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Olenka [21]
3 years ago
13

Find the measure of angle 1 given the following: angle 3 and angle 4 are complementary (angles add up to 90 degrees), angle 2 is

congruent to angle 3, the measure of angle 2 is equal to 6x+24, and the measure of angle 4 is equal to 5x.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
When you add up all the angles, it would be equal to 180 degrees.

Since angles 2 and 3 are congruent, angle 3 is also equal to 6x + 24.
We know also that angles 3 and 4 are complementary, so (6x+24) + 5x = 90. 

Let's find x. 
6x+24+5x = 90
11x = 90-24
11x = 66
x = 6


Angle 2 and 3 are 6(6) + 24 = 60 degrees
Angle 4 is 5(6) = 30 degrees 

180 - 60 - 60 - 30 = 30 degrees

Angle 1 is equal to 30 degrees :D :D

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Jayden and Sheridan both tried to find the missing side of the right triangle. A right triangle is shown. One leg is labeled as
stellarik [79]

Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

where

a and b are the legs

c is the hypotenuse (the greater side)

In this problem

Let

a=7\ cm\\c=13\ cm

substitute

13^{2}=7^{2}+b^{2}

Solve for b

169=49+b^{2}

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

we have that

<em>Jayden's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\b=13\ cm

substitute and solve for c

7^{2}+13^{2}=c^{2}

49+169=c^{2}

218=c^{2}

c=\sqrt{218}\ cm

c=14.76\ cm

Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\c=13\ cm

substitute

7^{2}+b^{2}=13^{2}

Solve for b

49+b^{2}=169

b^{2}=169-49

b^{2}=120

b=\sqrt{120}\ cm

b=10.95\ cm

therefore

Sheridan's Work is correct

6 0
3 years ago
Read 2 more answers
Si una galleta de chocolate aporta un aproximado de 150 kcal y un viaje en bicicleta se quema por media hora se que mas 340 kcal
Elanso [62]

Answer:

Una persona necesitará 2 horas y 30 minutos de viaje en bicicleta para quemar el contenido kilocalórico de cinco galletas.

Step-by-step explanation:

De acuerdo con este problema, la cantidad de calorías que se quema es directamente proporcional al tiempo de viaje en bicicleta. Si sabemos que una galleta aporta 150 kilocalorías, entonces 5 galletas equivalen a 750 kilocalorías.

Por regla de tres simple calculamos el tiempo requerido para quemar 750 kilocalorías:

x = 30\,min \times \frac{750\,kcal}{150\,kcal}

x = 150\,min

Es decir, una persona necesitará 2 horas y 30 minutos de viaje en bicicleta para quemar el contenido kilocalórico de cinco galletas.

6 0
3 years ago
The diagram shows TUV. Which term describes point W?
alex41 [277]
A. incenter

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5 0
3 years ago
Which lists show numbers ordered from least to greatest? Choose all that apply.
saw5 [17]
The answer is C. -<span>3 3/4, -2 1/4, 1 1/8 

It is because the highest number in the negatives, -3 3/4, is always the lowest. Obviously if there is no negative sign it is positive. 1 1/8 is the only positive so it is the greatest. And -2 1/4 is lower that -3 3/4. So it is higher than -3 3/4 but lower than 1 1/8.

I'm sorry I'm not the best explainer, but does this help?</span>
7 0
3 years ago
What is the measure of _____?​
AnnyKZ [126]

Answer:

A: 112 degrees

Step-by-step explanation:

7 0
2 years ago
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