Answer:
Step-by-step explanation:
If two ratios make a proportion then it can be shown as:
Let's verify the answer choices with this method
A. 1/4 and 5/25
- 1*25 = 4*5
- 25 = 20, incorrect, not a proportion
B. 1/4 and 7/24
- 1*24 = 4*7
- 24 = 28, incorrect, not a proportion
C. 1/4 and 10/48
- 1*48 = 4*10
- 48 = 40, incorrect, not a proportion
D. 1/4 and 9/36
- 1*36 = 4*9
- 36 = 36, correct, this is a proportion
A&d i think.. but basically the equation needs to be modeled where the answer will be a 14° difference
4/5=0.8
0.35=7/20
3/8=0.375
0.775=31/40
You could have use a calculator for this but you’re welcome
Answer:
SSS is the congruence theorem that can be used to prove Δ LON is congruent to Δ LMN ⇒ 1st answer
Step-by-step explanation:
Let us revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
- HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ
In triangles LON and LMN
∵ LO ≅ LM ⇒ given
∵ NO ≅ NM ⇒ given
∵ LN is a common side in the two triangles
- That means the 3 sides of Δ LON are congruent to the 3 sides
of Δ LMN
∴ Δ LON ≅ LMN ⇒ by using SSS theorem of congruence
SSS is the congruence theorem that can be used to prove Δ LON is congruent to Δ LMN
Similar shapes may or may not be congruent.
The value of x is (a) 9.0
The corresponding sides are:
- AB and DE
- BC and EF
- AC and DF
The side lengths are:
Because the shapes are congruent, and AC corresponds to DF.
This means that:
So, we have:
Collect like terms
Divide both sides by 5
<em>Hence, the correct option is (a) 9.0</em>
Read more about congruent triangles at:
brainly.com/question/12413243
