All categories

3 years ago

Given:

Mathematics

1 answer:

german3 years ago

8 0

Answer:

x = 60

m∠G = 114 degrees

Step-by-step explanation:

In any parallelogram, every two opposite angles are equal in measures

In the given figure

∵ EFGH is a parallelogram

∵ ∠E and ∠G are opposite angles

→ By using the rule above

∴ m∠E = m∠G

∵ m∠E = (2x - 6)°

∵ m∠G = (x + 54)°

→ Equate them

∴ 2x - 6 = x + 54

→ Subtract x from both sides

∵ 2x - x - 6 = x - x + 54

∴ x - 6 = 54

→ Add 6 to both sides

∵ x - 6 + 6 = 54 + 6

∴ x = 60

→ Substitute the value of x in the expression of ∠G to find it

∵ m∠G = 60 + 54

∴ m∠G = 114 degrees

You might be interested in

What is (3x-4) (7x+4)

d1i1m1o1n [39]

Answer:21x^2-16x-16

Step-by-step explanation:

(3x)(7x)+(3x)(4)+(−4)(7x)+(−4)(4) =

21x^2+12x−28x−16

21x^2−16x−16

7 0

4 years ago

Read 2 more answers

Please help me! Find the vector v with v=6 and<br> direction = 150°.

grin007 [14]

Answer:

Step-by-step explanation:

4 0

3 years ago

What is the value of k in the equation?<br> 20^k/ 20^4 = 20^9

Luden [163]

Answer:

k = 13

Step-by-step explanation:

20 ^ k / 20^4 = 20^9

knowing the laws of exponents, diving two numbers of the same base with exponents is like subtracting the exponents, so

k^x / k^y

= k ^ (x - y)

apply that knowledge here

20 ^ k / 20 ^ 4 = 20 ^ 9

20 ^ ( k - 4 ) = 20 ^ 9

now the bases have no use here so ignore them, and just calculate the exponents

k - 4 = 9

solve using inverse operations

k - 4 = 9

+4 +4

k = 13

4 0

3 years ago

Read 2 more answers

If the cost, C(x), for manufacturing x units of a certain product is given by

Diano4ka-milaya [45]

Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing <em>x</em> units of a certain product is:

$C(x)=x^2-15x+34$

We want to find the number of units manufactured at a cost of $8350. Therefore:

$8350=x^2-15x+34$

Subtract 8350 from both sides:

$x^2-15x-8316=0$

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 1, b = -15, and c = -8316. Thus:

$\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}$

Simplify:

$\displaystyle x=\frac{15\pm\sqrt{33489}}{2}$

Evaluate:

$\displaystyle x=\frac{15\pm183}{2}$

Therefore, our solutions are:

$\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84$

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

5 0

3 years ago

What is the value of x in reduced radical form? (us sqrt)

tino4ka555 [31]

Answer:

sin theta= p/h

here, 40√3/x=x sin 60

40√3/x=x √3/2

40/x= x/2

x^2=80

=√80=4√5

6 0

3 years ago