Given the figure below, find the values of x and z.

Mathematics

1 answer:

zysi [14]2 years ago

7 0

Answer:

x= 2

z = 106

Step-by-step explanation:

By the definition of vertically opposite angles,

(10x + 54)° = 74° [Pair of opposite angles made by two intersecting lines]

10x = 74 - 54

10x = 20

x = 2

z° + 74° = 180° [Pair of supplementary angles]

z = 180 - 74

z = 106

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pav-90 [236]

$\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{unit}{cost}&\stackrel{total}{value}\\
&------&------&------\\
Raisins&11&2.30&25.3\\
Peanuts&p&4.50&4.5p\\
------&------&------&------\\
mixture&m&3.29&3.29m
\end{array}$

we know that, the mixture amount is the sum of 11 + p, or 11 + p = m.

we also know that, the total value is also a sum of 25.3 + 4.5p = 3.29m.

$\bf \begin{cases}
11+p=\boxed{m}\\
25.3+4.5p=3.29m\\
----------\\
25.3+4.5p=3.29\left( \boxed{11+p} \right)
\end{cases}
\\\\\\
25.3+4.5p=36.19+3.29p\implies 1.21p=10.89\implies p=\cfrac{10.89}{1.21}
\\\\\\
p=\stackrel{lbs}{9}$

5 0

3 years ago

Does anyone know this answer

pochemuha

Pls. see attachment.