Answer:
B
Step-by-step explanation:
Only 1 because
1/1 = 1
2/1 = 2
The answer can't be 0 because we can't divide by zero.
The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places
Same thing for the 4
Answer:
8 / 15
Step-by-step explanation:
By Pythagoras theorem,
OP² + PQ² = OQ²
OP² + 8² = 17²
OP² = 17² - 8²
= 289- 64
OP² = 225
OP² = 15²
OP = 15
Formula : -
Tan θ = Opposite side / Adjacent side
Here,
θ = Q
Opposite side = PQ = 8
Adjacent side = OP = 15
Tan Q = 8 / 15
Answer is D
After dilation the image remain same but it is stretched or shrinked to the original size.
That means the ratio of the sides and the angles between the sides remain same .
Here we did dilation of ABCD which made it to EFGH.
Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.
the corresponding sides are : AB and EF
BC and FG
CD and GH
DA and HE
* Let us find ratio of the sides AB and BC
given that AB= 10 and BC= 14
AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )
* the raio of the corresponding sides EF and FG should be same ( 5/7)
in the option D EF= 25 and FG= 35
so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )
Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD
Answer:
Angle CAD is 44 degrees
Angle ACD is 44 degrees
Angle ACB is 136 degrees
Angle ABC is 22 degrees
Explanation:
29. Triangle ADC is an isosceles triangle because it has two equal sides.
If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.
Let x be angle CAD.
Let's go ahead x;
Therefore, measure of angle CAD is 44 degrees.
30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)
31. Let angle ACB be y,
Let's go ahead and find measure of angle ACB;
So measure of angle ACB is 136 degrees.
32. Let angle ABC be z.
Triangle ACB is also an isosceles triangle so the base angles are the same.
Let's go ahead and find z;
So measure of angle ABC is 22 degrees.
