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
Each division set gives the outcome of the operation 1.45 ÷ 5 which is 0.29.
- The number of hundredths in each division set is <u>D. 9</u>
Reasons:
The given Hunter's model consists of the following
One 10 × 10 number block
Four sets of a column of 10 cubes
Five individual cube pieces
Therefore;
In 1.45, we have;
1 unit
4 tenths
5 hundredths
Which gives;
Each single cube can be used to represent a hundredth in 0.05
One cube = 0.01
Each set of 10 cubes represents a tenth in 0.4
Each block of 10 by 10 can be used to represent the unit; 1
Dividing each of the 10 × 10 can be divided to sets of 20 blocks with a value of 0.2 each
The 4 sets of 10s can be divided by 5 to give sets of 8 with a value of 0.08
The 5 cubes divided 5 gives five cubes with each cube having a value of 0.01.
Therefore;
The value of each division set is 0.2 + 0.08 + 0.01 = 0.29
The number of hundredths in 0.29 = 9
The number of hundredths in each division set is therefore; <u>D. 9</u>
Learn more about number place value here:
brainly.com/question/184672
If Jeff writes comic strips at a rate of 3 comics an hour then you must put 3,4,7&9 into the function and add up the products.
9+12+21+27=69
Math is real hard but I think irrational don’t quote me on that
