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Juli2301 [7.4K]
3 years ago
6

A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 18 ) ∘ ∠A=(2x+18) ∘ and m ∠ B = ( 6 x + 8 ) ∘ ∠B=(6x+8) ∘ , then fi

nd the measure of ∠ B ∠B
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

<B = 56 degrees

Step-by-step explanation:

The sum of two complementary angle is 90 degrees

Hence <A + <B = 90

2x++18 + 6x + 8 = 90

8x + 26 = 90

8x = 90-26

8x = 64

x = 64/8

x = 8

Get <B

<B = 6x+8

<B = 6(8) + 8

<B = 48+8

<B = 56 degrees

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Frankie wants to build a path from one corner of his hard to the opposite corner his yard measures 20ft x 32ft what will be the
Papessa [141]

Answer:

37.7 feet

Step-by-step explanation:

Given that:

Measurements of Frankie's yard = 20ft x 32ft

He wants to build a path from one corner to another.

To find:

The length of path = ?

Solution:

Let us consider a rectangle ABCD as shown in the attached image in the answer area.

We are given the two adjacent sides of a rectangle and we have to find diagonal of the rectangle.

To find the diagonal, we can use the Pythagorean Theorem.

We are given the base and perpendicular of the right angled triangle and we have to find the hypotenuse.

According to Pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}

Diagonal = 20^2 + 32^2\\\Rightarrow Diagonal = 400 + 1024\\\Rightarrow Diagonal = \bold{37.7\ ft}

4 0
3 years ago
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jarptica [38.1K]
It’s the first one!! :)))
8 0
3 years ago
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Two similar prisms have heights 4 cm and 10cm what is the ratio of their surface areas
Slav-nsk [51]
Let k be the scale factor relating two similar prisms P_{1} and P_{2}, such that for corresponding parts of prisms P_{1} and P_{2} (for heights, in particular) we have k= \frac{height\  of \ P_{1} }{height \ of\  P_{2} }. In our case k= \frac{4}{10} = \frac{2}{5}.
For surfaces area we have \frac{Surface \ area \ of \  P_{1} }{Surface \ area \ of \  P_{2}} = k^{2} =( \frac{2}{5} )^{2}= \frac{4}{25}.
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4 0
3 years ago
A group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 h
RideAnS [48]

Answer:

264.

Step-by-step explanation:

Let x represent the number of trout in the lake.

We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.

Using proportions, we will get:

\frac{\text{Total trouts}}{\text{Tagged trouts}}=\frac{48}{22}

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\frac{x}{121}*121=\frac{48}{22}*121

x=\frac{24}{11}*121

x=24*11

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Therefore, there would be approximately 264 trout in the lake.

8 0
3 years ago
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How will the volume of a prism change if its height is multiplied by a scale factor of 4?
Fynjy0 [20]

Answer:

It will double in size, as M x M x M x M  is simply just 3 changeable values. When we change 4 numbers of a prism (3 changed values ) to all 4 we have a S4 value to the volume, But we didnt do this, applying x 4 to either measurement it can only increase the volume by x 2. We had a one change value SF4 so we have SF 2= double. That means if we have two change value value SF4 we have 3 = 3 x total  increase, if we have a three input change by SF4 we can increase size to 4x total increase.    

Step-by-step explanation:

5 0
3 years ago
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