The picture in the attached figure
we know that
a) <span>
∠1 and ∠5are congruent-----> by corresponding anglesb) </span>∠3 and ∠8------> supplementary angles (∠3 + ∠8=180°)
<span>are not congruent
c)</span>∠6 and ∠4------> supplementary angles (∠6 + ∠4=180°)
are not congruent
d) ∠8 and ∠2------> supplementary angles (∠8 + ∠2=180°)
are not congruent
e) ∠4 and ∠7-----> supplementary angles (∠4 + ∠7=180°)
are not congruent
Answer: $434, 306.4
Step-by-step explanation:
From the question,
P= $163,000
R= 14% ; 14/100= 0.14
T=7 years
From the formula,
A= Pr e^t
A= 163000e^0.14(7)
= 163000e^0.98
= $434,306.4
Answer:
800 square feet per minute
Step-by-step explanation:
We have:
in hungarian:
h = 150 words / min
in polish:
190 words / min
Let:
x: number of words in Hungarian.
y: number of words in Polish.
We have the following system of equations:
(1/150) * (x) + (1/190) * (y) = 5 y = x + 270
The solution is:
x = 300 words
y = 570 words
Therefore the time speaking in each language is:
in hungarian:
(1/150) * (300) = 2 min
in polish:
(1/190) * (570) = 3 min
Answer: in hungarian: 2 min in polish: 3 min
Answer:
The number of unsold cakes was 2
Step-by-step explanation:
<u><em>The question in English is</em></u>
In the school Francisco I. Madero of Ciudad Delicias, the celebration was held for commemorate the arrival of spring, after the parade the stalls were set up of the kermesse. The first grade group bought 8 cakes and sold 3/4 of the total.
How much of the cake was not sold?
Let
x ----> number of cakes sold
y ----> number of cakes that didn't sell
we know that
The first grade group bought 8 cakes
so
-----> equation A
The first grade group sold 3/4 of the total.
so
---> equation B
substitute equation A in equation B

Find the value of y


therefore
The number of unsold cakes was 2