Answer:
A
Step-by-step explanation:
I want you to imagine as you read this or you can draw through the help of my explanation and see yourself:
1↪Draw triangle ABC where BC>AC
2↪D is any point on AC such that CD=CB
3↪Roughly drawing , you can assume CD=CB and and join BD
4↪SO triangle ABC which is a big triangle is divided into Triangles ABD and BDC
5↪See in triangle BDC ,CD=CB so, base angles of isosceles triangle are equal:
<CDB=<CBD = x (assume) which means x is acute angle since CDB and CBD are are in same triangle with same measure and there can't be any two obtuse angle in any traingle. So x must be acute.
6↪Now see in traingle ABD,
<ADB=180-<CDB=180-x=obtuse angle
...check yourself ...just subtract any acute angle from 180 you will get only obtuse angle (ie angle greater than 90)
That means in triangle ABD , one angle ADB is obtuse which means remaining <ABD and < BAD are acute. [PROVED]
❇Main Concept Used Here:
↪In any triangle there can be maximum of one obtuse angle...so remaining two must be acute angle otherwise interior angles sum can't be equal to 180.
Answer:
4x - x - 10. 10 subtracted from the difference of quadruple a number and the same number means you are subtracting 10 from the difference of quadruple a number and the same number. This means you are finding the difference of quadruple a number and the number, and then subtracting 10 from that.
Answer:
x ≥ -6
Step-by-step explanation:
-3x-7 ≤ 11
-3x-7+7 ≤ 11+7
-3x ≤ 18
(-3x)(1) ≤ 18(-1)
3x ≤ -183x/3 ≤ -18/3
Answer:
$625 (but it's really $763.14)
Step-by-step explanation:
Use the formula I=P(1+r)^t
April=25000(1.04)^5=$30416.32
May=25000(1.0375)^6=$31179.46
$31179.46-$30416.32=$763.14
So $625 is the closest answer