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2 years ago

What is the value of x in 7x-18

Mathematics

1 answer:

xxMikexx [17]2 years ago

6 0

Answer:

x = 21

Step-by-step explanation:

Although the picture is a bit blurry towards the bottom, I believe the opposite exterior angle is 129°

Opposite exterior angles are equivalent by the opposite exterior angles postulate. Of course, this only applies if the transversed lines are parallel, which they are in this case, because of the small orange arrows.

Anyhow, the equation should be set up as follows:

$129 = 7x-18\\129 + 18 = 7x - 18 +18\\147 = 7x\\21=x$

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Given that f(x)=2x/3 evaluate f^-1(6)

abruzzese [7]

Answer:

Step-by-step explanation:

we know by definition that

$f^{-1}(f(x))=x\\\\f^{-1}(\frac{2x}{3})=x\\\\f^{-1}(x)=ax\\\\f^{-1}(\frac{2x}{3})=a(\frac{2x}{3})=x\\\\f^{-1}(x)=\frac{3x}{2}$

so now we evaluate

$f^{-1}(6)=\frac{3*6}{2}\\\\=3*3\\\\f^{-1}(6)=9$

and if we want to do an extra step

$f^{-1}(f(6))=6\\\\f^{-1}(\frac{2*6}{3})=f^{-1}(4)=\frac{3*4}{2}=6$

which works.

4 0

2 years ago

NEED HELP ASAP!! I'm doing trigonometry and I've been stuck on this problem I don't really understand it, if you could help that

Tems11 [23]

Answer:

6.1

Step-by-step explanation:

Draw a picture of an equilateral triangle. Cut the triangle in half, so that you get two 30-60-90 triangles. The area of these smaller triangles is 8 square inches.

The short leg of these triangles (the base) is half the side length: ½ s.

According to properties of 30-60-90 triangles, the long leg (the height) is √3 times the short leg: ½ s√3.

Area of a triangle is half the base times the height:

A = ½bh

8 = ½ (½ s) (½ s√3)

8 = ⅛ s²√3

64 = s²√3

s² = 64/√3

s = √(64/√3)

s ≈ 6.1

4 0

3 years ago

If ABCD is a parallelogram find the value of unknown size of angle

fiasKO [112]

b=7×10(opposite angle of parallelogram)

b=70

3x+10+b=180(cointerior angles)

3x=10

x=33.33

a+70=180(cointerior angles)

a=110

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3 years ago

Write a system<br> of linear inequalities represented by the graph.

Helga [31]

2,3 or 4,1 either one

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2 years ago

Triangles PQR and XYZ are similar.

laiz [17]

Answer:

Option A. 5.25 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

$\frac{PR}{XZ}=\frac{QR}{YZ}$

substitute the given values

$\frac{7}{XZ}=\frac{4}{3}$

solve for XZ

$XZ=7(3)/4\\XZ=5.25\ units$

7 0

3 years ago