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Step2247 [10]
1 year ago
7

Look at thetriangles diagram. The value of x is ___ °

Mathematics
1 answer:
NemiM [27]1 year ago
4 0

By solving a linear equation we will see that the value of x is 10.

<h3></h3><h3>How to find the value of x?</h3>

Remember that for any triangle, the sum of all internal angles is always equal to 180°.

Here only look at triangle BCD, we know that:

m∠DBC = m∠ABC = 3x

m∠BCD = m∠ACB + m∠ABD = 2x + 65°

m∠ADC = 65°

Now we can write the linear equation as:

3x + 2x + 65° + 65° = 180°

5x + 130° = 180°

5x = 180° - 130°

5x = 50°

x = 50°/5 = 10°

The value of x is 10.

Learn more about triangles:

brainly.com/question/14285697

#SPJ1

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Answer:

44

Step-by-step explanation:

f(x) = -7x + 5x^2 + 10

f(-2) = -7(-2) + 5(-2)^2 + 10

= 14 + 20 + 10

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What is 1102 using the polynomial identity (a+b)2=a2+2ab+b2 ?
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Answer:

"Let the smaller value a = <u>10</u> and the larger value b = <u>100</u>. Than a^2 + 2ab + b^2 is <u>10^2 + 2 * 10 * 100 + 100^2</u>. This can be simplified to <u>12100</u>. So, 110^2 is equal to <u>12100</u>."

Hope this helped!

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2 years ago
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Find the length of the third side. If necessary, write in simplest radical form.
Mazyrski [523]

Answer:

\boxed {\boxed {\sf 8}}

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

a^2+b^2=c^2

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

a= 7 \\b= \sqrt{15}

Substitute these values into the formula.

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Solve the exponents.

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49+ (\sqrt{15})^2=c^2

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49+15=c^2

Add.

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Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

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The third side length is <u>8.</u>

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3 years ago
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If the cost price of a bag is AED 2176 and its selling price is AED 2497 then find the profit
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Step-by-step explanation:

2497 - 2176 = 321 AED

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