Step-by-step explanation:
Alternate and corresponding angles.
Answer:
b = 6 / 1/4
Step-by-step explanation:
C)
Answer:
Step-by-step explanation:
If P, Q and S are collinear, then the three points lies on the same straight line.
If the Straight <P Q S is divided into 2 angles, <P Q R and <R Q S, by ray Q R, then;
<P Q R + <R Q S = 180
Given
<R Q S =x+1
<P Q R = 3x-5
Substitute the given expression into the formula and calculate x;
3x-5+x+1 = 180
collect like terms
3x+x - 5+1 = 180
4x-4 = 180
4x = 180+4
4x = 184
divide both sides by 4
4x/4 = 184/4
x = 46°
To get m∠PQR, we will substitute x = 46 into the expression for m∠PQR.
m∠PQR = 3x-5
m∠PQR = 3(46) - 5
m∠PQR = 138 - 5
m∠PQR = 133°
Hence the measure of angle m∠PQR is 133°
Answer:
$320
Step-by-step explanation:
From simple interest formular
A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained
int=Rt where R is rate of interest in decimal form, t is duration
The rate of 10% converted to decimal is 10/100=0.1
Substituting P for $3200, R for 0.1 and t for 1 year
A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520
To find the interest, it's A-P hence $3520-$3200=$320
Therefore, interest owed is $320
Selection B is appropriate.
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The signs of the coefficients tell you the binomial factors must have both signs positive (selections B and C only). Selection B produces an x-term that is 15x+15x=30x (as we want); selection C produces an x-term that is 45x+5x=50x (not what we want).
