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2 years ago

The angles of a quadrilateral are represented by 9x, (20x + 16) (12x + 10), and (7x- 2)°. What is the value of x?

Mathematics

1 answer:

Pepsi [2]2 years ago

5 0

Answer:

x=7

Step-by-step explanation:

9x+20x+16+12x+10+7x-2=360

48x+24=360

48x=360-24

48 x=336

x=336/48=7

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28 + 24 as a product of two factors using the GCF and the distributtive property

Sloan [31]

Answer:

28 + 24 as a product of two factors is 4(7 + 6)

Step-by-step explanation:

GCF is the greatest common factor of two numbers

Let us find the GCF of the given numbers 28 and 24

∵ 28 = 1 × 28, 2 × 14, 4 × 7

∴ The factors of 28 are 1, 2, 4, 7, 14, 28

∵ 24 = 1 ×24, 2 × 12, 3 × 8, 4 × 6

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

→ Find the common factors of them

∵ The common factors of 28 and 24 are 1, 2, 4

∵ The greatest factor of them is 4

∴ The GCF = 4

→ Write 28 as 4 × 7 and 24 as 4 × 6

∵ 28 = 4 × 7 and 24 = 4 × 6

∴ 28 + 24 = 4 × 7 + 4 × 6

→ Take 4 as a common factor

∵ 4 × 7 + 4 × 6 = 4(7 + 6) ⇒ distributive propoerty

∴ 28 + 24 = 4(7 + 6)

∴ 28 + 24 as a product of two factors is 4(7 + 6)

8 0

2 years ago

Find the value of x.

Mkey [24]

Answer:

x = 36°

Step-by-step explanation:

Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:

3x +2x = 180°

5x = 180° . . . . . . . . . collect terms

x = 180°/5 = 36° . . . . . divide by 5

4 0

2 years ago

If the original pair of a pair of shoes is $80 but a sign above the shoes reads “ Sale - 20% discount”, then what price would a

solong [7]

Answer:

A. 64

Step-by-step explanation:

The shoes are 80 dollars. We get a 20% discount

Discount = 80*20%

= 80*.20

=16

The sales price = original price less the discount

= 80 -16

= 64

6 0

3 years ago

Make r the subject of the formula <br>v = \pi \: h {}^{2}(r - \frac{h}{3})v=πh2(r−3h) <br>

mel-nik [20]

Answer:

$\boxed{r = \frac{h}{3} + \frac{v}{\pi {h}^{2} } }$

Step-by-step explanation:

$Solve \: for \: r: \\ = > v= \pi {h}^{2}(r - \frac{h}{3} ) \\ \\ v=\pi {h}^{2}(r - \frac{h}{3} )is \: equivalent \: to \: {h}^{2}\pi(r - \frac{h}{3} ) = v: \\ = > {h}^{2}\pi(r - \frac{h}{3} ) = v \\ \\ Divide \: both \: sides \: by \: \pi {h}^{2} : \\ = > r - \frac{h}{3} = \frac{v}{\pi {h}^{2} } \\ \\ Add \: \frac{h}{3} \: to \: both \: sides: \\ = > r = \frac{h}{3} + \frac{v}{\pi {h}^{2} }$

7 0

2 years ago

Jack has two more than half as many cups as

Rufina [12.5K]

Step-by-step explanation:

$(x \div 2 + 2) + \frac{(x \div 2 + 2)}{2} + x$

its hard to determine without the known value of x, but the above would be the equation needed to solve it if you knew what x was

4 0

3 years ago