Answer:
There are 2 ters because you would distribute the 19 to the a and the b to make it 19a + 19b, which has 2 terms
Answer:
Step-by-step explanation:
From the picture attached,
∠4 = 45°, ∠5 = 135° and ∠10 = ∠11
Part A
∠1 = ∠4 = 45° [Vertically opposite angles]
∠1 + ∠3 = 180° [Linear pair of angles]
∠3 = 180° - ∠1
= 180° - 45°
= 135°
∠2 = ∠3 = 135° [Vertically opposite angles]
∠8 = ∠5 = 135° [Vertically opposite angles]
∠5 + ∠6 = 180° [Linear pair of angles]
∠6 = 180° - 135°
∠6 = 45°
∠7 = ∠6 = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠4 + m∠7 + m∠10 = 180°
45° + 45° + m∠10 = 180°
m∠10 = 180° - 90°
m∠10 = 90°
m∠10 = m∠12 = 90° [Vertically opposite angles]
m∠10 = m∠11 = 90° [Given]
Part B
1). ∠1 ≅ ∠4 [Vertically opposite angles]
2). ∠7 + ∠5 = 180° [Linear pair]
3). ∠9 + ∠10 = 180° [Linear pair]
X= number of nickels
3x= number of dimes
Each nickel is $0.05 and each dime is $0.10. Multiply each coins monetary value by the quantity of each. Add them equal to the total $9.10.
(0.05 * x) + (0.10 * 3x)= 9.10
multiply inside parentheses
0.05x + 0.3x= 9.10
add
0.35x= 9.10
divide both sides by 0.35x
x= 26 nickels
DIMES
3x= 3(26)= 78 dimes
CHECK:
(26 nickels * 0.05) + (78 dimes * 0.10)= 9.10
$1.30 + $7.80= $9.10
$9.10= $9.10
ANSWER: There are 26 nickels and 78 dimes.
Hope this helps! :)
Answer:
X = 38°
Step-by-step explanation:
There is a therom angles subtended on the remaining part are equal in magnitude
(1,18), (18,1), (2,9), (9,2), (3,6), and (6,3)
