Answer:
50
Step-by-step explanation:
107+23= 130
180-130= 50
You're welcome :P
The solution for given linear equation systems is (3,-4).
Option: C
<u>Step-by-step explanation:</u>
The given equations are 5x+3y=3 and x+y= -1.
Let us isolate x value from equation 5x+3y=3.
5x = 3-3y.
.
Substitute this x value in equation x+y= -1.
.
After taking LCM for the denominator,
.
3-3y+5y=-5.
2y=-8.
y=-4.
For substitute the y value.
.
.
.
x=3.
∴ The solution is (3,-4).
Answer:
Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.
Answer:
x = 14.48
Step-by-step explanation:
first we have to see that we have the measurements from all sides
and we know that the angle between side 21 and 20 is 90 degrees
well to start we have to know the relationships between angles, legs and the hypotenuse.
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
let's take the left angle as α
sin α = 21/29
α = sin^-1 (21/29)
α = sin^-1 (0.7241)
α = 46.397
Now we do the same with the smaller triangle
tan α = o/a
sin 46.397 = x/20
0.724 = x/20
0.724 * 20 = x
14.48 = x
x = 14.48
if we want to check it we can do the same procedure with the other angle
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
