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3 years ago

Given: a and c are vertical angles prove: a =~ cl

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

See the answer below.

Step-by-step explanation:

∠ a and ∠c are vertical angles Given

∠a + ∠d = 180 Definition of linear pairs or straight angles

∠d + ∠c = 180 Definition of linear pairs or straight angles

∠a + ∠d = ∠d + ∠c Substitution

∠a = ∠c Subtraction

Therefore ∠a ≅ ∠c Definition of congruent

Note:

Now you know that if you have a pair of vertical angles then the angles are congruent

jeyben [28]3 years ago

5 0

Answer:

what do i have to answer?

Step-by-step explanation:

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The seats at a football stadium are on a slope with gradient of 1/2. What is the height of the bottom seats?

pochemuha

Answer:

ANS IS 2m

Step-by-step explanation:

we can solve it by using coordinate geometry

6 0

3 years ago

Read 2 more answers

Simplify the following expression 2c^3+8c^3

mina [271]

Answer is 10c^3

How?

Collect the like terms

(2 + 8)c^3

Just add the numbers

10c^3

5 0

3 years ago

a flask that weights 345.8g is filled with 225 ml of carbon tetrachloride. Together they weight 703.55g. Calculate density in g/

alina1380 [7]

703.55 minus the flask weight
-345.8 equals
 357.75 

density = 357.75 / 225 = 1.59 grams / milliliter
density = 1,590 grams / liter

4 0

3 years ago

Plz answer correctly I don’t wanna fail plz answer!!!!!not much!!!!!!!

Triss [41]

I’m pretty sure yes it is

6 0

3 years ago

What is m<efh =(5×+1)°,m<hfg =62° and m <efg = (18×+11)°, find each measure.

Naddik [55]

Answer:

$m\angle efg=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=83\°$

Step-by-step explanation:

Given:

$m\angle efh=5x+1\\m\angle hfg=62\\m\angle efg=18x+11$

Now, from the figure shown below,

The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.

Here, point 'f' is the vertex and the sides are 'ef and 'fg'.

Therefore,

$m\angle efh+m\angle hfg=m\angle efg$

Plug in their values and solve for 'x'. This gives,

$5x+1+62=18x+11\\5x+63=18x+11\\18x-5x=63-11\\13x=52\\x=\frac{52}{13}=4$

Therefore, the angle measure of each are:

$m\angle efg=5x+1=5(4)+1=20+1=21\°\\\\m\angle hfg=62\°\\\\m\angle efg=18x+11=18(4)+11=72+11=83\°$

6 0

4 years ago