Mathematics, 31.05.2020 03:59 nehemiahj85

Need help can anyone help me???

Answers: 2

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Answer from: yo2lo15

it is greater than 45°

Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

m∠GSO = (long arc GO -arc GT)/2

Solving for (long arc GO), we have ...

2(m∠GSO) +arc GT = (long arc GO)

We know that (long arc GO) > 180°, so we can write ...

2(m∠GSO) +90° > 180° . . . . arc GT = 90°

2(m∠GSO) > 90° . . . . . . subtract 90°

m∠GSO > 45° . . . . . . . . divide by 2

Alternate solution

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

Answer from: Quest

a 4/6 = 9/12 not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional. if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional

b 2/3 = 12/18

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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