Answer:
1/12 of a mile.
Step-by-step explanation:
1. Find a common denominator. In this instance, we can use the denominator of 12 because both 3 and 4 are multiples of 12.
2. Multiply each fraction (numerator and denominator) to convert them.
1/3(4/4) = 4/12
1/4(3/3) = 3/12
3. Subtract.
4/12－3/12 = 1/12
Answer: 23
Step-by-step explanation:
AB + BC = AC
AC = 11 + 12 = <u>23</u>
3x - 15 = 105
3x = 120
x = 40
3(40) - 15 + y + 24 = 180
120 - 15 + y + 24 = 180
129 + y = 180
y = 51
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
10.5 maps to x with a scale factor of 2/3:
x = 10.5 × 2/3
x = 7
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
