Answers
Answer:
UT = TW + WU = 27 + 27 = 54
WT = 27
ST = UT = 54
arc(XT) = angle XZT = 52 degrees
arc(ST) = angle SZT = 104
arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208
I know it was super drawn out and there were probably quicker ways to do it, but I was justusing methods that came to mind rather than going for efficiency. let me know if any part is confusing.
Step-by-step explanation:
Let's start by just building on what we know
Since we know sv and vz can be made into the side of two triangles, SZV and TZV, we can use some similar triangle rules.
In SZV and TZV we know SZ = TZ since they are both radii, ZV = ZV because they are the same line and angle ZVS = angle ZVT since they are supplementary and one is 90 degrees. This allows us to solve and see if they are congruent or not. To do so we use the normal trig functions
sin(ZTV) = ZV/ZT = ZV/12
sin(ZSV) = ZV/SV = ZV/12
So the angles could be equal, but just to be sure lets look at all possible answers. with sine an angle x gives the same result as 180-x. Since both angles are acute thugh we know this can't be true so both angles are equal. Now we can say both triangles are congruent by AAS. Since they are congruent we can then confirm SV = VT.
In general you can say if a radii intersects a chord at a right angle then the intersection is a bisection. So now we know VT = 27
We can use similar methods to show UW = WT and if you made two triangles ZWT and ZWU you will see they are congruent. and since arc UT is 104 degrees that means angle UZT is 104 degrees. Since ZW bisects UT and the two triangles are congruent ZW also bisects angle UZT so UZW = TZW = 52 degrees.
Now we have 4 triangles, SZV, TZV, ZWT and ZWU and we know SZV and TZV are congruent and ZWT and ZWU are congruent. Now, if we can make one from each pair congruent we would knwo all four are congruent. Since TZV and ZWT share a side that's a good place to start. Looking at these two triangles we know those two sides are equal, and they both have a right angle. Also we know VZ = ZW fromt he instructions, so this is again a chance to check with trig.
Let's look at angle ZTW and ZTV.
sin(ZTW) = ZW/ZT = 27/ZT
sin(ZTV) = VZ/ZT = 27/ZT
Using the same reasoning as before we can say that the two angles are equal, so the two triangles are congruent. Now we can say a lot.
angle UZT = angle SZT = 104 degrees
angle SZV = angle VZT = angle TZW = angle WZU = 52
SV = VT = TW = WU = 27
Let's start solving.
UT = TW + WU = 27 + 27 = 54
WT = 27
ST = UT = 54
arc(XT) = angle XZT = 52 degrees
arc(ST) = angle SZT = 104
arc(US) = arc(ST) + arc(UT) = 104 + 104 = 208
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
If m is any integer, then gcd(a + m⋅b, b) = gcd(a, b). If m is a positive common divisor of a and b, then gcd(a/m, b/m) = gcd(a, b)/m. The GCD is a multiplicative function in the following sense: if a1 and a2 are relatively prime, then gcd(a1⋅a2, b) = gcd(a1, b)⋅gcd(a2, b). Factoring out the GCF is the first step in many factoring problems. Step 1: Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Step 2: Factor out (or divide out) the greatest common factor from each term.
Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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e) 7 > -11
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Volume of cube = side³
64 = side³
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
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Answer:
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Step 1: Define
[tex]\displaystyle \frac{4^{-4}}{4^{-8}}[/tex]
Step 2: Rewrite
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
To find how much each vitamin costs we can divide $5.25 by 150.
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I think the answer is nine but I’m not sure how to explain how I got my answer
Answers
Answer:
ur answer is right it is 9
Step-by-step explanation:
NOTE: divide the number 36 with 4 and u will get 9
GOOD JOB
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
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Answers
Answer:
[tex]35 + 4x > 67[/tex]
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Step-by-step explanation:
She has already run 35 miles and runs 4 miles per day:
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Tammy must run more than 67 miles total to reach her fitness goals.
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[tex]D(x) > 67[/tex]
[tex]35 + 4x > 67[/tex]
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[tex]35 + 4x > 67[/tex]
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Answers
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Step-by-step explanation:
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Answers
Answer:
2777 times
Step-by-step explanation:
You can choose to convert however you like, as long as you divide when they have the same units.
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What is speed?Speed is the measure of how quickly an object travels a certain distance. It is defined as the distance traveled by an object divided by the time taken to travel that distance.
The unit of speed is typically meters per second (m/s) or kilometers per hour (km/h), although other units may also be used depending on the context.
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C = 2π(36) cm ≈ 226.19 cm
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Therefore, the stone will hit the ground approximately 442 times when the car travels a distance of 1 kilometer.
To know more about speed follow
https://brainly.com/question/30965512
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Answers
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Step-by-step explanation:
See the attached image.
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Answers
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Answers
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
To find 20% of 8, multiply 8 by 0.2
8(0.2)
= 1.6
So, 20% of 8 is 1.6
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Answers
Answer:
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Step-by-step explanation:
Please mark as brainliest
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation: