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nikklg [1K]
3 years ago
13

Find the value of each variable please help​

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0

Answer:

I can't see the picture

Step-by-step explanation:

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1. In circle o, chord AB and tangent CAD are drawn. It is known that mAB=116 . Find each of the
meriva

Given:

m(ar AB) = 116°

To find:

1. The measure of arc BEA.

2. The measure of ∠CAB

3. The measure of ∠BAD

Solution:

1. The measure of arc of full circle is 360°.

m(ar AB) + m(ar BEA) = 360°

116° + m(ar BEA) = 360°

Subtract 116° from both sides.

m(ar BEA) = 244°

2. Using the tangent-chord angle theorem:

$\Rightarrow m\angle CAB = \frac{1}{2} m(ar \ AB)

$\Rightarrow m\angle CAB = \frac{1}{2} \times 116^\circ

⇒ m∠CAB = 58°

3. Using the tangent-chord angle theorem:

$\Rightarrow m\angle BAD = \frac{1}{2} m(ar \ BEA)

$\Rightarrow m\angle BAD = \frac{1}{2} \times 244^\circ

⇒ m∠BAD = 122°

Using the fact that it is supplementary to ∠CAB.

⇒ m∠CAB + m∠BAD = 180°

⇒ 58° + m∠BAD = 180°

Subtract 58° from both sides.

⇒ m∠BAD = 122°

4 0
3 years ago
Is the statement below always, sometimes, or never true? Give 2 examples to support. LCM of two numbers is the product of the tw
spayn [35]
The statement below is sometimes true. An example of this is with 1 and 2. Their lowest common multiple is 2 and 1 times 2 is 2. So, that's correct. Another example of this is with 2 and 4. Their lowest common multiple is four and 2 times 4 is 2 so that's not always right.
6 0
3 years ago
Read 2 more answers
How do i find X in an equilateral triangle?
german

Answer:

Use the given length of a different side of the triangle to determine the value of x if x is the length of one side. Every side of an equilateral triangle is the same. Multiply the length of one side of the triangle by three to find the value of x, if x is the triangle's perimeter.

3 0
4 years ago
Hailey paid $13 for 1 3/7 kg of sliced salami<br> whats the cost per kg of salami?
hodyreva [135]

Answer:

if she paid $13 for

1 \frac{3}{7}

she actually paid

\frac{7}{7}  +  \frac{3}{7}  =  \frac{10}{7}

so 13÷10=1.3$ per kg

hope it's right and hope I helped

8 0
3 years ago
Solve the inequality- 2x + 3 ≤ 5
suter [353]
the answer would be -1
5 0
3 years ago
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