Let's take a look at the triangles ABC and DCB
1. angles : B=C=90° because they are right triangles (AB perpendicular to BC and DC perpendicular to BC)
2. AC=BD (given)
3. BC is in common (the two triangles have it, you can say it like BC=BC)
So we proved that by SAS(side angle side), the triangles are congruent ABC= DCB
Since the triangles are congrueny, all their sides are equal so we can say that AB=DC
2x+8=3kx (3k-2)x+8=0
3x-kx=2. (3-k)x-2=0
3k-2)x+10=3-k)x
4k-5=10/x
///////
3x-y-2=2x+8-3y
X+2y-10=0
X+2kx-10=0
K=(10-x)/2x
Answer:
Michael is 21 years old while Jean is 7 years old.
Step-by-step explanation:
Given that Micheal is three times as old as Jean, but in seven years he will be twice old as she will be, to determine how old are they both at this time, the following calculation must be performed:
M = 3J
M + 7 = 2J + 7
7 = 1/3
7 x 3 = 21
21 + 7 = 28
7 + 7 = 14
21 / 7 = 3
28 / 14 = 2
Therefore, Michael is 21 years old while Jean is 7 years old.
I am not quite sure what the question asks for,
But this is what i assume it wants:
Cos A= 0.6489
In this given one, we basically find the size of the angle A
we do cosine inverse on both sides to get the size of the angle A
: It looks like this in the calculator
× cos A=
(0.6489)
(
and cos cancels out)
A=
(0.6489)
A=49.54°
check:
cos 49.54=0.6489 (its right!)
Answer:
B- Parallelogram PQRS is also a rhombus.
Step-by-step explanation:
Given
Parallelogram PQRS with perpendicular diagonals
Required
Which of the option is true
(a) PQRS can be a rectangle
A rectangle do not have perpendicular diagonals.
Hence, (a) is false
<em>If (a) is false, then (d) is also false</em>
(b) PQRS can a rhombus
The diagonals of a rhombus are not perpendicular.
So (b) <em>is true</em>
<em>No need to check for (c), since only option is true</em>
