#14) x is 95 (155-180= 25, 180-25-60= 95)
#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)
For the first one it’s 95 degrees. I don’t know the second one, sorry
angle A and angle D equals 100 degrees, angle B and angle E equals 30 degrees, and angle C and angle F equal 50 degrees.
a triangle has to equal 180 degrees, and since they are similar, it should equal the same. Hope this helped you. :))
Because that’s the only answer with 20
DE = 1.5 cm, EF = 2.25 cm, FD = 3 cmStep-by-step explanation:
Side DE corresponds to side AB and is (1.5 cm)/(2 cm) = 3/4 the length of it.
Because the triangles are similar, all pairs of corresponding sides have the same ratio. That is, the side lengths in ΔDEF are 3/4 of those in ΔABC.
... EF = (3/4)×BC = (3/4)×(3 cm)
... EF = 2.25 cm
... FD = (3/4)×CA = (3/4)×(4 cm)
... FD = 3 cm
Given: ΔABC is similar to ΔDEF,
Now, by the similarity of triangles, we have Ef=3cm.
Consider the below diagram is attached with this question.
Corresponding sides of similar triangles are proportional.
Using this definition of similar triangles we get
Substitute the values from the below diagram.
On cross multiplication we get
Divide both sides by 5.
The length of segment EF is 12 cm. Therefore, the correct option is C.
side df is the same as side ac
Though the figures were not clear enough. Going by the conditions for similar triangles, AB/DE = BC/EF.
since AB = 5x, BC = 4, DE = 5, EF = x from the figures I managed to see, it implies that AB/DE =BC/EF;
5x/5 = 4/x, when you cross multiply,
5x X x = 5 X 4; 5x² = 20. Divide through by 5, it now becomes, x² = 4
Therefore, taking the square root of both side √x² = +- √4, x = +-2. So since AB = 5x , AB now =5x2 = 10, and EF = x = 2.
(c, 0) i might be wrong so don't put full faith on my answer
if x decreases by 4 then y increases by 10