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Alona [7]
3 years ago
8

Find the sum of ∠BCD and ∠SBT in terms of x.

Mathematics
2 answers:
AleksAgata [21]3 years ago
4 0
Let's\ \angle TCB=y^o\\\\\angle SBT\ is\ the\ exterior\ angle\ of\ \Delta TCB,\ therefore\ |\angle SBT|=x^o+y^o.\\\\|\angle\ BCD|\ +\ y^o=180^o-angles\ on\ one\ side\ of\ a\ straight\ line\\\\|\angle BCD|=180^o-y^o\\\\therefor\\\\\angle SBT+\angle BCD=x^o+y^o+180^o-y^o=x^o+180^o\\\\\boxed{Answer:\angle SBT+\angle BCD=x^o+180^o}
skad [1K]3 years ago
4 0
Hello,

If we draw the parallele of AB passing through B
<span>∠SBT=x+x=2x
</span><span>∠BCT=x ==></span><span>∠BCD=180°-x
</span>
∠SBT+<span>∠BCD=2x+180°-x=180°+x

</span>
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Yolanda participated in a walkathon in which each kilometer walked raised $10 for charity. Her goal was to raise more than $300
KiRa [710]

Answer:

B

Step-by-step explanation:

She needed to raise at least $250

$250 divided by $10 equals 25 km

So she need more than 25km to raise over $300

3 0
3 years ago
5b 2 −6b−2 is prime TURE OR FALSE!! 100 POINTS PLEASE HELP!!!!
Ivan

The given quadratic expression; 5b² -6b -2 is prime because the discriminant is not a perfect square.

<h3>What is the discriminant of the expression?</h3>

According to the task content; it is required to identify if the expression is prime.

On this note, it follows that the discriminant of the expression can be evaluated as follows;

= 36 -(4× 5 × -2)

= 76.

Hence, the expression is prime since 76 is not a perfect square.

Read more on discriminant;

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6 0
2 years ago
Find the angles marked with letters. <br>Please help!! ​
Paladinen [302]
A=34°
B=76°
C and d = 70°
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a+b+c=180
76+34=110
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3 0
2 years ago
A town has three roads that form an obtuse triangle. James wants to set up a refreshment stand so that the shortest distance fro
GarryVolchara [31]
He should set up the refreshment stand on the incenter of the obtuse triangle. The incenter of a triangle is described as the intersection between the angle bisectors of a triangle. The inradius are the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal. The inradius is depicted as the radius of an inscribed circle in the triangle. Therefore, the shortest equal distance from his stand to each road is C. on the incenter.
4 0
3 years ago
Please answer I will mark u brainliest or wtv its called
Lelu [443]

Answer:

B) 10 cm

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to solve for the hypotenuse.

Formula: a^2 + b^2 = c^2

  • a = leg
  • b = leg
  • c = hypotenuse

We can plug in the values for each leg to solve for the hypotenuse.

<h3>Solve for c</h3>
  • a^2 + b^2 = c^2
  • 6^2 + 8^2 = c^2
  • 36 + 64 = c^2
  • 100 = c^2
  • \sqrt{100} = \sqrt{c^2}
  • 10 = c

The answer is Option B: 10 cm

5 0
2 years ago
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