Answer:
Step-by-step explanation:
Note that ∠TSU and ∠PSR are vertical angles. Hence:
∠PSR is the sum of ∠PSQ and ∠QSR. Hence:
We know that ∠TSU measures 4<em>x</em> and ∠QSR measures 3<em>x</em>. Thus:
Solve for ∠PSQ:
Next, ∠PQS and ∠RQS form a linear pair. Thus:
∠RQS measures 68°. Thus:
Solve for ∠PQS:
The interior angles of a triangle must total 180°. So, for ΔPQS:
Substitute in the known values:
Simplify:
And divide. Hence:
(Angle ABD) + (Angle ABC) = 180
Angle ABC = 180 - (Angle ABD)
Angle ABC = 180 - 37
Angle ABC = 143
Answer: Choice A) 143 degrees
Answer:
180/5*7=252 Miles
Step-by-step explanation: the mile in one hour equal 180/5=36 mile/hour
the miles in 7 hours = 36 *7 = 252 miles
Answer:
Step-by-step explanation:
The lengths of HJ and JK are 50 and 72 respectively.
Given: J is between H and K. the length of HJ=2x+4, JK=3x+3, and HK=22.
The line HJ and JK are collinear then the total length is given as: HJ+JK=HK
substitute values
⇒ (2x+4)+(3x+3)=22
⇒ 5x+7=22
⇒ 5x=22-7
⇒ 5x=15
⇒ x=3
Thus, the length of HJ is (2x+4)=(2*3+4)=10
And the length of JK is (3x+3)=(3*3+3)=12
Learn more about collinear lines here: brainly.com/question/27943430
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