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just olya [345]
3 years ago
11

Please answer it now in two minutes

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

m∠C = 90°

Step-by-step explanation:

Triangle BDC is a right triangle with the measure of angle D = 90°

By applying Cosine rule in the given triangle,

Since, Cosine of any angle in a right triangle is a ratio of Its adjacent side and Hypotenuse (Opposite side of the right angle)

CosC = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

CosC = \frac{\text{DC}}{\text{BC}}

CosC = \frac{7}{8}

C=\text{Cos}^{-1}(\frac{7}{8})

C = 28.955

C = 29°

Therefore, m∠C = 29° will be the answer.

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Replace n with the value given, 3 (remember 4n means 4 times n):
9 + 4*3 - 1
Then work it out using arithmetic
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Write the following expression with as few symbols as possible, using the notational conventions:
My name is Ann [436]

Answer:

The simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

Step-by-step explanation:

The expressions provided are:

(i)\ x+((y\times (z')) +t)\\\\(ii)\ x\times((x+(y'))+z)

(i)

Simplify the first expression with as few symbols as possible:

x+((y\times (z')) +t)=x+(yz'+t)

                              =x+yz'+t

(ii)

Simplify the second expression with as few symbols as possible:

x\times((x+(y'))+z)=x\times ((x+y')+z)

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6 0
3 years ago
Given: circle k(O) m∠R = (12x+1)mFP = (11x+7) mPQ= 60Find: mFP
zhannawk [14.2K]

Answer:

62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

m∠R = mFQ / 2

The arc FQ is the sum of the arcs FP and PQ, so we have:

mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67

Now, with the first equation, we have:

12x + 1 = (11x + 67) / 2

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So we have that mFP = 11x + 7 = 55 + 7 = 62°

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2 years ago
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