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2 years ago

The triangles shown below must be congruent.

Mathematics

2 answers:

leonid [27]2 years ago

7 0

These triangles are congruent by AAS condition hence the statement is true

Eddi Din [679]2 years ago

5 0

They are congruent because they have angle angle side congruency

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Sarah is 3 years older than nine times Mario's age. In 10 years, she will be 1 less than triple his

Natasha2012 [34]

Answer:

3(9m + 13) - (m + 10) = 1

Step-by-step explanation:

Here, we want to write an equation we can use to find the age of Mario.

Let the present age of Mario be M

Age of Sarah is 3 years older than 9

times Mario’s age

Mario’s age is thus;

9m + 3

In ten years, she will be 1 less than triple his age

In 10 years time, sarah age will be 9m +

3 + 10 = 9m + 13

Mario age will be m + 10

Mathematically;

3(9m + 13) - (m + 10) = 1

7 0

2 years ago

Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

What is this song of 2.5 x 10 to the 4th power + 3.4 * 10 to the 4th power

Sergio039 [100]

5.9 • 10^4

just add the two numbers because the exponents are equal.

4 0

2 years ago

Are the expressions -0.5(3x + 5) and<br> -1.5x + 2.5 equivalent? Explain why or why not.

Sedbober [7]

Answer:

No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1

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2 years ago

Help me. Please help me.

tekilochka [14]

Answer:

x=10 y=35 adjacent: AFE; CFD; BFC;BFD; AFB

Step-by-step explanation:

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1 year ago