What is the length in feet of the base of the triangle

In need of geometry help, once again my stupid brain cant remember anything.

melomori [17]

You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.

The diagram shows that:

Side AB = Side XY (sides with one tick mark)
Side BC = Side YZ (sides with double tickmarks)
Angle C = Angle Z (similar angle markers)

We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.

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So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.

3 0

3 years ago

What is the value of x?

Greeley [361]

Answer:

x = 75

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{little}{big}$ .

$\frac{42}{42 + 63}=\frac{50}{50+x}$

$\frac{42}{105}=\frac{50}{50+x}$

To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$42(50+x)=105(50)\\2100 + 42x =5250 \\ 42x = 3150 \\\frac{42x}{42}=\frac{3150}{42} \\x =75$

5 0

3 years ago

Complete the equation of the line whose yyy-intercept is (0,5)(0,5)left parenthesis, 0, comma, 5, right parenthesis and slope is

Andreas93 [3]

Uhh the question is confusing

6 0

3 years ago

Read 2 more answers

Please solve these algebraic questions? THANKS

miskamm [114]

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

<h2>9. Simplify the following by collecting like terms: </h2>

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule). The terms must have the same degree (or exponents).

Add the coefficients of both terms.

3a + 7a = 10a

Add the coefficients of both terms.

4n + 3n = 7n

Subtract the coefficient of both terms.

12y - 4y = 8y

Add the coefficients of all terms.

5x + 2x + 4x = 11x

The last term, "ba," can be rewritten as, "ab." Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1: 1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.

4y - 3y + 8 = y + 8

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.

6xy + xy + 4y = 7xy + 4y

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3

Combine the like terms, which are the second and the last term.

2 - 5m - m = 2 - 6m

Combine the like terms, which are the second and the last term.

4 - 2x + x = 4 - x

8 0

3 years ago

What is three divided by two thirds?

Serhud [2]

Answer:

4 1/2

Step-by-step explanation:

3÷ 2/3

Copy dot flip

3 * 3/2

Multiply the numerators

3*3 =9

The denominator is 2

Numerator over denominator

9/2

Change to a mixed number

9/2 = 4 1/2

6 0

4 years ago