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mojhsa [17]
3 years ago
7

Find the measure of <7

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0
Hey there! :D

Vertical angles are congruent, they have the same measure. 

So, <7 and <5 are vertical angles. They share the same vertex, and if you were to draw a straight line between them, it would connect and bisect them both equally. 

<5= 45, so <7= 45. 

I hope this helps!
~kaikers


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Sketch the region that is common to the graphs of x ≥ 2,
Oliga [24]

a. Find the graph of their common region in the attachment

b. The area of the common region of the graphs is 8 units²

<h3>a. How to sketch the region common to the graphs?</h3>

Since we have x ≥ 2, y ≥ 0, and x + y ≤ 6, we plot each graph separately and find their region of intersection.

  • The graph of x ≥ 2 is the region right of the line x = 2.
  • The graph of y ≥ 0 is the region above the line y = 0 or x-axis.
  • To plot the graph of x + y ≤ 6, we first plot the graph of x + y = 6 ⇒ y = -x + 6. Then the graph of x + y ≤ 6 is the graph of y ≤ - x + 6.

So, the graph of x + y ≤ 6 is the region below the line y = - x + 6

From the graph, the regions intersect at (2, 0), (2, 4) and (6, 0)

Find the graph of their common region in the attachment

<h3>b. The area of the common region</h3>

From the graph, we see that the common region is a right angled triangle with

  • height = 4 units and
  • base = 4 units

So, its area = 1/2 × height × base

= 1/2 × 4 units × 4 units

= 1/2 × 16 units²

= 8 units²

So, the area of the common region of the graphs is 8 units²

Learn more about region common to graphs here:

brainly.com/question/27932405

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6 0
2 years ago
What is the answer to this problem?
emmasim [6.3K]
I hope this helps if you need any other help just message me and i will answer 

True
True
False

6 0
3 years ago
Problem We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{2
Tanzania [10]

Complete Question

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

Answer:

a) 0.85 euros

b) 1.18 dollars

Step-by-step explanation:

The equation is given as:

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

E = 17/20D

D = 1 dollar

Hence:

E = 17/20 × 1

E = 0.85 euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

E = 17/20D

E = 1 euro

1 = 17/20D

D = 1 ÷ 17/20

D = 1 × 20/17

D = 1.1764705882 dollars

D = 1.18 dollars

3 0
3 years ago
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const2013 [10]

Answer:

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Step-by-step explanation:

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