Answer:
the first one : 3/4 ÷ 1/8 = 6
Step-by-step explanation:
remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.
like here
3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6
you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.
the other answer options are simply not true
1/8 ÷ 3/4 = 6
1/8 × 4/3 = 4/24 = 1/6 <> 6
6 ÷ 3/4 = 1/8
6/1 × 4/3 = 24/3 = 8 <> 1/8
6 ÷ 1/8 = 3/4
6/1 × 8/1 = 48 <> 3/4
Answer:
yes, it is a right triangle and ∡Q is the right angle
Step-by-step explanation:
if the slope of QR is the opposite reciprocal of QS then the two segments are perpendicular and form a 90° angle
slope of QR: -3 - (-1) ÷ 2 - 0 = -2 ÷ 2 = -1
slope of QS: -3 - (-1) ÷ 2 - 4 = -2 ÷ -2 = 1
-1 and 1 are opposite and reciprocal so m∡Q = 90°
P greater than or equal to -4
Answer: (3a + 1) (a + 3)
Step-by-step explanation:
<u>Concept:</u>
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
<u>Solve:</u>
Given = 3a² + 10a + 3
<em>STEP ONE: separate 3a² into two terms</em>
3a
a
<em>STEP TWO: separate 3 into two terms</em>
3
1
<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
AA similarity
Step-by-step explanation:
Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.
Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.
