I don’t necessarily know if these two figures are supposed to be congruent or not but if they are here
Answer: X=23
Explanation: 23-4 is congruent to 19
Answer:
Step-by-step explanation:
f- 2 = 6(d-2)
f - 2 = 6d - 12
f = 6d - 12 + 2
f = 6d - 10 .................................... eq 1
f + 18 = 2(d+18)
f + 18 = 2d + 36
f= 2d + 36 - 18
f = d + 18 .......................................... eq 2
eq1=eq2
6d - 10 = 2d + 18
6d - 2d = 18 + 10
4d = 28
d = 28/4
d = 7 yrs is the daughter's age
Take eq 1
f = 6(7) - 10
f = 42 - 10
f = 32 yrs is Father's age
Answer:
Part A) The triangles ABC and EDC are similar by AAA, because the three internal angles are equal in both triangles
Part B) The width of the river is about 
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
Part A) we know that
In this problem , triangles ABC and CDE are similar by AAA, because its corresponding angles are congruent
so
m<DCE=m<ACB -----> by vertical angles
m<EDC=m<ABC -----> is a right angle
m<DEC=m<CAB -----> the sum of the internal angles must be equal to 180 degrees
Part B) we know that
The triangles ABC and EDC are similar -------> see Part A
therefore

substitute the values and solve for AB


Answer:
16 in
Step-by-step explanation:
The 3 part of the ratio represents 24 inches.
Dividing by 3 gives the value of one part of the ratio.
24 in ÷ 3 = 8 in ← value of 1 part of the ratio, thus
2 parts = 2 × 8 in = 16 in ← hypotenuse of smaller triangle
Answer:
3/4 3/4 1/2 1/4 -14 -15 -20
Step-by-step explanation: