Answer:
m<SQP=124°
Step-by-step explanation:
Hi there!
We're given ΔQRS, the measure of <R (90°), and the measure of <S (34°)
we need to find m<SQP (given as x+72°)
exterior angle theorem is a theorem that states that an exterior angle (an angle on the OUTSIDE of a shape) is equal to the sum of the two remote interior angles (the angle OUTSIDE of a shape will be equal to the sum of 2 angles that are OPPOSITE to that angle).
that means that m<SQP=m<R+m<S (Exterior angle theorem)
substitute the known values into the equation
x+72°=90°+34° (substitution)
combine like terms on both sides
x+72°=124° (algebra)
subtract 72 from both sides
x=52° (algebra)
however, that's just the value of x. Because m<SQP is x+72°, add 52 and 72 together to get the value of m<SQP
m<SQP=x+72°=52°+72°=124° (substitution, algebra)
Hope this helps!
Answer:
Step-by-step explanation:
The given equation is 
Differentiate both sides with respect to x
Take y and 1 to other sides of the equation
Factor out dy/dx from the left hand side of the equation
Divide both sides by (x+1)
7+3= 10
Let's take 1,400 is to be seperated between A and B
Amount of money A will get = 1400* 7/10= 980
Amount of money B will get = 1400* 3/10= 420
Checking the answer:
980+420 = 1,400
Hence, 1,400 will be shared by ratio 7:3 is 980 and 420.
Correct me, if I am wrong :)
Have a great day!
Thanks!
Answer:
find the area of all the shapes
Base x height / 2 = area of triangle
12x10=120/2=60
there are 4 triangles so 60 x 4 = 240 square inches
length x width = area
10 x 10 = 100
240+100=340
C. is the answer
Hope this helps
Step-by-step explanation:
