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Virty [35]
3 years ago
8

The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D?

Mathematics
2 answers:
andrew11 [14]3 years ago
7 0
B = 110 D = 70 your welcome yall
Nuetrik [128]3 years ago
6 0
B=110, d=70

Hope this helps!
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A sedan will drive ten miles north, 15 miles east, 13 miles south, 15 miles west, and 22 miles
pishuonlain [190]
The total distance is 75 miles
4 0
3 years ago
Dado dos ángulos complementarios, uno mide (2x + 10) y el otro (x + 20),
rusak2 [61]

Answer:

El valor de <em>x</em> es igual a 20 o <em>x</em> = 20.

Step-by-step explanation:

Lo primero que se debe saber es que <em>dos ángulos complementarios suman un ángulo recto o 90º</em>.

Supongamos que el valor de un ángulo \\ \alpha y un ángulo \\ \beta valen:

\\ \alpha = 2x + 10 [1]

\\ \beta = x + 20 [2]

Como la suma de  \\ \alpha + \beta = 90 [3]

Entonces

\\ \alpha + \beta = (2x + 10) + (x + 20) = 90

Sumamos los factores comunes entre si:

\\ (2x + x) + (10 + 20) = 90

Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

\\ (2 + 1)x + (10 + 20) = 90

\\ 3x + 30 = 90

Para despejar la incógnita <em>x</em>, debemos tener en cuenta que <em>una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella</em>. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

\\ 3x + 30 - 30 = 90 - 30

\\ 3x + 0 = 90 - 30

\\ 3x = 60

Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por \\ \frac{1}{3} ):

\\ \frac{3}{3}x = \frac{60}{3}

Como sabemos que:

\\ \frac{3}{3} = 1

Entonces:

\\ 1*x = \frac{60}{3}

\\ x = \frac{60}{3}

\\ x = 20

De esta manera, el valor de <em>x</em> es igual a 20 o x = 20.

Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

\\ \alpha = 2x + 10 [1]

Sustituimos x por el valor de 20:

\\ \alpha = 2*20 + 10 = 40 + 10 = 50

\\ \beta = x + 20 [2]

Hacemos lo mismo para [2]:

\\ \beta = 20 + 20

\\ \beta = 40

De esta manera:

\\ \alpha + \beta = 90 [3]

\\ 50 + 40 = 90

4 0
3 years ago
Help please. i am confused
liraira [26]

Answer:

G(x+2) = 7x^2 + 33x + 30

Step-by-step explanation:

So in the G(x) function, to find G(x+2), we just simply plug in the value of x+2 into the function and the result is what is wanted. SO:

G(x+2) = 7(x+2)^2 + 5(x+2) -8 , which is 7x^2 +33x +30 after SIMP - lifying (see what I did there ;)

Hope i helped, please make this brainly. :)

4 0
3 years ago
Type the correct answer in each box. Consider the sum of cubes identity: a3 + b3 = (a + b)(a2 − ab + b2). For the polynomial 8x3
zhuklara [117]

Answer:

a = 2x, b = 3.

Step-by-step explanation:

8x^3+27 = (2x)^3 + 3^3

a = 2x and b = 3.

We can cube root 8x^3 getting 2x and cube root 27 getting 3.

4 0
3 years ago
The surface area of a cone is found using the formula SA = Pir2 + Pirl. Describe what each part of the formula represents and ho
Elza [17]

Answer:

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8 0
3 years ago
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