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Oksanka [162]
3 years ago
8

Given: ABCD is a rhombus. Prove: △AEB is a right triangle.

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

Step-by-step explanation:

∵ ABCD is a rhombus

∴ AC is ⊥ on BD

∴ ΔAEB is right angled triangle

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How to write slope-intercept form through (-1,3) and a slope of -1
oksian1 [2.3K]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

We have the slope m = -1 and the point (-1, 3). Substitute:

3=(-1)(-1)+b

3=1+b      <em>subtract 1 from both sides</em>

2=b\to b=2

<h3>Answer: y = -x + 2</h3>
7 0
3 years ago
In the diagram, points D and E are marked by drawing arcs of equal size centered at B such that the arcs intersect BA−→ and BC−→
tamaranim1 [39]
<span>here are the answer choices
 m∠ABC=32°
 m∠ABC=64°
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</span>∠ ABC<span> is less than 90</span>° so the 3rd and 4th option is out.

The most likely answer is 64°. m∠ABC = 64°

32° x 2 = 64°


7 0
3 years ago
Read 2 more answers
What is the size of the matrix resulting
Alex_Xolod [135]

Answer:

here is your answer

A matrix is a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a matrix element or entry. The dimensions of a matrix give the number of rows and columns of the matrix in that order. Since matrix A has 2 rows and 3 columns, it is called a 2 × 3 2\times 3 2×3 matrix.

8 0
3 years ago
Decide whether the two events are disjoint and tell why or why not:
Agata [3.3K]

Answer:

Disjoint, because the events cannot occur at the same time.

Step-by-step explanation:

disjoint events are mutually exclusive events.

if a and b are two events then a intersection b will be 0 . they cannot occur at the same time.

here in the given problem let the event A be randomly drawing a jack from a standard deckn of card and evnt B be randomly drawing an ace from a standard deck of card.

since in a same card jack and ace cannot occur they are disjoint events.

therefore randomly drawing a jack from a standard deck of cards  and randomly drawing an ace from a standard deck of cards are disjoint events because the events cannot occur at the same time.

6 0
3 years ago
The value of x in this system of equations is 1.
maria [59]

<em>Answer:</em>

<em>In my opinion the answer is </em><em><u>y = 6</u></em>

<em>Step-by-step explanation:</em>

<em>We have two unknowns from the equation therefore, two equations are needed. These equations are: </em>

<em> </em>

<em>3x + y = 9  </em>

<em>y = –4x +10  </em>

<em> </em>

<em>To solve for y, we first substitute the second equation to the first one. </em>

<em>3x + –4x +10= 9  </em>

<em>x = 1 </em>

<em> </em>

<em>We substitute the value of x to either of the equations and solve for y. </em>

<em> </em>

<em>y = –4(1) +10  </em>

<em>y = 6</em>

5 0
3 years ago
Read 2 more answers
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