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Verdich [7]
3 years ago
8

Please help!! will mark brainliest ​

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:

∠CAB = 20°

Step-by-step explanation:

Looking at the diagram, we can see that ADC is a straight line so it is a 180°. Using this information, we can find the ∠CDE :

∠CDE = 180° - ∠ADE

= 180° - 130°

= 50°

Triangle CDE is an isosceles triangle so ∠CDE = ∠CED = 50° and now, we can find the angle of C :

∠C = 180° - ∠CDE - ∠CED (angle in a triangle is 180°)

= 180° - 50° - 50°

= 80°

Given that triangle ABC is also an isosceles triangle so ∠C = ∠B = 80° and lastly, we can find ∠CAB :

∠CAB = 180° - ∠C - ∠B

= 180° - 80° - 80°

= 20°

Contact [7]3 years ago
5 0

Answer:

angle CAB = 20 degrees

Step-by-step explanation:

Hope this helps you!

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One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 492,
Lena [83]

Answer:

The numbers are 56, 280 and 156

Step-by-step explanation:

Let

x -----> the first number

y ----> the second number

z ----> the third number

we know that

y=5x -----> equation A

z=x+100 ----> equation B

x+y+z=492 ----> equation C

Solve the system of equations by substitution

substitute equation B and equation A in equation C and solve for x

x+5x+x+100=492

7x=492-100

7x=392

x=56

<u><em>Find the value of y</em></u>

y=5x -----> y=5(56)=280

<u><em>Find the value of z</em></u>

z=x+100 ----> z=56+100=156

therefore

The numbers are 56, 280 and 156

8 0
3 years ago
Of 75is90 =120 true or false
Mariana [72]

Answer:

False

Step-by-step explanation:

8 0
3 years ago
What is the factored form of x2 – x – 2?
s344n2d4d5 [400]

Answer:

(x-2)(x+1)

Step-by-step explanation:

x²-x-2 can be factored into:

(x-2)(x+1)

Support me by selecting my answer as brainiest.

3 0
4 years ago
Find the mean, range, and interquartile range of the heights of plants given
Artist 52 [7]

Answer:

Mean = 30.9

Range = 80

Interquartile Range = 36

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms. In other words that means 2, 22, 4, 36, 82, 44, 65, 30, 8, 16 go over a fraction like this. There are 10 numbers here so this is our denominator.

\frac{2+ 22 + 4 + 36 + 82 + 44 + 65 + 30 + 8 + 16}{10}

\frac{309}{10} > 30.9

For the range, all we do is subtract the minimum value from the maximum which is 82 - 2. That gives us 80.

For the IQ Range....

Arrange the terms in ascending order.

2, 4, 8, 16, 22, 30, 36, 44, 65, 82

Then we need to find the median which is the average of the two middle terms.

\frac{22+30}{2} > \frac{2*11 + 30}{2} >\frac{2*11+2*15}{2} > \frac{2 * (11 + 15)}{2} > 11 + 15 > 26

So for the lower half of data 2, 4, 8, 16, 22 we have the median of 8

And for the upper half 30, 36, 44, 65, 82 we have the median of 44.

To find the IQ Range it is the difference between the first quartile (8) and the third (44)

So 44 - 8 = 36

7 0
2 years ago
Read 2 more answers
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B31%20%2B%2033%7D%20" id="TexFormula1" t
topjm [15]

Answer:

your answer will be 8

Step-by-step explanation:

thank you!!

4 0
3 years ago
Read 2 more answers
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