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KatRina [158]
3 years ago
13

If m<2=35° and <1and <2 form a right angle. Find m <1.

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0
To solve this problem, we just need to set up a simple equation. We have that angles 1 and 2 add up to equal a right angle, or 90°, and that m<2 is 35°, so we just have to do a bit of subtraction.

<1 + <2 = 90   Given
<1 + 35 = 90   Substitute 35 for <2
<1 = 55°   Subtract 35 from both sides to get rid of it, since subtraction is the opposite of addition.

Therefore, m<1 = 55°.

Hope this helps!
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Answer:

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Step-by-step explanation:

1+2+3+4...+113+114=\frac{114*115}{2} =6555

1+2+3+4 ... +43+44=\frac{44*45}{2} =990

Thus, 45+46+47+48...+113+114= 6555-990=5565

3 0
3 years ago
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
WITCHER [35]

Answer:

5 cm

Step-by-step explanation:

We khow that the altitude of this triangle is 1cm shorter than the base

  • Let H be our altitude and B our base and A the area of the triangle
  • A= (B*H)/2 ⇒ 15=(B*H)/2
  • H is 1cm shorter than B ⇒ B=H+1
  • H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0

that's a quadratic equation . Let's calculate the dicriminant .

Let Δ be the dicriminant

  • a=1
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  • c= -30
  • Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
  • Δ≥0⇔ that we have two solutions x and y
  • x= (-1-\sqrt{121})/2= (-1-11)/2= -6
  • y= (-1+\sqrt{121})/2= 10/2 = 5

We have a negative value and a positive one

The altitude is a distance so it can't be negative

H= 5cm

6 0
3 years ago
What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 2
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Answer:260000

Step-by-step explanation:

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3 years ago
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Read 2 more answers
Explain why all squares are similar????? and please help with question below!!!!!!!!!!!!!
Oliga [24]
That's not a squre
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base:person to corner=28:8
height to height=x:5
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28/8=x/5 becasue same ratio
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multiply
35/10=2x/10
35=2x
divide 2
17.5=x

x=17.5 feet
5 0
3 years ago
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