Answer:
m∠ABD = m∠CBE ⇒ by subtracting a common angle from the given angles
Step-by-step explanation:
∵ m∠ABE = m∠CBD
∵ m∠ABD = m∠ABD + m∠DBE
∵ m∠CBD = m∠CBE + m∠EBD
∵ ∠EBD is common angle between them
∴ m∠ABD = m∠CBE
Kevin sold 10 pounds of apples and 20 pounds of raspberries.
Step-by-step explanation:
Given,
Cost per pound of apples = $3.50
Cost per pound of raspberries = $4
Total amount earned = $115
Let,
x represent the pounds of apples sold
y represent the pounds of raspberries sold
According to given statement;
3.50x+4y=115 Eqn 1
y = 2x Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 11.50
Putting x=10 in Eqn 2
Kevin sold 10 pounds of apples and 20 pounds of raspberries.
Keywords: linear equation, substitution method
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Answer:
The yield is 5.974%
Step-by-step explanation:
We proceed as follows ;
coupon rate = Annual coupon payment/bond face value.
The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%
mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87
mathematically;
current yield = Annual coupon payment/bond price
current yield = 29.87/500
= 0.05974 or simply 5.974%
so the answer is c. 5.6%
Step-by-step explanation:
Answer:
m<3 = 97
m<10 = 97
m<9 = 83
m<5 = 97
m<7 = 83
m<16 = 97
Step-by-step explanation:
m<3 = m<2 because of vertical angles
m<10 = m<2 because of corresponding angles
m<9 + 97 = 180
m<9 = 83
m<5 + 83 = 180
m<5 = 97
m<7 = m<6 because of vertical angles
m<16 = m<5 because of alternate exterior angles.
