation
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Answer: 3 toys

Step-by-step explanation:

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