All categories

3 years ago

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

Mathematics

2 answers:

Paul [167]3 years ago

8 0

∡E + ∡D = 180°
∡E = 54° } => ∡D=180°-54°=126°

∡D+∡G+∡H=180°
∡D=126°
∡G=29° } => ∡H=180°-(126°+29°)=180°-155°=25°

MrRissso [65]3 years ago

5 0

From the figure, you can say that angle E is equal to angle C because they both are vertically opposite. So, you can find angle D by substracting angle E and D from 360° (sum of angles at a point) and dividing the answer by two:
360°-54°-54° = 252°
252°÷2 = 126°
Then, you can find angle H by substracting the values of angle G and angle D from 180° (sum of angles in a triangle):
180°-126°-29° = 25°
Therefore, the answer is 25°.
I hope this answered your question :)

You might be interested in

Which expression is equivalent to 5(4f+3)-2f

Ierofanga [76]

Answer:

f = 5/6

Step-by-step explanation:

5(4f + 3) - 2f

= 20f + 15 - 2f

= 18f + 15

18f = 15

f = 15/18

f = 5/6

6 0

2 years ago

Read 2 more answers

What is 1/5 × -3/2 +4/5 × -2/7 × -1/6 × -2/7

velikii [3]

Answer:

$\frac{-457}{1470}$

Step-by-step explanation:

$\frac{1}{5} \times \frac{-3}{2} + \frac{4}{5} \times \frac{-2}{7} \times \frac{-1}{6} \times \frac{-2}{7}$

$(\frac{1}{5} \times \frac{-3}{2}) + (\frac{4}{5} \times \frac{-2}{7} \times \frac{-1}{6} \times \frac{-2}{7})$

$\frac{-3}{10} +\frac{-16}{1470}$

$=\frac{-457}{1470}$

4 0

3 years ago

Read 2 more answers

In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.

m_a_m_a [10]

First blank: Substitution or transitive property of equality

Second blank: Subtraction property of equality

7 0

1 year ago

A line passes throughout (-3,-2) and is perpendicular to 3x-2y=7. What is the equation of the line in slope-intercept form? A. Y

marissa [1.9K]

3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2....slope of this line is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -2/3 (see how I flipped the slope and changed the sign)

y = mx + b
slope(m) = -2/3
(-3,-2).....x = -3 and y = -2
now we sub and find b, the y int
-2 = -2/3(-3) = b
-2 = 2 + b
-2 - 2 = b
-4 = b

so ur perpendicular equation is : y = -2/3x - 4 <==

6 0

2 years ago

A bank features a savings account that has an annual percentage rate of r=5.2% with interest compounded quarterly. Marcus deposi

Aloiza [94]

Answer:

Part A)

$P=\$8,500\\ r=0.052\\n=4$