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Eddi Din [679]
3 years ago
5

How would I do all of these problems

Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
All you have to do is figure out the bases of the figure and use the 12 and 13 in your problems and you should be able to get the right answer.
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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

4 0
1 year ago
Given: AB = 4 AC = 6 What point is in the interior of both circles? H. A. B.
AleksAgata [21]

Answer:

Point A is in the interior of both circles

Step-by-step explanation:

<u><em>Verify each point</em></u>

we know that

Point H is in the interior of greater circle but is outside smaller circle

Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle

Point B is on the smaller circle and is in the interior of greater circle

therefore

Point A is in the interior of both circles

5 0
3 years ago
A cube with side length 4 centimeters is 25% full of sand. What is the volume of sand
earnstyle [38]
First, find the volume of the whole cube
Volume of cube = 4 x 4 x 4 = 64 cm³

The volume of sand is 25% of the volume of cube so,
Volume of sand = 25/100 x 64 = 16 cm³
4 0
3 years ago
Find the volume of the following figure using unit cubes.
krok68 [10]

Answer:

<h2>        64 units³</h2>

Step-by-step explanation:

2 units × 4 units × 8 units = 64 units³

5 0
3 years ago
Sam bought two CDs for $13 each. Sales tax for both CDs was $3. Write an expression to show how much Sam paid in all.
gizmo_the_mogwai [7]
Let's see...
13x2+2x3

is it good?
8 0
3 years ago
Read 2 more answers
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