Answer:
MB = 26
Step-by-step explanation:
AM = 2x - 3
MB = 5x + 1
AB = 21 - (-12)
= 21 + 12
= 33
According to the question M is between A and B. So,
Value of MB = 5 × 5 + 1
= 25 + 1
= 26
Answer:
16/31 days
Step-by-step explanation:
Add up all the days: 15+10+6=31
Add up the days with no rain: 10+6=16
With no rain as numerator and total as denominator you get an answer of 16/31
Answer:
1.) Triangle ABC is congruent to Triangle CDA because of the SAS theorem
2.) Triangle JHG is congruent to Triangle LKH because of the SSS theorem
Step-by-step explanation:
Alright. Let's start with the 1st figure. How do we prove that triangles ABC and CDA (they are named properly) are congruent? First, we can see that segments BC and AD have congruent markings, so that can help us. We also see a parallel marking for those segments as well, meaning that the diagonal AC is also a transversal for those parallel segments. That means we can say that angle CAD is congruent to angle ACB because of the alternate interior angles theorem. Then, the 2 triangles also share the side AC (reflexive property).
So, we have 2 congruent sides and 1 congruent angle for each triangle. And in the way they are listed, this makes the triangles congruent by the SAS theorem since the angle is adjacent to the 2 sides that are congruent.
The second figure is way easier. As you can clearly see by the congruent markings on the diagram, all the sides on one triangle are congruent to the other. So, since there are 3 sides congruent, we can say the triangles JHG and LKH are congruent by the SSS theorem.
We have
so this is indeed a difference of squares. Factorizing would give
making the answer D.
We can further factor the first term here and write
but that's clearly out of the scope of this question.
Answer: D) 155
Step-by-step explanation:
let <A, <B,<C are three angles in a triangle.
sum of the three angles in a triangle is 180degree.
<A+<B+<C=180
130+<B+<C=180 since one angle is given
<B+<C =180-130
<B+<C=50
(<B+<C)/2=25----(1)after bisecting sum of the angles
required angle =180-25=155
d is correct answer
