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4 years ago

What are some of the most important rules in triangle geometry?

1 answer:

8 0

The hypotenuse should not be counted while finding the area of a triangle. The formula for the area of a triangle is 0.5bh. The Pythagorean theorem is a^2+b^2=c^2. The legs represent a and b, while the hypotenuse represents c.

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Emelina wrote the equation of a line in point-slope form as shown below.

Harman [31]

Answer: $y=3x+2$

Step-by-step explanation:

Given: Emelina wrote the equation of a line in point-slope form as shown below.

$(y+4)=3(x+2)$

To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get

$y+4=3x+6$

Now, subtract 4 from both sides , we get

$y=3x+2$

Hence, Emelina’s equation in slope-intercept form : $y=3x+2$

6 0

4 years ago

Read 2 more answers

Find the are of the shape below

skelet666 [1.2K]

Answer:

Area is 235

Step-by-step explanation:

Split the shape evenly so 11 x 14 and 9 x 9then multly and add

when slpitting up the number some times you have to add or subtract so to get 9 x 9 we just take 20 then take away 11 due to the line going through 20 and 20 - 11 = 9

9 x 9 = 81

11 x 14 = 154

81 + 154 = 235

Simular to the first one but the cutting line is different. this time the line cuts through 14

9 x 20 = 180

11 x 5 = 55

180 + 55 = 235

8 0

2 years ago

Apply the distributive property to the expression to write an equivalent expression. 5x + 35 Complete the statements. Find the G

stepladder [879]

Answer:

Apply the distributive property to the expression to write an equivalent expression.

5x + 35

Complete the statements.

Find the GCF of

✔ 5x and 35

Now, factor out the GCF by dividing each term in the expression by

✔ 5

5x divided by the GCF is

✔ x

, and 35 divided by the GCF is

✔ 7

The equivalent expression is

✔ 5(x + 7)

6 0

3 years ago

Read 2 more answers

A prism, whose area of cross-section is 55 cm, has a height of 21 cm. Find the

erma4kov [3.2K]

Step-by-step explanation:

volume = crossectional area×height

55×21= 1155cm³

6 0

3 years ago

What is the value of x in the equation StartFraction 4 Over 7 EndFraction (StartFraction 21 Over 8 EndFraction x + one-half) = n

Sliva [168]

Answer:

Step-by-step explanation:

$\dfrac{4}{7}\left(\dfrac{21}{8}x+\dfrac{1}{2}\right)=-2\left(\dfrac{1}{7}-\dfrac{5}{28}x\right)\\\\\text{use the distributive property}\ a(b\pm c)=ab\pm ac\\\\\left(\dfrac{4}{7}\right)\left(\dfrac{21}{8}x\right)+\left(\dfrac{4}{7}\right)\left(\dfrac{1}{2}\right)=(-2)\left(\dfrac{1}{7}\right)-(-2)\left(\dfrac{5}{28}x\right)\\\\\dfrac{4\cdot21}{7\cdot8}x+\dfrac{4\cdot1}{7\cdot2}=-\dfrac{2}{7}+\dfrac{2\cdot5}{28}x\qquad\text{simplify}$

$\dfrac{3}{2}x+\dfrac{2}{7}=-\dfrac{2}{7}+\dfrac{5}{14}x\qquad\text{multiply both sides by 14}\\\\(14)\left(\dfrac{3}{2}x\right)+(14)\left(\dfrac{2}{7}\right)=(14)\left(-\dfrac{2}{7}\right)+(14)\left(\dfrac{5}{14}x\right)\qquad\text{simplify}\\\\(7)(3x)+(2)(2)=(2)(-2)+(1)(5x)\\\\21x+4=-4+5x\qquad\text{subtract 4 from both sides}\\\\21x+4-4=-4-4+5x\\\\21x=-8+5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\21x-5x=-8+5x-5x\\\\16x=-8\qquad\text{divide both sides by 16}$

$\dfrac{16x}{16}=\dfrac{-8}{16}\qquad\text{simplify}\\\\\boxed{x=-\dfrac{1}{2}\to x=-0.5}$

6 0

3 years ago

Read 2 more answers