The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>
If the given quadratic expression is of the form 
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here:
brainly.com/question/26675692
I do not understand the question please clarify. Thank you.
Answer: 253.5
Step-by-step explanation:
Answer:
7.5%
Step-by-step explanation:
one year has 12 months...and <em>in</em><em> </em><em>one</em><em> </em><em>mo</em><em>nth</em><em> </em><em>the</em><em> </em><em>person</em><em> </em><em>saves</em><em> </em><em>2</em><em>0</em><em>0</em><em> </em>
<em>so</em><em> </em><em>in</em><em> </em><em>one</em><em> </em><em>yea</em><em>r</em><em> </em><em>it</em><em> </em><em>wi</em><em>ll</em><em> </em><em>be</em><em> </em><em>2</em><em>0</em><em>0</em><em>×</em><em>1</em><em>2</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>0</em><em>0</em>
<em>%</em><em>s</em><em>a</em><em>v</em><em>e</em><em>=</em><em>tota</em><em>l</em><em> </em><em>saves</em><em>/</em><em>tota</em><em>l</em><em> </em><em>earni</em><em>ng</em><em>×</em><em>1</em><em>0</em><em>0</em>
<em>=</em><em> </em><em>(</em><em>2</em><em>4</em><em>0</em><em>0</em><em>/</em><em>3</em><em>2</em><em>0</em><em>0</em><em>0</em><em>)</em><em>×</em><em>1</em><em>0</em><em>0</em><em> </em><em> </em><em>=</em><em> </em><em>7</em><em>.</em><em>5</em><em>%</em>
<em>I </em><em>hop</em><em>e</em><em> this</em><em> will</em><em> help</em><em>!</em>
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
