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satela [25.4K]
1 year ago
11

A geometry teacher asked Saul to define “obtuse triangle.” Saul said that an obtuse triangle is a triangle with one interior ang

le measure greater than 90° and two interior angle measures less than 90°. Is Saul's definition valid?
Mathematics
1 answer:
olga_2 [115]1 year ago
7 0
It is valid.
The three angles must add up to 180. So, if one is more than 90, the other two have to be less than 90.
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Select all that apply. To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion.
Oksi-84 [34.3K]

Answer:

Hey there!

We can't compare two measurements without converting them to  the same units. Thus, we use proportions to make all the values into the same unit.

12.5 cm(\frac{10 milimeters}{1 centimeter}), which converts to centimetres to millimetres.

12.5 cm=125 mm.

Now, we can compare the values of 125 mm and 140 mm.

Clearly, we see that 140 mm is greater than 125 mm.

Let me know if this helps :)

3 0
2 years ago
Read 2 more answers
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Georgia [21]
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution 


We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ +  v₂c₂
40(0.32) = 10(0.2) + 30c
6 0
2 years ago
Read 2 more answers
Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
1 year ago
What is 6.37 × 104 written in standard form?   A. 63,700   B. 637,000   C. 6370   D. 637
Setler [38]
= 6.37 * 10^4 = 637 * 10^2 = 63700

In short, Your Answer would be Option A

Hope this helps!
8 0
1 year ago
Read 2 more answers
Which measurement is the best estimate for the capacity of a bottle of nail polish?
Law Incorporation [45]
The best estimate for the capacity of a bottle of nail polish is A: 10 mL
4 0
2 years ago
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