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mart [117]
3 years ago
10

Please with an explanation if you can

Mathematics
2 answers:
8090 [49]3 years ago
5 0

Answer:

70 degrees

Step-by-step explanation:

2x+3x-20+x+20=180

( angles in a triangle add up to 180 degrees)

as you want to find one x you need to move everything else to the other side: first collect all the like terms: 6x=180

in order to find x you need to divide 180 by 6 which is equal to 30

therefore x=30

if you substitute this into XYZ it would be: 3(30)-20

90-20=70

therefore XYZ=70 degrees

Hope this helped

kondaur [170]3 years ago
3 0

Answer:

70

Step-by-step explanation:

So we know that the angles of a triangle equal up to 180 degrees. So let's make an equation. So we can do:

2x+(3x-20)+(x+20) = 180

Simplify:

6x=180

x=30

We can also plug this in to check our work. So it would be:

60+(90-20)+(30+20)

simplify

70+50+60=180

Then we have to find angle XYZ so we do 90-20=70

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An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10%
Anna35 [415]

Answer:

$900  

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence                     Probability(p)        Value(v)                                   v × p

A claim is made            0.1                  $5,000 - $1,400 = -$3,600     -$360

No claim                        0.9                 $1,400                                       $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900    

7 0
3 years ago
On a map, 2 cm represents 30 mi. The actual distance between two towns
nydimaria [60]

Answer:

<h2>5 cm</h2>

Step-by-step explanation:

step one:

Given that the scale of the map is

 2cm to represent 30 miles

That is  every 1 cm is 15 miles in reality

step one:

what we are solving for is the distance in cm on the map so,

1cm rep 15miles

xcm rep 75miles

cross multiply

Xcm= 75/15

X= 5 cm

hence on the map 75miles distance between the two towns is seen as 5 cm

8 0
3 years ago
1. You go to a restaurant and your bill is $24,00. You are going to tip 16%
myrzilka [38]

Answer:

1. $3.84

2. $2. 30

Step-by-step explanation:

4 0
3 years ago
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Given: AH bisects MT, MA ≅ AT
yuradex [85]

Answer:tha and at

Step-by-step explanation:

because of that mha and tha are right angles

3 0
4 years ago
Which choice is similar to the figure shown?
IRINA_888 [86]

Answer:

The parallelogram whose sides are 5 and 20  is similar

Step-by-step explanation:

The parallelogram whose sides are 5 and 20  is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.

 \frac{2}{5} = \frac{8}{20}                 \frac{2}{4} \neq \frac{8}{18}

 \frac{2}{5} =\frac{2}{5}                   \frac{2}{4} \neq \frac{8}{4}

8 0
2 years ago
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