Answer:
m∠ACD=124°
Step-by-step explanation:
∠mACD +m∠DCB=180°
2x+8+x-2=180
3x+6=180
3x=174
x=58
m∠ACD=2x+8=2*58+8=124
m∠ACD=124°
Answer:

Step-by-step explanation:
<u>Equation of a Line</u>
Two variables x and y are linearly dependent when they are related by the equation

where m is the slope and b is the y-intercept, or the value of y when x equals 0. We are given a particular equation for the line such as b=0, so we only need one point to compute m. That point is (-1,-2):

It follows that

Thus the equation of the line is

Answer:
96
Step-by-step explanation:
Formulas for area: Parallelogram= Base * Height
Triangle= Base * Height / 2
1st triangle to the left: 8*6=48/2=24
2nd triangle to the right:
<u>1st step: </u>6²+b²=10²
36-36+b²=100-36
√b²=√64²
b=8
2nd step: 6*8=48/2=24
only parallelogram:
6*8=48
Final step: 24+24+48=96
Answer: 4/10 or 2/5
Step-by-step explanation:
Let us represent, the total distance travelled as:
1
Ballio's family traveled 3/10 of the distance to his aunt's house on Saturday.
Distance left to travel = 1 - 3/10
= 7/10
They traveled 4 /7 of the remaining distance on Sunday.
The fraction of the total distance to his aunt's house was traveled on Sunday is calculated as:
4/7 × Distance left to travel
= 4/7 × 7/10
= 4/10
but if i'm wrong then the answer might be 2/5
Answer:
the areas of these triangles are 83.2cm² and 46.8cm²
Step-by-step explanation:
1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:
4²:3²
16:9
2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:
130(16/16+9)
130(0.64)
=83.2cm²
3. The area of the smaller triangle is:
130(9/16+9)
130(0.36)
46.8cm²