All categories

1 year ago

Delta Math: Angle Terminology with Equations

Mathematics

1 answer:

vazorg [7]1 year ago

3 0

Answer:

m∠A = 139°

Step-by-step explanation:

Since knowing that:

Supplementary angles = 180 degree

Thus we put that in both equation:

( 7x - 15 ) + ( 2x - 3 ) = 180

Combine like terms & use inverse operations to find the value of x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x = 198

9x/9 = 198/9

x = 22

Hence, Angle A will have a measure of 7x - 15 which means 7 × 22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

Check Answer by add 139 and 31 which equal 180

<u><em>~lenvy~</em></u>

You might be interested in

A parabola has a vertex at the origin. The equation of the directrix of the parabola is y = 3. What are the coordinates of its f

mylen [45]

Answer:

(0, -3)

Step-by-step explanation:

The vertex is halfway between the directrix and the focus. The vertex is at (0, 0) and the directrix is a (0, 3). There are 3 units between them, so that means that the focus is 3 units the other way at (0, -3).

7 0

3 years ago

Read 2 more answers

Please help me solve 5 and 6 for my homework

defon

Answer:

(5) The perpendicular height of the triangle is 8.48 mm.

(6) The 1184.86 cm far up the wall the ladder reach.

Step-by-step explanation:

Part (5):

When a perpendicular is drawn in an isosceles triangle then the perpendicular divided the base into 2 equal parts.

The figures is shown below.

In ΔABC,

CB = 6 mm

So,

CD = BD = 3 mm

Now calculating the perpendicular height of the triangle.

Using Pythagoras theorem in ΔADC:

$(AC)^2=(CD)^2+(AD)^2\\\\(9)^2=(3)^2+(AD)^2\\\\81=9+(AD)^2\\\\(AD)^2=81-9\\\\(AD)^2=72\\\\AD=8.48mm$

Thus, the perpendicular height of the triangle is 8.48 mm.

Part (6):

The figure is shown below.

Converting meter to centimeter:

1 m = 100 cm

So,

12 m = 1200 cm

Using Pythagoras theorem in ΔXYZ:

$(XZ)^2=(YZ)^2+(XY)^2\\\\(1200)^2=(190)^2+(XY)^2\\\\1440000=36100+(XY)^2\\\\(XY)^2=1440000-36100\\\\(XY)^2=1403900\\\\XY=1184.86cm$

Thus, 1184.86 cm far up the wall the ladder reach.

4 0

2 years ago

Pythagorean Theorem - Distance Formula - Item 20760

erma4kov [3.2K]

Step-by-step explanation:

x1 = -5, x2 =3 , y1 = -4 , y2=1

formula = square foot of (x2 -x1)^2 + (y2 -y1)^2
sqare root of (3 +5)^2 + (1 +4)^2
square root of (8)^2 + (5)^2
square root of 64 + 25
square root of 89
= 9.43

6 0

2 years ago

Find cos b in the triangle

monitta

Answer:

okay I need help please

Step-by-step explanation:

find cos b in the triangle

7 0

2 years ago

True or false. Y=3xsquared (like the little number two above the x) is direct variation.

galina1969 [7]

Your answer will be true

3 0

3 years ago