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2 years ago

State if the triangle is congruent

Mathematics

1 answer:

melisa1 [442]2 years ago

8 0

Answer:

Step-by-step explanation:

m∠ JHI + m∠GHJ = 180 { linear pair}

m∠JHI + 90 = 180

m∠JHI = 180 -90 = 90

In ΔGHJ and ΔJHI,

GJ = IJ { given}

JH = JH {common}

m∠ JHI = m∠GHJ { above proved}

ΔGHJ ≅ ΔJHI { Angle Side Side congruence}

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Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.

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2 years ago

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Find the value of x and y Please help me. Thank you

STatiana [176]

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

$\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ$

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x=60-40=20°

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2 years ago

10=ax+bx solve for x With steps please

laila [671]

Answer:

$\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Factoring

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 10 = ax + bx$

Step 2: Solve for x

Factor: $\displaystyle 10 = ax + bx \rightarrow 10 = x(a + b)$
[Division Property of Equality] Divide a + b on both sides: $\displaystyle 10 = ax + bx \rightarrow x = \frac{10}{a + b}$

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2 years ago

You need a 50% solution. On hand, you have a 200 mL of a 35% alcohol mixture. You also have 70% alcohol mixture. How much of the

CaHeK987 [17]

Answer:

150 mL

Step-by-step explanation:

We need a mixture that is at 50%, now we have 200 mL at 35% and another mixture that is at 70%, that is, we must calculate how much of this mixture is added, by the following equation

200 * 35% + x * 70% = 50% (x + 200)

70 + 0.7 * x = 0.5 * x + 100

0.7 * x - 0.5 * x = 100 - 70

0.2 * x = 30

x = 30 / 0.2

x = 150

150 mL must be added so that the mixture is 50%.

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2 years ago

How Do you graph 2x+8y=-32

Neporo4naja [7]

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2 years ago