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kiruha [24]
3 years ago
15

Determine whether the triangles are similar. or not.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

A

Step-by-step explanation:

We know that ∠ABE ≅ ∠DBC because they are vertical angles, so that's one pair of congruent angles. However, we can't compare ∠BAE and ∠DCB as they have different measures, so we'll have to find the measure of either ∠AEB or ∠BDC. Let's go with the former. Using the fact that the sum of the measures of the interior angles of a triangle is 180°, we know that m∠AEB=180-(53+42)=180-95=85°. Now, we know that ∠AEB ≅ ∠DCB because their measures are equal. That's another pair of congruent angles. Therefore, the angles are similar by AA. Hope this helps!

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Let p=x^2+6p=x 2 +6p, equals, x, start superscript, 2, end superscript, plus, 6. Which equation is equivalent to (x^2+6)^2-21=4x
Nostrana [21]

Answer:

Step-by-step explanation:

Given p = x²+6

We are to express (x²+6)-21 = 4x²+24 in terms of p

We need to rewrite the expression first

(x²+6)²-21 = 4x²+24

Factor out 4 from the right hand side;

(x²+6)²-21 = 4(x²+6)

Replace x²+6 with p

p²+21 = 4p

Collect like terms

p²-4p = -21

p²-4p+21= 0

Hence the required equation is p²-4p+21= 0

5 0
3 years ago
Read 2 more answers
At an electronic store, 4 phones and 3 laptops together cost $1580.62. The total cost of 2 laptops and 5 cameras is $1340.90. If
Mashutka [201]

Answer:

$2,677.72

Step-by-step explanation:

L = 3C

P

4P + 3L = 1,580.62

2L + 5C = 1,340.90

4P + 5L + 3C = ?

2L + 5C = 1,340.90

6C + 5C = 1,340.90

11C = 1,340.90

C = 121.90

121.90 * 3 = 365.70

L = 365.70

4P + 3L = 1,580.62

365.70 * 3 = 1,097.10

4P = 483.52

P = 120.88

C = 121.90

L = 365.70

P = 120.88

4P + 5L + 3C = ?

4(120.88) + 5(365.70) + 3(121.90) = 2,677.72

7 0
4 years ago
What function represents a reflection f(x)=3/7(2)^x over the x-axis
Oksana_A [137]

Answer:

Given the function:

y=f(x)= \frac{3}{7}(2)^x

The rule of reflection across the x-axis is given by:

(x, y) \rightarrow (x, -y)

Apply the reflection over the x-axis on the given function we have;

-y = \frac{3}{7}(2)^x

Multiply both sides by -1 we get;

y=-\frac{3}{7}(2)^x

or

f(x)=-\frac{3}{7}(2)^x

Therefore, function represents a reflection f(x)=3/7(2)^x over the x-axis is, -\frac{3}{7}(2)^x

4 0
4 years ago
Read 2 more answers
Mr. Ishak is going to make a soil mixture of a potted plant. He will come by 21 ounces of dirt, 17 ounces of peat moss, and 9 ou
irakobra [83]
9 Ounces shows the total amout because you need to subtract 21-17
3 0
4 years ago
Read 2 more answers
Use the triangle to answer the question.Find the value of x. Round to the nearest degree.
AlexFokin [52]

Given:

base = 16

hypotenus = 21

\cos \theta=\frac{base}{hypotenus}

Angle = x

\begin{gathered} \cos x=\frac{16}{21} \\ \cos x=0.76 \\ x=\cos ^{-1}(0.76) \\ x\approx40 \end{gathered}

The value of x is 40 degree.

5 0
1 year ago
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