The ratio of an object's weight on Earth to its weight on Venus is 8:7. How much would a woman who weighs 120 pounds (lbs) on Earth weigh on Venus?

Answer:

angle RUS = 65 degrees

angle STU = 90 degrees

Step-by-step explanation:

(a) find angle RUS

Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees

Since US is the diameter,

angle URS is a right-angle.

Consider triangle RUS,

sum of angles of a triangle = 25+90+RUS = 180  

solve for

RUS = 180 - 25 - 90 = 65 degrees.

(b) Find STU

All diameters span a right angle at the circumference,

since we're given US is a diameter, this means that

angle STU is a right angle.

The measure of the ∠RUS is 65°, while the measure of ∠UST is 15°.

The angle ABC is a right angle if A, B, and C are different points on a circle where the line AC is a diameter, according to Thales' theorem.

We know that when an angle is made by the diameter of a circle at its circumference, then the measure of that angle is 90°.

In ΔUST,

The angle made by the diameter is ∠UST, therefore, the measure of this angle will be 90°. Since the measure of the arcRU=50°, therefore,

arcRU = ∠ROU = 50°, Also,

[tex]\angle RSU=\dfrac{\angle ROU}2 =\dfrac{50^o}2 = 25^o[/tex]

Now, the sum of the angles of a triangle is 180°.

∠R+∠U+∠S=180°

90°+∠RUS+25°=180°

∠RUS = 65°

In ΔRUS,

The angle made by the diameter is ∠URS, therefore, the measure of this angle will be 90°. Since the measure of the arcUT=30°, therefore,

arcUT = ∠UOT = 30°, Also,

[tex]\angle UST=\dfrac{\angle UOT}2 =\dfrac{30^o}2 = 15^o[/tex]

Thus, the measure of the ∠RUS is 65°, while the measure of ∠UST is 15°.

Learn more about Thale's Theorem:

https://brainly.com/question/14417137

Answer:

7?

Step-by-step explanation:

72/10 squares = about 7

Answer:

The first one is proportional and the second one is not. Because for the first one you can see that if you divide the number of pens by the cost you'll get the same answer for every single one. But for the second one if you divide the number of minutes by words typed you get a different answer for each one. You can also see if it's proportional or not if you draw it on the graph and it's a straight line. If it is the relationship is proportional if it isn't it's not proportional. Hope that makes sense :)

Determine whether the relationship between the two quantities shown in the table or graph is linear. If so, find the constant rate of change. If not, explain your reasoning.  1. SOLUTION:  Analyze the table. The rate of change from 5 hours to 8 hours is  or 3 cents per hour. This is the same as therate of change from 8 hours to 12 hours,  or 3 cents per hour, and from 12 hours to 24 hours,  or 3 cents per hour. So, the rate of change is a constant 3¢ per hour. ANSWER:  Yes; the rate of change between cost and time for each hour is a constant 3¢ per hour. e i dont know if this is the answer to ur question but here u go

Step-by-step explanation: e i dont know if this is the answer to ur question but here u go

Answer:

69 centimeters squared

Step-by-step explanation:

First, find the area of the big square = 11cm * 4cm = 44cm

Next, find the area of the leftover square = 5cm * 5cm =25cm

Add them together to get 69 centimeters squared

Hopefully this helps - let me know if you have any questions!

Answer:

69 centimeters squared

Step-by-step explanation:

Answer:

14 meters²

Step-by-step explanation:

Since the formula to find the diameter is [tex]d=2r[/tex], we need to first find the radius, which can be [tex]r=\frac{\sqrt{A\pi}}{\pi}[/tex] if we take the formula for the area of a circle and isolate the radius. After simplifying [tex]r=\frac{\sqrt{153.86\pi}}{\pi}[/tex] to 7 and multiplying that by 2, we get the circle's diameter of 14 meters. Hope this helps!

Answer:

300

Step-by-step explanation:

6 x 5= 30, so just add one zero to 6 and add a zero to 30

Answer:

c

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

[tex]\frac{0.25}{0.75} =\frac{12}{x} \\[/tex]

[tex]0.75 *12=9[/tex]

[tex]\frac{9}{0.25} =36[/tex]

Answer:

x

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

Answer:

1) a. 15ft

b. 6ft

c. 30ft

2) a. 16m

b. 12m

c. 192m

answer for the 1st question:

1) length is 15 ft

2) width is 6ft

3) the area is 90 ft²

step-by-step explanation:

ok so we know that the plan is 2 in/6 ft

step 1-

we need to find the length of the terrace, and we know that the length of the terrace in the plan is 5 in

so by proportion- we'll need to find the length of the 'actual' terrace

2 in/ 6 ft= 5 in/ x ft

x=6*5/2

x=15 ft (we now have the length)

step 2-

now that we know the length, we need to find the width

the length of the terrace in the plan is 2 in

and by proportion- we'll find the 'actual' width of the terrace

2 in/6 ft=2 in/ x ft

x=6*2/2

x=6 ft

and now we'll find the area of the terrace (step 3)-

the formula for the area of a rectangle is a=lw or area=length*width

now we just fill the variables in with what we know-

so we know that 15 ft is the length and that 6 ft is the width-

15*6=90 ft²

**sorry about my original answer i didn't pay close enough attention**

good luck :)

i hope this helps

have a nice day !!

Answer:

The missing digit is 7

Step-by-step explanation:

Well the bottom part of the shape is 16, and if you take away the length of the part on top of it, which is nine, you would get 7

Answer:

what are the measures

Step-by-step explanation:

Answer:

1 a 2 b 3 d 4 c 5 c 6 b

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

If your looking for the slope-intercept from of each one then its:

1) [tex]\frac{4}{3} + 0[/tex] or [tex]\frac{4}{3}[/tex]

2) 0x + 5

3) [tex]\frac{3}{2}x - 3[/tex]

4) [tex]\frac{1}{5} x + 0[/tex] or [tex]\frac{1}{5} x[/tex]

5) x + 5 or 1x + 5

Hope this helped!

Answer:

4 4/9,4 and 5

Step-by-step explanation:

Answer:

$36.38

Step by step explanation:

First, we need to find out what 1% of $40 dollars is. To do this, we divide 40 by 100.

This gives us $0.40.

To then find out fifteen percent of $40, you then times $0.40 by 15.

This gives us 6 dollars.

Now, to work out the discount, we take 6 from 40.

$40 - $6 = $34

Now we have to work out the tax.

Again, we have to work out what 1% of $34 is.

This gives us $0.34

Then times that by 7 to find 7%

0.34 x 7 = $2.38

Since this is tax we have to add instead of subtracting.

$34 + $2.38 = $36.38 as the final bill.

Answer:

1.75

Step-by-step explanation:

97*1.5=169.75

Answer:

5) J:(-1,1) A:(-1,-3) I:(3,-2)

6) J:(0,0) M:(3,1) E:(0,-1) X:(5,0)

Step-by-step explanation:

5) x + 4, y - 4

6) x + 2, y + 3

Answer:

126 in²

Step-by-step explanation:

I will send you a photo that has the step by step explanation

Answer:

B,

Step-by-step explanation:

because you can have a great day