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3 years ago

75 POINTS Provide the missing reasons for the proof.

Mathematics

1 answer:

lidiya [134]3 years ago

8 0

Answer:

1. Given

2. definition of vertical angles

3. SAS triangle similarity theorem

Step-by-step explanation:

1. Given simply means the problem directly tells you it is true

2. Vertical angles are angles that share 2 lines and are congruent.

3. SAS triangle similarity theorem is the theorem that proves 2 triangles with a similar side, angle, and side (in that order) are similar.

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Circle P has a circumfrence of aproximately 75 inches what is the aproximate length of the radius, r? Use 3.14 for pi. Round to

ratelena [41]

Answer:

The approximate length of the radius, r is 12 inch.

Step-by-step explanation:

Given:

A circle P is given having circumference C,

C = 75 inch

pi = π = 3.14

radius = r

To Find:

radius = r = ?

Solution:

Circumference:

In geometry, the circumference (from Latin circumferens, meaning "carrying around") of a circle is the (linear) distance around it.

That is, the circumference would be the length of the circle if it were opened up and straightened out to a line segment.

Formula is given as

$Circumference=2\pi (radius)$

Substituting the values we get

75 = 2 × 3.14 × r

∴ $r =\frac{75}{2\times 3.14}\\ \\r=\frac{75}{6.28} \\\\r=11.942\ inches$

We approximate radius to

radius = 12 inich

7 0

3 years ago

Show the number 154 in two other ways

rewona [7]

Answer:

Step-by-step explanation:

one hundred fifty-four

2 * 7 * 11

2 * 77

7 * 22

11 * 14

$\sqrt{23,716}$

$\frac{308}{2}$

Not 100% sure what you're asking for, but all these will equal 154.

7 0

3 years ago

Solve for x using logs- <br><br> 2*7^x=17*3^x

horsena [70]

$2\cdot7^x=17\cdot3^x\ \ \ \ |\log\\\\\log(2\cdot7^x)=\log(17\cdot3^x)\ \ \ \ |use\ \log (x\cdot y)=\log x+\log y\\\\\log2+\log7^x=\log17+\log3^x\ \ \ \ |-\log2;\ |-\log3^x\\\\\log7^x-\log3^x=\log17-\log2\ \ \ \ |use\ \loga^n=n\log a\\\\x\log7-x\log3=\log17-\log2\\\\x(\log7-\log3)=\log17-\log2\ \ \ |use\ \log x-\log y=\log\dfrac{x}{y}\\\\x\log\dfrac{7}{3}=\log\dfrac{17}{2}\ \ \ \ |:\log\dfrac{7}{3}\\\\\boxed{x=\dfrac{\log\frac{17}{2}}{\log\frac{7}{3}}}$

8 0

3 years ago

10 POINTS!! PLEASE HELP

BigorU [14]

Answer:

Option 2: 2x + 2 = 72

Step-by-step explanation:

First odd: x

Next odd: x + 2

x + (x + 2) = 72

2x + 2 = 72

Because the difference between two consecutive odd numbers is 2.

e.g 3 and 5

6 0

4 years ago

Read 2 more answers

2.5k + 4 = 84

zalisa [80]

Answer:

2.5k=84-4

2.5k=80

k=80÷2.5

k=32

hope u like the ans

4 0

3 years ago