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3 years ago

Find the value of x.

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

Answer:

x = 57°

Step-by-step explanation:

The angle not 76° or x° is 180-133 which is 47°. A triangles angles always sum up to 180° so:

76°+47°+x°=180°

123°+x°=180°

x°=57°

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What is f(x)=x; g(x)=x+3

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3 years ago

What is the length of if ? 8 in. 8.75 in. 10.25 in. 14 in.

Ket [755]

Answer:

A=8.75 in.

Step-by-step explanation:

Since ∆ HBA & ∆HKJ are similar,

HB/HA = HK/HJ

3/5.25 = 8/HJ

3HJ/5.25 = 8

3HJ = 42

HJ = 14 in.

AJ = 14 - 5.25

AJ = 8.75 in.

Therefore

A=8.75 in.

I hope this helped you.

5 0

4 years ago

Read 2 more answers

The length of a rectangular flower bed is 2ft longer than the width. If the area is 6ft, then what are the exact length and widt

Marizza181 [45]

Answer:

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

Step-by-step explanation:

Let's assume width of rectangle is w ft

The length of a rectangular flower bed is 2ft longer than the width

so,

length =w+2

$L=w+2$

now, we can find area

$A=L\times W$

now, we can plug it

$A=(w+2)\times w$

$A=w^2+2w$

we are given area =6

so, we can set it equal

and then we can solve for w

$w^2+2w=6$

$w^2+2w-6=0$

we can use quadratic formula

$ax^2+bx+c=0$

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

now, we can compare and find a,b and c

a=1 , b=2 , c=-6

$w=\frac{-2\pm \sqrt{2^2-4\cdot \:1\left(-6\right)}}{2\cdot \:1}$

$w=-1+\sqrt{7},\:w=-1-\sqrt{7}$

we know that dimension can never be negative

so, we will only consider positive value

Exact dimensions:

$width=-1+\sqrt{7}$

$length=-1+\sqrt{7}+2$

$length=1+\sqrt{7}$

Approximate dimensions:

$width=1.64575ft$

$length=1.64575+2$

$length=3.64575ft$

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