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Eva8 [605]
3 years ago
10

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0
These are vertical angles, meaning they are congruent by definition. Thus, you can set the angles' expressions equal to each other and solve for x this way:

3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x

Answer:
x = 20
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Select all of the products of 2.74 • 7.5
Nana76 [90]
2.74x7.5=20.55=20.550
That's all of your answers.
7 0
3 years ago
Read 2 more answers
Two sides of the triangle are 6 and 6. Which of the following could be the length of the third side?
sergejj [24]

Answer:

6

Step-by-step explanation:

6 0
3 years ago
Prove that sin^4x + cos^4x= sinxcosx
yKpoI14uk [10]

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

sin^4(x) + cos^4(x)

We can rewrite this as:

(sin^2(x))^2 + (cos^2(x))^2

Now we can add and subtract cos^2(x)*sin^2(x) to get:

(sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)

We can complete squares to get:

(cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2

and we know that:

cos^2(x) + sin^2(x) = 1

then:

1 - 2*sin(x)^2*cos(x)^2

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

1 - \frac{sin^2(2*x)}{2}

Then the simplification is:

cos^4(x) + sin^4(x)  = 1 - \frac{sin^2(2*x)}{2}

7 0
3 years ago
16x^7 - 8x^3 / 4x^3
Sunny_sXe [5.5K]

Answer:

4x^4-2

Step-by-step explanation:

\dfrac{16x^7-8x^3}{4x^3}= \\\\\\\dfrac{4x^3(4x^4-2)}{4x^3}= \\\\\\4x^4-2

Hope this helps!

8 0
3 years ago
Read 2 more answers
Find the values of the pronumerals in this diagram. Write down the reason in each case.
timofeeve [1]

Answer:

see explanation

Step-by-step explanation:

a and 85 form a straight angle and are supplementary, thus

a + 85 = 180 ( subtract 85 from both sides )

a = 95

b and 85 are vertical angles and are congruent, thus

b = 85

c and 85 are corresponding angles and congruent, thus

c = 85

c and d are vertical angles and congruent, thus

d = 85

In conclusion

a = 95, b = 85, c = 85, d = 85

5 0
3 years ago
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