9514 1404 393
Answer:
Step-by-step explanation:
The marked angles form a linear pair, so have a sum of 180°.
(4a +10) +(6a) = 180
10a = 170 . . . . . . . . . . subtract 10
a = 17 . . . . . . . . . . . . . divide by 10
__
Then the measure of angle ABC is ...
∠ABC = 4a +10 = 4(17) +10 = 68 +10 . . . . . substitute 17 for 'a'
∠ABC = 78°
Answer:
see explanation
Step-by-step explanation:
4
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= ( substitute in values )
= ( cross- multiply )
12(x - 1) = 72 ( divide both sides by 12 )
x - 1 = 6 ( add 1 to both sides )
x = 7
------------------------------------------------------------------------------
5
The parallel line segment SV is half of RW
that is x = 7.5
SV also divides the sides RT and WT in proportion, that is
= ( cross- multiply )
10y = 24 ( divide both sides by 10 )
y = 2.4
26/52 because reducing like terms gives us half compared to 21/49 being way less than half based on adding the numerators of these 2 fractions.
Answer:
4
Step-by-step explanation: