Answer:
A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle
x = 3 m
Step-by-step explanation:
The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.
If we find the ratios of their given corresponding side lengths, their ratios would be the same.
Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½
½ is the scale factor. Therefore, both triangles are similar.
To find x, multiply the corresponding side length of the other triangle by the scale factor.
x corresponds to side length that is 6 m in the other triangle.
Therefore,
x = 6*½ = 3 m
Answer:
27
Step-by-step explanation:
z = 9, so we plug in 9 for z.
9 * 3 = 27
1. −2x−4=20+6x
Step 1: Simplify both sides of the equation.
−2x−4=20+6x
−2x+−4=20+6x
−2x−4=6x+20
Step 2: Subtract 6x from both sides.
−2x−4−6x=6x+20−6x
−8x−4=20
Step 3: Add 4 to both sides.
−8x−4+4=20+4
−8x=24
Step 4: Divide both sides by -8.
−8x/−8=24/−8
x=−3
Answer:
x=−3
3. (x/4)*(4)=(9)*(4)
x=36
Answer:
x=36
4.
2(5x−1)=3x+5
Step 1: Simplify both sides of the equation.
2(5x−1)=3x+5
(2)(5x)+(2)(−1)=3x+5(Distribute)
10x+−2=3x+5
10x−2=3x+5
Step 2: Subtract 3x from both sides.
10x−2−3x=3x+5−3x
7x−2=5
Step 3: Add 2 to both sides.
7x−2+2=5+2
7x=7
Step 4: Divide both sides by 7.
7x/7=7/7
x=1
Answer:
x=1
5.
8−2(3x−4)+2x=5(x+6)+4
Step 1: Simplify both sides of the equation.
8−2(3x−4)+2x=5(x+6)+4
8+(−2)(3x)+(−2)(−4)+2x=(5)(x)+(5)(6)+4(Distribute)
8+−6x+8+2x=5x+30+4
(−6x+2x)+(8+8)=(5x)+(30+4)(Combine Like Terms)
−4x+16=5x+34
−4x+16=5x+34
Step 2: Subtract 5x from both sides.
−4x+16−5x=5x+34−5x
−9x+16=34
Step 3: Subtract 16 from both sides.
−9x+16−16=34−16
−9x=18
Step 4: Divide both sides by -9.
−9x/−9=18/−9
x=−2
Answer:
x=−2
Answer:
28°
Step-by-step explanation:
soln
(x+3)°+(2x+3)°
x°+3°+2x°+3°=90°(beign complementary angles)
3x+6=90°
3x=90°_6
3x=84
x=84/3
x=28°
