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Tanya [424]
3 years ago
14

Angle 1 and angle 2 are complementary angles. The measure of angle 1 is 58°. The measure of angle 2 is 2x°. Find the value of x

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

Answer:

2x+58+x=180  180-58=3x    122=3x  

Step-by-step explanation:

x=40.666

*the sum of the angles of the triangle is 180 degrees

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In the figure, AB║CD and ∠EIA is congruent to ∠GJB Complete the following statements to prove that ∠IKL is congruent to ∠DLH.
REY [17]

Here it is given that AB || CD

< EIA = <GJB

Now

∠EIA ≅ ∠IKC and ∠GJB is ≅ ∠ JLD (Corresponding angles)

∠EIA  ≅ ∠GJB then ∠IKC ≅ ∠ JLD (Substitution Property of Congruency)

∠IKL + ∠IKC 180° and ∠DLH +  ∠JLD =180° (Linear Pair Theorem)

So

m∠IKL + m∠IKC = 180°       ....(1)

But ∠IKC  ≅ ∠JLD

m∠IKC = m∠JLD (SUBTRACTION PROPERTY OF CONGRUENCY)

So we have

m∠IKL + m∠JLD = 180°

∠IKL and ∠JLD are supplementary angles.

But ∠DLH and ∠JLD are supplementary angles.

∠IKL ≅ ∠DLH (CONGRUENT SUPPLEMENTS THEOREM)

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3 years ago
Read 2 more answers
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If 3cm is the radius and 14cm is the height, the volume would be 131.95cm^3. In terms of pi it would be 9pi(14/3).
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3 years ago
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3 years ago
0.15% of what number is 10.5?
mario62 [17]

Answer:

67667.7

Step-by-step explanation:

let the number= Y

the question simply means that 0.15 percent of Y which give 10.5

so, let find Y:

0.15% of Y 10.15

<h3>Stating the mathematical equation</h3>

0.15/100×y = 10.15

0.0015y= 10.15

divide bothsides by 0.0015

0.0015y/0.0015= 10.15/0.0015

y=6766.66

y= 6766.7 approximately

<h3>therefore, 0.15% of 6766.7 is 10.5</h3>
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3 years ago
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USPshnik [31]
The median is 82
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