Answer:
X = 10
Step-by-step explanation:
the triangles are similar meaning one is smaller we have all the sides on the smaller one
10 to 25 is a 2.5 increase
so 4 x 2.5 = 10
Answer:
They will be 5 miles apart in 1 hour
Step-by-step explanation:
Here, we want to calculate the time it will take for the two ferries to be 5 miles apart
Mathematically; distance = speed * time
Let the number of hours be x
In x hours, the cat will have traveled 34 * x = 34x miles
In x hours, the Bird will have traveled 29 * x = 29x miles
So;
34x - 29x = 5
5x = 5
x = 5/5
x = 1 hour
Opposite angles in a parallelogram have equal measure.
The measure of angle TUV is 78 degrees
The given parameters are:


Start by calculating angle RSV.
--- angles in a triangle
So, we have:


Subtract 102 from both sides

Angles RSV and TUV are corresponding angles.
So, we have:

Rewrite as:

Hence, the measure of angle TUV is 78 degrees
Read more about parallelograms at:
brainly.com/question/12186483
By inclusion/exclusion,

We have

so that

Now,

and by inclusion/exclusion,

Decompose
into the union of two disjoint sets:

Since they're disjoint,




From the Venn diagram, we see there are 3 elements unique to
- by the way, this is the set
- so
, and it follows that

Finally, we get for (a)

For (b), we have by inclusion/exclusion that

Answer:
15
Step-by-step explanation:
<em>here's </em><em>your</em><em> solution</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>Both </em><em>the </em><em>traingle</em><em> </em><em>are </em><em>similar</em><em> </em><em>hence </em><em>,</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>it's</em><em> </em><em>corresponding</em><em> </em><em>sides</em><em> </em><em>are </em><em>in </em><em>equal </em><em>ratio</em>
<em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>so,</em><em>8</em><em>/</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>6</em><em>/</em><em>y </em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>8</em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>0</em><em>*</em><em>6</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>y=</em><em> </em><em>2</em><em>0</em><em>*</em><em>6</em><em>/</em><em>8</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>></em><em> </em><em>y </em><em>=</em><em> </em><em>1</em><em>5</em>
<em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>