Can someone help me with this??? Please I don’t understand
2 answers:
Answer:
∠A= 111.75°
Step-by-step explanation:
Please see the attached picture.
∠B +∠C= 180° (adj ∠s on a str. line)
(x +35)° +∠C= 180°
∠C= 180° -(x +35)°
∠C= 145° -x°
∠A= ∠C (corr. ∠s)
∠A= 145° -x°
Given that ∠A is (3x +12)°, equate this expression to the expression we found.
145° -x°= 3x° +12°
3x° +x°= 145° -12°
4x°= 133°
x°= 133° ÷4 <em>(÷4 on both sides)</em>
x°= 33.25°
Substitute the value of x back into the expression for ∠A:
∴∠A= 3(33.25°) +12°
∠A= 111.75°
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Complete question is attached.
Answer:
B) 8
Step-by-step explanation:
In this question, KLMN ~ PQRS. This means they are similar shapes.
From the image, we could denote that:
KL ~ PQ
LM ~ QR
Given that:
KL = 12
PQ = 30
QR = 20
LM = x
To find x, let's use tge expression:
Cross multiplying, we have:
12 * 20 = 30x
240 = 30x
To find x, let's divide both sides by 30.
8 = x
x = 8
The correct option is option B.
