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sveta [45]
3 years ago
13

Write a two column proof. given: bd perpindicular to ac and bd bisects ac prove: abd = cbd

Mathematics
1 answer:
ira [324]3 years ago
6 0

1. BD is perpendicular to AC - given

2.BD bisects AC - given

3. <BDC = 90 degrees; < BDA= 90 degrees - definition of perpendicular

4. m<BDC = m<BDA - substitution property

5. m<ABD = m<CBD - definition of a bisector

6. BD = BD - reflexive property

7. ABD = CBD - Angle-side-angle congruency theorem

hope this helps at all

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Mary knits scarves and sweaters to sell. Scarves take 2 hours to knit and sweaters take 10 hours. Mary would like to spend no mo
sveticcg [70]

Answer:

The system of inequalities is

2x+10y\leq 40

x+y\geq 5

The solution in the attached figure

Step-by-step explanation:

<u><em>The question is</em></u>

Write a system of linear inequalities.

Le

x ---> number of scarves knitted per week

y ---> number of knitted sweaters per week

we know that

Mary would like to spend no more than 40 hours per week knitting

The word "No more" means "less than or equal to"

so

2x+10y\leq 40 ----> inequality A

Mary would like to knit at least 5 items per week

The word "at least" means "greater than or equal to"

x+y\geq 5 ----> inequality B

Solve the system by graphing

The solution is the triangular shaded area

see the attached figure

7 0
3 years ago
Diego has 3 times as many comic books as Han.
Sloan [31]

Answer:

Han has 9 books

Step-by-step explanation:

If diego has 27 comic books than that means that all you have to do is divide 27/3. then that equals to 9

5 0
3 years ago
⚠️⚠️24 points⚠️⚠️
motikmotik

Answer: No. Equations even if it is paired. So on. It can only have one solution. Although this is only for a system of equations.

A linear can have two. It just depends on what the problem is.


Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Given m||n , find the value of x
cricket20 [7]

Answer:

x = 17

Step-by-step explanation:

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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=79°, and QO = 8.5 feet. Find the length of OP to the nearest tenth of a foot.
Nady [450]

Answer:8.7

Step-by-step explanation:

6 0
3 years ago
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