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erica [24]
3 years ago
14

I need to find a but I don’t know how to, could you please explain

Mathematics
1 answer:
Dafna1 [17]3 years ago
6 0

Answer:

87

Step-by-step explanation:

Given is a figure of cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

z° + 93° = 180°

z° = 180° - 93°

z° = 87°

z = 87

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The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Crazy boy [7]

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

6 0
3 years ago
two lines, r and m, are represented by the following equations: line r: 2x 2y = 18 line m: x y = 9 which statement is true about
Masja [62]
Line r is twice line m. i.e. r = 2s which means that they are linearly dependent.

Therefore there are infinitely many solution to the given set of equations.
6 0
3 years ago
Michael makes lemonade using a ratio of 10 cups of water to 1 cup of lemon juice. Which equation could be used to find c, the nu
Helga [31]

Answer:sdsjwjamsmsmqmqmamsmssmsmsm

Step-by-step explanation:jfwwfjwcjwddqqpqpweprproroelss,d,f,ff,f,

8 0
3 years ago
Need help here!!!!
natulia [17]

A true equation from these numbers can be:

82 ÷ 2 = 41 ÷ 2 = 20.5

Hope this helps!

5 0
3 years ago
Read 2 more answers
If ||M and M6 = 4X - 15 and m7 = x + 30 then m 6 =​
TEA [102]

Answer:

<h2>15</h2>

Step-by-step explanation:

∠6 and ∠7 are Alternate Interior Angles.

The lines l and m are parallel, therefore ∠6 and ∠7 are congruent.

m∠6 = m∠7 → 4x - 15 = x + 30        <em>add 15 to both sides</em>

4x = x + 45          <em>subract x from both sides</em>

3x = 45            <em>divide both sides by 3</em>

x = 15

8 0
4 years ago
Read 2 more answers
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