Answer:
RP=15
x=14
Step-by-step explanation:
ΔJKL≅ΔPQR so JK=PQ, KL=QR, and JL=PR.
KL=3y-2 and QR=22
So, 3y-2=22 and 3y=24 and y=8
Now, that we know y=8 we can plug it in 2y-1 to find RP
2(8)-1=16-1=15
In congruent triangles, the corresponding angles are also congruent.
So, ∠K≅∠Q
∠K=42 and ∠Q=3x
So, 42=3x and x=14
Answer:
C. Rocks.
Step-by-step explanation:
A geologist usually studies rocks.
His studies are of the Earth, the composition of the rocks of the Earth and how they were formed.
Well there are 5 people and 40 marbles so
40:5=8
each should have 8
Answer:
Therefore the measure of the missing angle x, is 90°.
Step-by-step explanation:
Let name the vertices of a Quadrilateral as ABCD such that
∠A = 107°
∠B = 72°
∠C = 91°
∠D = x
To Find:
x = ?
Solution:
In a quadrilateral,
Sum of the measures of all the angles is add up to 360°
![\angle A+\angle B+\angle C+\angle D=360\°](https://tex.z-dn.net/?f=%5Cangle%20A%2B%5Cangle%20B%2B%5Cangle%20C%2B%5Cangle%20D%3D360%5C%C2%B0)
Substituting the values we get
![107+72+91+ x = 360\\x = 360 -270=90\\\therefore x=90\°](https://tex.z-dn.net/?f=107%2B72%2B91%2B%20x%20%3D%20360%5C%5Cx%20%3D%20360%20-270%3D90%5C%5C%5Ctherefore%20x%3D90%5C%C2%B0)
Therefore the measure of the missing angle x, is 90°.
15/4 is the correct answer