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lesantik [10]
1 year ago
15

Solve for X. Please solve this.

Mathematics
1 answer:
Alika [10]1 year ago
3 0

Answer:

32

Step-by-step explanation:

Opposite angles are congruent, so Angle <em>BAC</em> is 58 degrees.

Line KL and FG are perpendicular (forms a 90 degree angle), so Angle ABC is 90 degrees.

Points ABC form a triangle, and the interior angles of a triangle must add up to 180 degrees.

Thus, 58 + 90 + Angle <em>BCA</em> = 180. Solving for BCA, we get 32 degrees. Since Angle GCJ is opposite to BCA, x is 32 degrees.

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Step-by-step explanation:

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3 years ago
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if line cd is perpendicular to line EF m angle ECH = (x+5) and m angle HCD = (3x-7) find each missing value x= ECH HCD GCF ECG G
valentinak56 [21]

Answer:

x = 23

ECH = 28

HCD = 62

GCF = 28

ECG = 152

GCD = 118

Step-by-step explanation:

Given

ECH = x + 5

HCD = 3x - 7

Solving (a): The value of x

Since CD is perpendicular to EF, then the following relationship exists

ECH + HCD = ECD

<em>Where ECD = 90° and DCF = 90°</em>

<em>Substitute values for ECH, HCD and ECD</em>

<em></em>

x + 5 + 3x - 7 = 90

Collect like terms

x + 3x = 90 + 7 - 5

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Divide both sides by 4

x = 23

Solving (b): The value of ECH

Given that

ECH = x + 5

Substitute 23 for x

ECH = 23 + 5

ECH = 28

Solving (c): The value of HCD

Given that

HCD = 3x - 7

Substitute 23 for x

HCD = 3 * 23 - 7

HCD = 69 - 7

HCD = 62

Solving (d): Solving GCF

GCF and ECH are opposites

Hence,

GCF = ECH = 28

Solving (e): The value of ECG

ECG + ECH = 180

Make ECG the subject of formula

ECG = 180 - ECH

Substitute 28 for ECH

ECG = 180 - 28

ECG = 152

Solving (f): The value of GCD

GCD = GCF + DCF

Recall that DCF = 90 and GCF = 28

GCD = 90 + 28

GCD = 118

3 0
3 years ago
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