Answer:
12 3/4 same slope fro both
13 DE = 5, CB = 10
14 see below
Step-by-step explanation:
12. the slopes are the same
D(0, 3) E(4, 6) slope is (change in y)/(change in x)
change in y = 3 to 6 is a change of +3
Change in x = 0 to 4 is a change of +4
slope is 3/4
13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)
DE² = 3² + 4²
DE² = 9 + 12
DE² = 25
√DE² = √25 = 5
DE = 5
and
CB² = 6² + 8²
CB² = 36 + 64
CB² = 100
√CB² = √100 = 10
CB = 10
14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)
The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
A triangle has three possible midsegments, depending on which pair of sides is initially joined.
Answer
Find out the value of x .
To proof
SAS congurence property
In this property two sides and one angle of the two triangles are equal.
in the Δ ADC and ΔBDC
(1) CD = CD (common side of both the triangle)
(2) ∠CDA = ∠ CDB = 90 °
( ∠CDA +∠ CDB = 180 ° (Linear pair)
as given in the diagram
∠CDA = 90°
∠ CDB = 180 ° - 90°
∠ CDB = 90°)
(3) AD = DB (as shown in the diagram)
Δ ADC ≅ ΔBDC
by using the SAS congurence property .
AC = BC
(Corresponding sides of the congurent triangle)
As given
the length of AC is 2x and the length of BC is 3x - 5 .
2x = 3x - 5
3x -2x =5
x = 5
The value of x is 5 .
Hence proved
Answer:
5
Step-by-step explanation:
(13^2 - 12^2) ÷ 5
(169 - 144) ÷ 5
25 ÷ 5
5
Answer:
$2315.25
Step-by-step explanation:
Given data
Principal= £2000
Time= 3 years
Rate= 5%
The compound interest expression is
A= P(1+r)^t
substitute
A= 2000(1+0.05)^3
A= 2000(1.05)^3
A= 2000*1.157625
A= 2315.25
Hence the Amount is $2315.25
Answer:
The team made x<u><</u>53 points total.
Step-by-step explanation:
1/4+1/10 is 7/20 or 0.35 in decimal form. If they both together scored 21 points then you can add another 7/20 (21 points) and have 14/20 (42 points). You have 6/20 more left. If you can solve what 1/20 could be then you would find the answer. Does this helps?
