When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,
1 answer:
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Answer:
Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.
Step-by-step explanation:
The missing figure is attached.
You need to remember that:
1- A Transversal is defined as a line that intersects two or more lines.
2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:
a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.
b. Corresponding angles: are those pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.
In this case, you can identify in the figure that:
and
are Corresponding angles.
and
are Vertical angles.
Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.
Answer:
Option d. PQ = YZ
Step-by-step explanation:
<u><em>The question in English is</em></u>
Choose the most appropriate answer. The PQR triangle and the XYZ triangle are two congruent triangles. The angle P = the angle Y and PR = YX. Side pairs of the same length are ... a. PQ = XZ b. QR = YZ c. QR = XY d. PQ = YZ
we know that
If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent
Corresponding sides are named using pairs of letters in the same position on either side of the congruence statement
so
we have that
so
Triangle PQR is congruent with Triangle YZX
That means
<em><u>Corresponding angles</u></em>
<u><em>Corresponding sides</em></u>
Answer:
When x = 15, y= 2
When y= 10, x= 3
Step-by-step explanation:
This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.
We are to complete the table using the relationship between x and y.
Given:
y is inversely proportional to x = y ∝ 1/x
∝ = proportional to
y ∝ 1/x
y = k × 1/x
Where k = constant of proportionality
To understand the relationship between y and x, we need to find the value of k.
y = k × 1/x
From the table,
When x = 6, y = 5
5 = k × 1/6
5 = k/6
k = 6×5 = 30
y = 30 × 1/x
y = 30/x
The above relationship would enable us find the missing parts.
When x = 15, y= ?
y = 30/15
y = 2
When y= 10, x= ?
10 = 30/x
10x = 30
x = 30/10
x= 3
