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1 year ago

What are the values of x and the measure of angle e to the nearest degree?

Mathematics

1 answer:

iragen [17]1 year ago

5 0

The value of x or we can say that the value of side DF will be equal to 5.29.

<h3>What is an equation?</h3>

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

The sides of the right triangle are,

DE, h = 8

FE, b = 6

DF, p = x

Then, use Pythagoras' theorem,

h² = x² + b²

8² = x² + 6²

x² = 64 - 36

x = √28

x = 5.29

To know more about equation:

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Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°. What is the me

schepotkina [342]

Isosceles - two sides equal

2 angels the same

29 + 29 = 58

180 - 58 = 122

122 = DFE

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3 years ago

Read 2 more answers

Which is equivalent to (2^-3)^4 <br><br> 1/2^12<br><br> 2<br><br> -2^12<br><br> 1/2^7

sleet_krkn [62]

Answer:

The answer is First option

1/2^12 .

$\frac{1}{2^{12} }$

Step-by-step explanation:

Given:

(2^-3)^4

i.e

$(2^{-3} )^{4}$

To Find:

$(2^{-3} )^{4}=?$

Solution:

Law of Indices

$(x^{a}) ^{b} =x^{a\times b}\\and\\x^{-1}=\frac{1}{x}$

Using the above Property we get

∴ $(2^{-3} )^{4}=2^{-3\times 4} \\\\ (2^{-3} )^{4}=2^{-12} \\\\(2^{-3} )^{4}= \frac{1}{2^{12} }$

The answer is First option

1/2^12 .

$(2^{-3} )^{4}=\frac{1}{2^{12} }$

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3 years ago

42.54 degrees is the same as 42 degrees______ '42"

pav-90 [236]

The answer is 24" hope this helps.

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3 years ago

Simplify the expression. <br><br> [90 – (12 + 13)](15 ÷ 3)

slega [8]

$[90-(12+13)](15:3)= \\\\=(90-25)*5=\\\\= 65*5=\\\\=\boxed{325}$

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3 years ago

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What is the area of the shaded region?

Verdich [7]

<h2>Area of Composite Shapes</h2>

To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.

For this triangle, we will need to know the formula to find the area of a triangle:

$A=\dfrac{1}{2}bh$

<h2>Solving the Question</h2>

The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:

Find the area of the large triangle
Find the area of the little triangle
Subtract the area of the little triangle from the large triangle

<h3>Area of the Large Triangle</h3>

$A=\dfrac{1}{2}bh$

⇒ Plug in the values given for the base and height:

$A=\dfrac{1}{2}(5)(2+4+6)\\\\A=\dfrac{1}{2}(5)(12)\\\\A=(5)(6)\\\\A=30 mm^2$

<h3>Area of the Small Triangle</h3>

$A=\dfrac{1}{2}bh$

⇒ Plug in the values given for the base and height:

$A=\dfrac{1}{2}(3)(4)\\\\A=(3)(2)\\\\A=6mm^2$

<h3>Subtract the Area of the Small Triangle from the Area of the Large Triangle</h3>

$30 mm^2-6mm^2\\=24mm^2$

<h2>Answer</h2>

The area of the shaded region is $24mm^2$ .

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2 years ago

What are the values of x and the measure of angle e to the nearest degree?​

What are the values of x and the measure of angle e to the nearest degree?