1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valina [46]
3 years ago
7

Question: 1. What is the value of x? Show your work to justify your answer. (2 points) 2. What is the value of the exterior angl

e? Show your work to justify your answer. (2 points)

Mathematics
1 answer:
GaryK [48]3 years ago
3 0

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x


The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116


You might be interested in
The distance between -18 and 15 is equal to _____. 18 - 15 15 - 18 -18 - 15 15 - (-18)
NemiM [27]

Answer: Choice D.  15 - (-18)

This results in 15 - (-18) = 15 + 18 = 33.

So from -18 to 15 on a number line is 33 spaces.

We can also say

|-18 - 15| = |-33| = 33

The use of absolute value is to ensure the distance is never negative.

5 0
3 years ago
Un rectangulo de madera se uso para en marcar un espejo en forma de rombo.Si los lados del marco miden 80.5 cm y 36.4, y las dia
QveST [7]

Answer:

1465.1 cm²

Step-by-step explanation:

El espejo en forma de diamante tiene la forma de rombo

Tenga en cuenta que: las diagonales del rombo tienen las mismas medidas de esos lados

Por lo tanto, el área del espejo se calcula como:

1/2 × Diagonal 1 × Diagonal 2

Diagonal 1 = 80.5 cm

Diagonal 2 = 36.4 cm

= 1/2 × 80.5 cm × 36.4 cm

= 2930.2 cm² / 2

= 1465.1 cm²

Por tanto, el área del espejo es 1465.1 cm².

8 0
2 years ago
The graph of which function is decreasing over the interval (–4, ∞)?
padilas [110]
I think second must b the answee
3 0
3 years ago
Read 2 more answers
How much area is left over
LenaWriter [7]
I won't tell you the answer but I'll tell you how to do it

first, find the area of the rectangle (lxw)

Next, find area of the triangle (BxHx.5)

Then, subtract the area of the rectangle to the area of the triangle
5 0
3 years ago
Read 2 more answers
Please help<br> 4(x+8)+2=1/2(8x+60)
user100 [1]

Answer:

This is a contradiction

7 0
3 years ago
Other questions:
  • A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n
    6·1 answer
  • What is -20 and 3/4 as a decimal.
    13·1 answer
  • A road crew is installing 2 storm drains along every 18 mile of highway.
    9·1 answer
  • What is the ratio cos C?
    5·2 answers
  • Expand 3x(2 + 11x) please answer
    11·1 answer
  • A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the
    5·1 answer
  • ASAP! ILL MARK BRAINLIEST !
    15·1 answer
  • If pis inversely proportional to the square of q, and p is 23 when q is 4, determine p
    9·1 answer
  • A) Solve 6(x - 3) = 2x + 10
    7·2 answers
  • Can someone please help me i'm almost done with my work
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!