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2 years ago

In Circle Q, what is m Hint: It's not 66.

Mathematics

1 answer:

luda_lava [24]2 years ago

6 0

Answer:

Step-by-step explanation:

The two angles are vertical angles so the angle opposite angle 1 is the same as angle 1 . We will call it angle 1 as well

<1 + <1 + 114 = 180 because it forms a semi circle

2 <1 + 114 = 180

Subtract 114 from each side

2 <1 = 180-114

2 <1 = 66

Divide each side by 2

<1 = 66/2

<1 = 33

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2x^2−10xy+3xy−15y^2<br><br> factor by grouping

Diano4ka-milaya [45]

2x²-10xy+3xy-15y²

Add like terms.

2x²+ (-10xy+3xy) -15y²

Simplify.

2x² + (-7xy) - 15y²

Rearrange the equation.

2x²-15y²-7xy

~Hope I helped~

8 0

2 years ago

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How does claiming more allowances on a W-4 form affect the deductions on a paycheck?

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3 years ago

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Miss penny inherits £650. She decides to save some of the money and spend the rest. The ratio of saving to spending money is 9:4

blsea [12.9K]

Answer:

Saving=£450

Spent=£200

Step-by-step explanation:

Ratio of saving to spending is 9:4

She inherits £650

So to determine her saving

It will be

9+4=13

Since her saving is 9

So, 9/13 × 650

5850/13

=450

So her saving is£450

To determine what she spent

4/13 × 650

2600/13

200

Saving=£450

Spent=£200

3 0

2 years ago

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the first term of an arithmetic sequence is 2 and the sum of the first 15 terms is 292.5. Find the common difference

adelina 88 [10]

Given:

First term of an arithmetic sequence is 2.

Sum of first 15 terms = 292.5

To find:

The common difference.

Solution:

We have,

First term: $a=2$

Sum of first 15 terms: $S_{15}=292.5$

The formula of sum of first n terms of an AP is

$S_n=\dfrac{n}{2}[2a+(n-1)d]$

Where, a is first term and d is common difference.

Putting $S_{15}=292.5$ , n=15 and a=2 in the above formula, we get

$292.5=\dfrac{15}{2}[2(2)+(15-1)d]$

$292.5=\dfrac{15}{2}[4+14d]$

$292.5=15[2+7d]$

Divide both sides by 15.

$\dfrac{292.5}{15}=2+7d$

$19.5=2+7d$

$19.5-2=7d$

$17.5=7d$

Dividing both sides by 7, we get

$\dfrac{17.5}{7}=d$

$2.5=d$

Therefore, the common difference is 2.5.

8 0

2 years ago

Find the volume of a hexagonal pyramid with a base area of 147 square meters and a height of 4 meters.(1 point) 294 cubic meters

irina1246 [14]

Answer:

Volume of a hexagonal pyramid = 588 square meter

Step-by-step explanation:

Given:

Base area of hexagonal pyramid = 147 square meter

Height of hexagonal pyramid = 4 meter

Find:

Volume of a hexagonal pyramid

Computation:

Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid

Volume of a hexagonal pyramid = 147 x 4

Volume of a hexagonal pyramid = 588 square meter

7 0

2 years ago