Coffee Shop PricesCup CostSmall $2Regular $4Large $5David and Jon are placing coffee orders for their friends.David orders 10 la
1 answer:
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The value of x is 27°.
Solution:
Given .
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Answer:
see explanation
Step-by-step explanation:
(a)
= 1 ( any value divided by itself = 1 )
(b)
= a ( any value divide by 1 is the value itself )
(c)
×
=
The product of 2 fractions is the product of the numerators divided by the product of the denominators
(d)
÷
=
To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is
÷
=
×
=
(e)
+
=
Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also
(f)
-
=
See explanation for part (e)